{"id":26895,"date":"2023-03-30T04:47:40","date_gmt":"2023-03-30T04:47:40","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=26895"},"modified":"2024-02-05T16:14:04","modified_gmt":"2024-02-05T16:14:04","slug":"volume-of-a-square-box-definition-formula-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-square-box","title":{"rendered":"Volume of a Square Box \u2013 Definition, Formula, Examples"},"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-6ae40162-7bef-44e6-bbad-a22fe6e5c50c\" 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\/volume-of-square-box#0-what-is-the-volume-of-a-square-box>What Is the Volume of a Square Box?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-square-box#6-how-to-find-the-volume-of-a-square-box>How to Find the Volume of a Square Box<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-square-box#7-facts-about-volume-of-a-square-box>Facts about Volume of a Square Box<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-square-box#9-solved-examples-on-volume-of-a-square-box>Solved Examples on Volume of a Square Box<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-square-box#10-practice-problems-on-volume-of-a-square-box>Practice Problems on Volume of a Square Box<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-square-box#11-frequently-asked-questions-on-volume-of-a-square-box>Frequently Asked Questions on Volume of a Square Box<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-the-volume-of-a-square-box\">What Is the Volume of a Square Box?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Volume of a square box is the total space occupied by the square box and it is given by <\/strong>$(side)^3$<strong>.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">A square box is a box that is cubic in shape. Thus, in a square box, the dimensions of length, width and height measure the same. A square box is a 3D solid object that has:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>6 square faces<\/strong><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><strong>8 vertices<\/strong><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><strong>12 edges<\/strong><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"322\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/square-box-and-a-cube.jpg\" alt=\"\" class=\"wp-image-33743\" title=\"Square box and a cube\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/square-box-and-a-cube.jpg 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/square-box-and-a-cube-300x156.jpg 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Volume is the space occupied by the 3D shape. It is also defined as the number of unit cubes (a cube with a side of 1 unit) that can be fit into it. Thus, if 27 unit cubes can perfectly fit in the given square box, we can say that its volume is 27 cubic units.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/volume-of-a-square-box-using-unit-cubes-visual.png\" alt=\"Volume of a square box using unit cubes visual\" class=\"wp-image-33744\" title=\"Volume of a square box using unit cubes visual\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/volume-of-a-square-box-using-unit-cubes-visual.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/volume-of-a-square-box-using-unit-cubes-visual-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Volume is measured in cubic units, such as cubic feet, $cm^3,\\; m^3,\\; in^3$, etc. The volume of a square box is calculated by calculating the cube of the side.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"1-volume-of-a-square-box-definition\">Volume of a Square Box: Definition<\/h3>\n\n\n\n<p class=\"eplus-wrapper\"><strong>The volume of a square box is defined as the cube of length of the side of the square box.<\/strong> Finding the volume of a box is simple once we know the side of the box.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If the side of the square box is \u201cs\u201d units, then its volume is given by<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume $= s^3$ cubic units<\/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\/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\/classify-squares-and-trapezoids-as-closed-shape\" 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\/geometry_square_trapezoid_2_pt.png\" alt=\"Classify Squares and Trapezoids as Closed Shape 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\">Classify Squares and Trapezoids as Closed Shape 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\/estimate-the-volume-of-a-given-shape\" 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_estimate_vol_1_pt.png\" alt=\"Estimate the Volume of a Given Shape 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\">Estimate the Volume of a Given Shape 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-with-unit-squares\" 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_2_pt.png\" alt=\"Find the Area with Unit Squares 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 with Unit Squares 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-perimeter-of-the-squared-and-the-rectangles\" 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_peri_rectangle_2_pt.png\" alt=\"Find the Perimeter of the Squared and the Rectangles 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 Perimeter of the Squared and the Rectangles 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-volume-of-the-3d-shape-by-iterating\" 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_iterate_vol_1_pt.png\" alt=\"Find the Volume of the 3D Shape by Iterating 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 Volume of the 3D Shape by Iterating 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-volume-using-unit-cubes\" 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_vol_unit_cubes_2_pt.png\" alt=\"Find the Volume using Unit Cubes 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 Volume using Unit Cubes 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-volume-using-the-formula\" 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_vol_formula_pt.png\" alt=\"Find Volume using the Formula 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 Volume using the Formula 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\/identify-kite-squares-and-rectangles\" 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\/geometry_square_rectangle_pt.png\" alt=\"Identify Kite, Squares and Rectangles 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\">Identify Kite, Squares and Rectangles 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=\"2-volume-of-a-square-box-formula\">Volume of a Square Box Formula<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Based on the discussion above, the formula for the volume of a square box can be formulated through three different methods.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"3-when-the-length-of-the-side-is-given\">When the Length of the Side Is Given<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The formula for the volume of a cube, when the dimensions of the side is given, can be written as:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$Volume\\; of\\; a\\; square\\; box = (side)^3$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"4-when-the-base-area-and-height-is-given\">When the Base Area and Height Is Given<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The formula for the volume of a cube when the base area and height is given can be written as:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$Volume\\; of\\; a\\; square\\; box = Base\\; Area \\times Height$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"5-when-the-measure-of-diagonal-is-given\">When the Measure of Diagonal Is Given<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The formula for the volume of a cube, when the measure of diagonal is given, can be written as:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$Volume\\; of\\; a\\; square\\; box\\; = \\frac{\\sqrt{3}\\; (diagonal)^3}{9}$<\/p>\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\/compare-numbers-within-10-and-color-the-boxes\" 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-numbers-within-10-and-color-the-boxes.jpeg\" alt=\"Compare Numbers within 10 and Color the Boxes\">\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-numbers-within-20-and-color-the-boxes\" 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-numbers-within-20-and-color-the-boxes.jpeg\" alt=\"Compare Numbers within 20 and Color the Boxes\">\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\/squares-and-circles\" 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\/squares-and-circles.jpeg\" alt=\"Squares and Circles 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><p class=\"recommended-games-container-desc\"><a 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                    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=\"6-how-to-find-the-volume-of-a-square-box\">How to Find the Volume of a Square Box<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1: <\/strong>If the length of the box is given, use the formula V = s<sup>3<\/sup> to find the volume.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2:<\/strong> If the length of the diagonal is known, use the formula&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$V = \\frac{\\sqrt{3}\\; (diagonal)^3}{9}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3:<\/strong> If we know the base area and height, use the formula<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$V = Base\\; Area \\times Height$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-facts-about-volume-of-a-square-box\">Facts about Volume of a Square Box<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">A rectangular box or a rectangular prism is similar to a square box. However, its three dimensions are not equal. How to calculate volume of a box like this?<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">The equation for volume of a box shown in the figure is given by:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume of a rectangular prism $=$ lwh<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"359\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/volume-of-a-square-box.png\" alt=\"Volume of a square box\" class=\"wp-image-33745\" title=\"Volume of a square box\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/volume-of-a-square-box.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/volume-of-a-square-box-300x174.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">A square box is the 3D version of a square.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this article, we learned about the volume of the square box. We saw the different formulas and then the ways to calculate. We solved some practice problