{"id":23498,"date":"2023-02-03T04:33:44","date_gmt":"2023-02-03T04:33:44","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=23498"},"modified":"2024-01-23T08:23:10","modified_gmt":"2024-01-23T08:23:10","slug":"surface-area-of-a-cube","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-cube","title":{"rendered":"Surface Area of a Cube"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-935904fe-220f-4784-8589-76cf3c6f4ca6\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-cube#0-surface-area-of-a-cube-introduction>Surface Area of a Cube: Introduction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-cube#1-what-is-the-surface-area-of-a-cube>What Is the Surface Area of a Cube?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-cube#7-total-surface-area-of-cube-formula>Total Surface Area of Cube Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-cube#12-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-cube#13-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-cube#14-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-surface-area-of-a-cube-introduction\">Surface Area of a Cube: Introduction<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Have you ever played the Rubik\u2019s cube or a dice? What is the shape of a dice? Both these objects have the shape of a cube.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"500\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/rubik-s-cube-and-dice-as-examples-of-a-cube.png\" alt=\"Rubik's cube and dice as examples of a cube\" class=\"wp-image-37522\" title=\"Rubik's cube and dice as examples of a cube\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/rubik-s-cube-and-dice-as-examples-of-a-cube.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/rubik-s-cube-and-dice-as-examples-of-a-cube-300x242.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">A cube is a three-dimensional solid having 6 congruent square faces. So, all its edges are equal in size. If you calculate the sum of the areas of all its 6 faces, it gives us the surface area of the cube.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"623\" height=\"414\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/representing-side-of-a-cube.png\" alt=\"Representing side of a cube\" class=\"wp-image-37523\" title=\"Representing side of a cube\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/representing-side-of-a-cube.png 623w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/representing-side-of-a-cube-300x199.png 300w\" sizes=\"auto, (max-width: 623px) 100vw, 623px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The surface area of a three-dimensional shape is the sum of the areas of all the faces of the shape. If you wish to calculate the amount of color paint required to paint the surface of the cube, you will need to know the surface area of the cube!<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-to-find-the-area\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_find_area_pt.png\" alt=\"Add to Find the Area Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add to Find the Area Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-of-composite-figure\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_10_gm.png\" alt=\"Area of Composite Figure Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area of Composite Figure Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-with-unit-squares-and-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_unit_sq_side_length_pt.png\" alt=\"Area with Unit Squares and Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area with Unit Squares and Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-word-problems-on-product-of-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_real_life_prob_area_pt.png\" alt=\"Area Word Problems on Product of Fractions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area Word Problems on Product of Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/build-the-area\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_3_4_5_gm.png\" alt=\"Build the Area Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Build the Area Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-the-area-of-rectilinear-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_rectilinear_shapes_pt.png\" alt=\"Determine the Area of Rectilinear Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine the Area of Rectilinear Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-area-by-multiplying-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_multi_side_length_1_pt.png\" alt=\"Find Area by Multiplying Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Area by Multiplying Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-area-in-square-units\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_1_2_gm.png\" alt=\"Find Area in Square Units Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Area in Square Units Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-area-by-multiplying-the-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_multiply_pt.png\" alt=\"Find the Area by Multiplying the Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Area by Multiplying the Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-area-of-shapes-using-unit-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_unit_square_side_length_pt.png\" alt=\"Find the Area of Shapes Using Unit Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Area of Shapes Using Unit Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-what-is-the-surface-area-of-a-cube\">What Is the Surface Area of a Cube?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Surface area of a cube is the total area of the outer surface of the cube.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since the cube has 6 congruent square-shaped faces, we can find the total surface area of the cube as $6a^{2}$, where a is the length of the side of the cube.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">There are two types of surface areas in a cube.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Lateral surface area: Total area of the lateral faces of the cube<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Total surface area: Total area of all the faces of the cube<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"519\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/surface-area-of-a-cube.png\" alt=\"Surface area of a cube\" class=\"wp-image-37524\" title=\"Surface area of a cube\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/surface-area-of-a-cube.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/surface-area-of-a-cube-300x251.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In other words, the surface area of a cube is the number of unit squares needed to cover the outer surfaces of the solid.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"514\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/surface-area-of-a-cube-explained-using-net.png\" alt=\"Surface area of a cube explained using net\" class=\"wp-image-37525\" title=\"Surface area of a cube explained using net\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/surface-area-of-a-cube-explained-using-net.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/surface-area-of-a-cube-explained-using-net-300x249.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-fractions-using-area-models.jpeg\" alt=\"Add Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-like-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-like-fractions-using-area-models.jpeg\" alt=\"Add Like Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-models.jpeg\" alt=\"Add Mixed Numbers and Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/compare-fractions-using-area-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/compare-fractions-using-area-model.jpeg\" alt=\"Compare Fractions Using Area Model Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-the-area-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/complete-the-area-model.jpeg\" alt=\"Complete the Area Model Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-the-equation-for-the-area-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/complete-the-equation-for-the-area-model.jpeg\" alt=\"Complete the Equation 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href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                   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the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-surface-area-of-a-cube-definition\">Surface Area of a Cube Definition<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The total surface area of a cube is the sum of all the areas of the faces of the cube.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">It is the number of unit squares needed to cover the outer surfaces of the solid. Surface area, just like any other area, is also measured in unit squares.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If the side of the cube is given by \u201ca\u201d unit, then the total surface area is given by $6a^{2}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The lateral surface area is the sum of the area of the lateral faces or side faces of the cube. The lateral surface area of the cube is $4a^{2}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-total-surface-area-of-cube\">Total Surface Area of Cube<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The total surface area of a cube implies the total area covered by all six faces of a cube.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"615\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/six-faces-of-a-cube.png\" alt=\"6 faces of a cube\" class=\"wp-image-37526\" title=\"6 faces of a cube\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/six-faces-of-a-cube.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/six-faces-of-a-cube-300x298.png 300w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/six-faces-of-a-cube-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/six-faces-of-a-cube-120x120.png 120w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The formula to calculate the TSA of a cube, we find the sum of the areas of these 6 faces.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The area of each face with length measuring \u201ca\u201d units $= a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, we know that there are 6 faces of a cube.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Total surface area of a cube formula $= 6a^{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-lateral-surface-area-of-cube\">Lateral Surface Area of Cube<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The lateral surface area of a cube implies the total area covered by the side or lateral faces of a cube. In lateral surface area, we include only the sides but not the top and bottom of the cube.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The formula to calculate LSA, we find the sum of areas of these 4 faces.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"414\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/lateral-surface-area-of-a-cube.png\" alt=\"Lateral surface area of a cube\" class=\"wp-image-37527\" title=\"Lateral surface area of a cube\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/lateral-surface-area-of-a-cube.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/lateral-surface-area-of-a-cube-300x200.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The area of each face with length measuring \u201ca\u201d units $= a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, we know that there are 6 faces of a cube but the top and bottom are excluded in the lateral surface area.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Lateral surface area of a cube $= 4a^{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-surface-area-of-cube-formula\">Surface Area of Cube Formula<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">If the side of the cube is given by \u201ca\u201d unit, then&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Total surface area of a cube $= 6a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Lateral Surface area of a cube $= 4a^{2}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"414\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/surface-area-of-a-cube-formulas.png\" alt=\"Surface area of a cube formulas\" class=\"wp-image-37528\" title=\"Surface area of a cube formulas\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/surface-area-of-a-cube-formulas.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/surface-area-of-a-cube-formulas-300x200.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-how-to-calculate-the-surface-area-of-a-cube\">How to Calculate the Surface Area of a Cube?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">To find the surface area of a cube, the steps are mentioned below:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 1:&nbsp; Identifying the length of the side of the cube.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 2: Finding the square of the length of the side of the cube. Such that we have an area of a single flat surface.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 3: IF we wish to find out the total surface area, we calculate the product of the square of side length by 6, or by using the formula $6a^{2}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Whereas if we wish to find the lateral surface area, we multiply the product of the square of side length by 4 or&nbsp; by using the formula $4a^{2}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-total-surface-area-of-cube-formula\">Total Surface Area of Cube Formula<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Total surface area of a cube $6a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example:<\/strong> Jason wishes to wrap a gift with cloth. The gift is square in shape. The length of each side wall is 5 inches. How to find surface area of a cube shaped gift that he has to cover.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that total Surface area of a cube $6a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, $a = 5$ inches.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Putting the values in the formula,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area that he has cover $=&nbsp;6a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><sup>&nbsp;<\/sup>$= 6 \\times (5 inches)^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 6 \\times 25$ $inches^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 150$ $inches^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence,&nbsp; the area that he has to cover $= 150$ $inches^{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-lateral-surface-area-of-cube-formula\">Lateral Surface Area of Cube Formula<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Lateral Surface area of a cube $= 4a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example: <\/strong>Larry wishes to paint the walls of his room. The walls are square in shape. The length of each wall is 96 inches. Find the area that he has to cover.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that Lateral Surface area of a cube $= 4a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, $a = 96$ inches.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Putting the values in the formula,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area $=&nbsp; 4a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><sup>&nbsp;<\/sup>$= 4 \\times (96 inches)^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 4 \\times 9216$&nbsp;$inches^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 36864$ $inches^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence,&nbsp; the area that he has to cover $= 36864$ $inches^{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-how-to-find-the-length-of-edge-of-the-cube\">How to Find the Length of Edge of the Cube?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Using the formula to find the surface area of a cube we can calculate the side of the cube.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">It is just like using the above mentioned formula but in a reverse way.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let the total Surface area of a cube be \u201cA.\u201d<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that total Surface area of a cube $= 6a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow A =&nbsp; 6a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow a^{2} = \\frac{A}{6}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow a = \\sqrt{\\frac{A}{6}}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, \u201ca\u201d &#8211; length of side<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u201cA\u201d &#8211; total surface area of a cube<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-fun-facts\">Fun Facts<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">A cube has 6 faces, 12 edges, and 8 vertices.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">All the edges of a cube have the same length.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this article, we learned about the surface area of a cube. We studied the total surface area of a cube and the lateral surface area of a cube. Let us now solve some practice problems to understand the concept better.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. The length of the side of the cube is 20 in. Find the total surface area of the cube.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Length of the side of the cube, $a = 20$ in.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Using the formula for the area of the cube, which is: $A = 6a^{2}$,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$A = 6 \\times 20 \\times&nbsp; 20$ $in^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$A = 2400$&nbsp; $in^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the surface area of the cube is 2400 square inches.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Kevin has been given a cube of base area 25 square units. Find the length of the side of the cube and the total surface area of the cube.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The base area of the cube $= 25$ square units.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Length of the side of the cube&#8217;a&#8217; $= \\sqrt{25} = 5$ units.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Total surface area: $A = 6a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$A = 6 \\times 5 \\times 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$A = 150$ $in^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the length of the base of the cube is 5 units, and the area of the cube is 150 square units.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. What is the lateral surface area of a cube of side length <\/strong>$=&nbsp; 60$<strong> feet?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Given, side length $(a) = 60$ feet.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Lateral surface area: $L = 4a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$L = 4 \\times 3600$ $ft^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$L = 14400$ $ft^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the lateral surface area of the cube is 14400 square feet.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. Calculate the cost required to paint a box which is in cube shape having an edge length of 2 feet. If the cost of painting an aquarium is <\/strong>$\\$10\/ft^{2}$<strong>.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Total surface area of aquarium $= 6 \\times a^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 6 \\times (2$ $ft)^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 24$ sq. ft<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Total cost of painting the aquarium $= 10&nbsp; \\times 24= \\$240$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>5. Find the length of the edge of the cube, if its area is 1200 sq. cm.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Given, area $= 1200$ sq. cm.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know,Length of edge of cube $= \\sqrt{\\frac{A}{6}} = \\sqrt{\\frac{1200}{6}} = \\sqrt{200} = 14.14$ $cm$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Surface Area of a Cube<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The length of the side of the cube is 36 in. The total surface area of the cube is:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$7500\\;in^2$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$7776\\;in^2$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$3600\\;in^2$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$7200\\;in^2$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $7776\\;in^2$<br\/>Length of the side of the cube, $a = 36$ in.<br>\r\nUsing the formula for the area of the cube, which is:<br>\r\n$TSA = 6a^2$,<br>\r\n$TSA = 6\\times36\\times36\\;in^2$<br>\r\n$TSA = 7776\\;in^2$<br>\r\nTherefore, the surface area of the cube is 7776 square inches.<br>\r\nHence, option b)$7776\\;in^2$, is correct<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Marry has been given a cube of base area 49 square units. The length of the side of the cube and the total surface area of the cube is:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Length $= 5$ in, Area $= 125\\;in^2$<\/div><div class=\"spq_answer_block\" data-value=\"1\">Length $= 6$ in, Area $= 226\\;in^2$<\/div><div class=\"spq_answer_block\" data-value=\"2\">Length $= 7$ in, Area $= 294\\;in^2$<\/div><div class=\"spq_answer_block\" data-value=\"3\">Length $= 8$ in, Area$ =\\;in^2$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Length $= 7$ in, Area $= 294\\;in^2$<br\/>The base area of the cube $= 49$ square units.<br>\r\nLength of the side of the cube 'a' $= \\sqrt{49} = 7$ units.<br>\r\nTotal surface area: $A = 6a^2$<br>\r\n$A = 6\\times7\\times7$ <br>\r\n$A = 294\\;in^2$<br>\r\nTherefore, the length of the base of the cube is 7 units, and the area of the cube is 294 square units.<br>\r\nHence, option c) is correct<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the lateral surface area of a cube of side length $= 15$ feet?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$750\\;ft^2$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$800\\;ft^2$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$900\\;ft^2$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$1000\\;ft^2$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $900\\;ft^2$<br\/>Given, side length (a) $= 15$ feet.<br>\r\nLateral surface area: L $= 4a^2$<br>\r\n$L = 4 \\times 225$ $ft^2$<br>\r\n$L = 900\\;ft^2$<br>\r\nTherefore, the lateral surface area of the cube is 900 square feet.<br>\r\nHence option c) is correct<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Calculate the cost required to cover a box which is in cube shape having an edge length of 25 feet. If the painting cost of an aquarium is $\\$6\/ft^2$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\$ 20000$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\$ 22500$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\$ 25000$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\$ 18500$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\$ 22500$<br\/>Total surface area of aquarium $= 6\\times a^2$<br>\r\n$= 6\\times(25\\; ft)^2$<br>\r\n$= 3750$ sq. ft<br>\r\nTotal cost of painting the aquarium $= 6\\times3750= \\$22500$<br>\r\nHence, option b) is correct<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Find the length of the edge of the cube, if its total surface area is 294 sq.cm.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">7 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">8 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">5 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">10 cm<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 7 cm<br\/>Given, area $= 294$ sq.cm.<br>\r\nWe know,<br>\r\nLength of edge of cube $= \\sqrt{\\frac{A}{6}} = \\sqrt{\\frac{294}{6}} = \\sqrt{49} = 7$cm.<br>\r\nHence, option a) is correct<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Surface Area of a Cube\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Surface Area of a Cube\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The length of the side of the cube is 36 in. The total surface area of the cube is:\",\n                    \"text\": \"The length of the side of the cube is 36 in. The total surface area of the cube is:\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Length of the side of the cube, $$a = 36$$ in.<br>\r\nUsing the formula for the area of the cube, which is:<br>\r\n$$TSA = 6a^2$$,<br>\r\n$$TSA = 6\\\\times36\\\\times36\\\\;in^2$$<br>\r\n$$TSA = 7776\\\\;in^2$$<br>\r\nTherefore, the surface area of the cube is 7776 square inches.<br>\r\nHence, option b)$$7776\\\\;in^2$$, is correct\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$7500\\\\;in^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Length of the side of the cube, $$a = 36$$ in.<br>\r\nUsing the formula for the area of the cube, which is:<br>\r\n$$TSA = 6a^2$$,<br>\r\n$$TSA = 6\\\\times36\\\\times36\\\\;in^2$$<br>\r\n$$TSA = 7776\\\\;in^2$$<br>\r\nTherefore, the surface area of the cube is 7776 square inches.<br>\r\nHence, option b)$$7776\\\\;in^2$$, is correct\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3600\\\\;in^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Length of the side of the cube, $$a = 36$$ in.<br>\r\nUsing the formula for the area of the cube, which is:<br>\r\n$$TSA = 6a^2$$,<br>\r\n$$TSA = 6\\\\times36\\\\times36\\\\;in^2$$<br>\r\n$$TSA = 7776\\\\;in^2$$<br>\r\nTherefore, the surface area of the cube is 7776 square inches.<br>\r\nHence, option b)$$7776\\\\;in^2$$, is correct\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$7200\\\\;in^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Length of the side of the cube, $$a = 36$$ in.<br>\r\nUsing the formula for the area of the cube, which is:<br>\r\n$$TSA = 6a^2$$,<br>\r\n$$TSA = 6\\\\times36\\\\times36\\\\;in^2$$<br>\r\n$$TSA = 7776\\\\;in^2$$<br>\r\nTherefore, the surface area of the cube is 7776 square inches.<br>\r\nHence, option b)$$7776\\\\;in^2$$, is correct\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$7776\\\\;in^2$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Length of the side of the cube, $$a = 36$$ in.<br>\r\nUsing the formula for the area of the cube, which is:<br>\r\n$$TSA = 6a^2$$,<br>\r\n$$TSA = 6\\\\times36\\\\times36\\\\;in^2$$<br>\r\n$$TSA = 7776\\\\;in^2$$<br>\r\nTherefore, the surface area of the cube is 7776 square inches.<br>\r\nHence, option b)$$7776\\\\;in^2$$, is correct\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Length of the side of the cube, $$a = 36$$ in.<br>\r\nUsing the formula for the area of the cube, which is:<br>\r\n$$TSA = 6a^2$$,<br>\r\n$$TSA = 6\\\\times36\\\\times36\\\\;in^2$$<br>\r\n$$TSA = 7776\\\\;in^2$$<br>\r\nTherefore, the surface area of the cube is 7776 square inches.<br>\r\nHence, option b)$$7776\\\\;in^2$$, is correct\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Marry has been given a cube of base area 49 square units. The length of the side of the cube and the total surface area of the cube is:\",\n                    \"text\": \"Marry has been given a cube of base area 49 square units. The length of the side of the cube and the total surface area of the cube is:\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The base area of the cube $$= 49$$ square units.<br>\r\nLength of the side of the cube 'a' $$= \\\\sqrt{49} = 7$$ units.<br>\r\nTotal surface area: $$A = 6a^2$$<br>\r\n$$A = 6\\\\times7\\\\times7$$ <br>\r\n$$A = 294\\\\;in^2$$<br>\r\nTherefore, the length of the base of the cube is 7 units, and the area of the cube is 294 square units.<br>\r\nHence, option c) is correct\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Length $$= 5$$ in, Area $$= 125\\\\;in^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The base area of the cube $$= 49$$ square units.<br>\r\nLength of the side of the cube 'a' $$= \\\\sqrt{49} = 7$$ units.<br>\r\nTotal surface area: $$A = 6a^2$$<br>\r\n$$A = 6\\\\times7\\\\times7$$ <br>\r\n$$A = 294\\\\;in^2$$<br>\r\nTherefore, the length of the base of the cube is 7 units, and the area of the cube is 294 square units.<br>\r\nHence, option c) is correct\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Length $$= 6$$ in, Area $$= 226\\\\;in^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The base area of the cube $$= 49$$ square units.<br>\r\nLength of the side of the cube 'a' $$= \\\\sqrt{49} = 7$$ units.<br>\r\nTotal surface area: $$A = 6a^2$$<br>\r\n$$A = 6\\\\times7\\\\times7$$ <br>\r\n$$A = 294\\\\;in^2$$<br>\r\nTherefore, the length of the base of the cube is 7 units, and the area of the cube is 294 square units.<br>\r\nHence, option c) is correct\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Length $$= 8$$ in, Area$$ =\\\\;in^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The base area of the cube $$= 49$$ square units.<br>\r\nLength of the side of the cube 'a' $$= \\\\sqrt{49} = 7$$ units.<br>\r\nTotal surface area: $$A = 6a^2$$<br>\r\n$$A = 6\\\\times7\\\\times7$$ <br>\r\n$$A = 294\\\\;in^2$$<br>\r\nTherefore, the length of the base of the cube is 7 units, and the area of the cube is 294 square units.<br>\r\nHence, option c) is correct\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Length $$= 7$$ in, Area $$= 294\\\\;in^2$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The base area of the cube $$= 49$$ square units.<br>\r\nLength of the side of the cube 'a' $$= \\\\sqrt{49} = 7$$ units.<br>\r\nTotal surface area: $$A = 6a^2$$<br>\r\n$$A = 6\\\\times7\\\\times7$$ <br>\r\n$$A = 294\\\\;in^2$$<br>\r\nTherefore, the length of the base of the cube is 7 units, and the area of the cube is 294 square units.<br>\r\nHence, option c) is correct\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The base area of the cube $$= 49$$ square units.<br>\r\nLength of the side of the cube 'a' $$= \\\\sqrt{49} = 7$$ units.<br>\r\nTotal surface area: $$A = 6a^2$$<br>\r\n$$A = 6\\\\times7\\\\times7$$ <br>\r\n$$A = 294\\\\;in^2$$<br>\r\nTherefore, the length of the base of the cube is 7 units, and the area of the cube is 294 square units.<br>\r\nHence, option c) is correct\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the lateral surface area of a cube of side length $$= 15$$ feet?\",\n                    \"text\": \"What is the lateral surface area of a cube of side length $$= 15$$ feet?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Given, side length (a) $$= 15$$ feet.<br>\r\nLateral surface area: L $$= 4a^2$$<br>\r\n$$L = 4 \\\\times 225$$ $$ft^2$$<br>\r\n$$L = 900\\\\;ft^2$$<br>\r\nTherefore, the lateral surface area of the cube is 900 square feet.<br>\r\nHence option c) is correct\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$750\\\\;ft^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The base area of the cube $$= 49$$ square units.<br>\r\nLength of the side of the cube 'a' $$= \\\\sqrt{49} = 7$$ units.<br>\r\nTotal surface area: $$A = 6a^2$$<br>\r\n$$A = 6\\\\times7\\\\times7$$ <br>\r\n$$A = 294\\\\;in^2$$<br>\r\nTherefore, the length of the base of the cube is 7 units, and the area of the cube is 294 square units.<br>\r\nHence, option c) is correct\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$800\\\\;ft^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The base area of the cube $$= 49$$ square units.<br>\r\nLength of the side of the cube 'a' $$= \\\\sqrt{49} = 7$$ units.<br>\r\nTotal surface area: $$A = 6a^2$$<br>\r\n$$A = 6\\\\times7\\\\times7$$ <br>\r\n$$A = 294\\\\;in^2$$<br>\r\nTherefore, the length of the base of the cube is 7 units, and the area of the cube is 294 square units.<br>\r\nHence, option c) is correct\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1000\\\\;ft^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The base area of the cube $$= 49$$ square units.<br>\r\nLength of the side of the cube 'a' $$= \\\\sqrt{49} = 7$$ units.<br>\r\nTotal surface area: $$A = 6a^2$$<br>\r\n$$A = 6\\\\times7\\\\times7$$ <br>\r\n$$A = 294\\\\;in^2$$<br>\r\nTherefore, the length of the base of the cube is 7 units, and the area of the cube is 294 square units.<br>\r\nHence, option c) is correct\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$900\\\\;ft^2$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The base area of the cube $$= 49$$ square units.<br>\r\nLength of the side of the cube 'a' $$= \\\\sqrt{49} = 7$$ units.<br>\r\nTotal surface area: $$A = 6a^2$$<br>\r\n$$A = 6\\\\times7\\\\times7$$ <br>\r\n$$A = 294\\\\;in^2$$<br>\r\nTherefore, the length of the base of the cube is 7 units, and the area of the cube is 294 square units.<br>\r\nHence, option c) is correct\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The base area of the cube $$= 49$$ square units.<br>\r\nLength of the side of the cube 'a' $$= \\\\sqrt{49} = 7$$ units.<br>\r\nTotal surface area: $$A = 6a^2$$<br>\r\n$$A = 6\\\\times7\\\\times7$$ <br>\r\n$$A = 294\\\\;in^2$$<br>\r\nTherefore, the length of the base of the cube is 7 units, and the area of the cube is 294 square units.<br>\r\nHence, option c) is correct\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Calculate the cost required to cover a box which is in cube shape having an edge length of 25 feet. If the painting cost of an aquarium is $$\\\\$$6\/ft^2$$.\",\n                    \"text\": \"Calculate the cost required to cover a box which is in cube shape having an edge length of 25 feet. If the painting cost of an aquarium is $$\\\\$$6\/ft^2$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Total surface area of aquarium $$= 6\\\\times a^2$$<br>\r\n$$= 6\\\\times(25\\\\; ft)^2$$<br>\r\n$$= 3750$$ sq. ft<br>\r\nTotal cost of painting the aquarium $$= 6\\\\times3750= \\\\$$22500$$<br>\r\nHence, option b) is correct\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$ 20000$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total surface area of aquarium $$= 6\\\\times a^2$$<br>\r\n$$= 6\\\\times(25\\\\; ft)^2$$<br>\r\n$$= 3750$$ sq. ft<br>\r\nTotal cost of painting the aquarium $$= 6\\\\times3750= \\\\$$22500$$<br>\r\nHence, option b) is correct\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$ 25000$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total surface area of aquarium $$= 6\\\\times a^2$$<br>\r\n$$= 6\\\\times(25\\\\; ft)^2$$<br>\r\n$$= 3750$$ sq. ft<br>\r\nTotal cost of painting the aquarium $$= 6\\\\times3750= \\\\$$22500$$<br>\r\nHence, option b) is correct\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$ 18500$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total surface area of aquarium $$= 6\\\\times a^2$$<br>\r\n$$= 6\\\\times(25\\\\; ft)^2$$<br>\r\n$$= 3750$$ sq. ft<br>\r\nTotal cost of painting the aquarium $$= 6\\\\times3750= \\\\$$22500$$<br>\r\nHence, option b) is correct\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\$$ 22500$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Total surface area of aquarium $$= 6\\\\times a^2$$<br>\r\n$$= 6\\\\times(25\\\\; ft)^2$$<br>\r\n$$= 3750$$ sq. ft<br>\r\nTotal cost of painting the aquarium $$= 6\\\\times3750= \\\\$$22500$$<br>\r\nHence, option b) is correct\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Total surface area of aquarium $$= 6\\\\times a^2$$<br>\r\n$$= 6\\\\times(25\\\\; ft)^2$$<br>\r\n$$= 3750$$ sq. ft<br>\r\nTotal cost of painting the aquarium $$= 6\\\\times3750= \\\\$$22500$$<br>\r\nHence, option b) is correct\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the length of the edge of the cube, if its total surface area is 294 sq.cm.\",\n                    \"text\": \"Find the length of the edge of the cube, if its total surface area is 294 sq.cm.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Given, area $$= 294$$ sq.cm.<br>\r\nWe know,<br>\r\nLength of edge of cube $$= \\\\sqrt{\\\\frac{A}{6}} = \\\\sqrt{\\\\frac{294}{6}} = \\\\sqrt{49} = 7$$cm.<br>\r\nHence, option a) is correct\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Given, area $$= 294$$ sq.cm.<br>\r\nWe know,<br>\r\nLength of edge of cube $$= \\\\sqrt{\\\\frac{A}{6}} = \\\\sqrt{\\\\frac{294}{6}} = \\\\sqrt{49} = 7$$cm.<br>\r\nHence, option a) is correct\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Given, area $$= 294$$ sq.cm.<br>\r\nWe know,<br>\r\nLength of edge of cube $$= \\\\sqrt{\\\\frac{A}{6}} = \\\\sqrt{\\\\frac{294}{6}} = \\\\sqrt{49} = 7$$cm.<br>\r\nHence, option a) is correct\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Given, area $$= 294$$ sq.cm.<br>\r\nWe know,<br>\r\nLength of edge of cube $$= \\\\sqrt{\\\\frac{A}{6}} = \\\\sqrt{\\\\frac{294}{6}} = \\\\sqrt{49} = 7$$cm.<br>\r\nHence, option a) is correct\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"7 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Given, area $$= 294$$ sq.cm.<br>\r\nWe know,<br>\r\nLength of edge of cube $$= \\\\sqrt{\\\\frac{A}{6}} = \\\\sqrt{\\\\frac{294}{6}} = \\\\sqrt{49} = 7$$cm.<br>\r\nHence, option a) is correct\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Given, area $$= 294$$ sq.cm.<br>\r\nWe know,<br>\r\nLength of edge of cube $$= \\\\sqrt{\\\\frac{A}{6}} = \\\\sqrt{\\\\frac{294}{6}} = \\\\sqrt{49} = 7$$cm.<br>\r\nHence, option a) is correct\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"14-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-6da3f461-b844-406b-85cd-a954b5b8fa9f\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-6da3f461-b844-406b-85cd-a954b5b8fa9f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6da3f461-b844-406b-85cd-a954b5b8fa9f\"><strong>What is the formula for the surface area of the cuboid?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-6da3f461-b844-406b-85cd-a954b5b8fa9f\">\n\n<p class=\"eplus-wrapper\">The surface area of the cuboid can be calculated using the formulas given below:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Lateral Surface Area $= 2h(l + b)$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Total Surface Area $= 2(lb + bh + hl)$<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-6da3f461-b844-406b-85cd-a954b5b8fa9f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6da3f461-b844-406b-85cd-a954b5b8fa9f\"><strong>What is the volume of a cube?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-6da3f461-b844-406b-85cd-a954b5b8fa9f\">\n\n<p class=\"eplus-wrapper\">The volume of a cube is the space occupied within the cube. The volume a cube of length of side \u201ca\u201d units can be calculated using the formulaVolume $= a^{3}$.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-6da3f461-b844-406b-85cd-a954b5b8fa9f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6da3f461-b844-406b-85cd-a954b5b8fa9f\"><strong>What is a cuboid?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-6da3f461-b844-406b-85cd-a954b5b8fa9f\">\n\n<p class=\"eplus-wrapper\">A cuboid is a three-dimensional figure or solid which has six rectangular faces.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-6da3f461-b844-406b-85cd-a954b5b8fa9f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6da3f461-b844-406b-85cd-a954b5b8fa9f\"><strong>What is the volume of the volume of a cylinder?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-6da3f461-b844-406b-85cd-a954b5b8fa9f\">\n\n<p class=\"eplus-wrapper\">The volume of a cylinder is given by $\\pi r^{2} h$;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">where, $r =$ radius of the base,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$h =$ height of the cylinder.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-6da3f461-b844-406b-85cd-a954b5b8fa9f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6da3f461-b844-406b-85cd-a954b5b8fa9f\"><strong>Name some 3D shapes.<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-6da3f461-b844-406b-85cd-a954b5b8fa9f\">\n\n<p class=\"eplus-wrapper\">Some 3-D shapes are cube, cuboid, cylinder, sphere, cylinder, hemisphere, etc.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Surface Area of a Cube: Introduction Have you ever played the Rubik\u2019s cube or a dice? What is the shape of a dice? Both these objects have the shape of a cube. A cube is a three-dimensional solid having 6 congruent square faces. So, all its edges are equal in size. If you calculate the &#8230; <a title=\"Surface Area of a Cube\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-cube\" aria-label=\"More on Surface Area of a Cube\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-23498","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/23498","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=23498"}],"version-history":[{"count":15,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/23498\/revisions"}],"predecessor-version":[{"id":37529,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/23498\/revisions\/37529"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=23498"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=23498"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=23498"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}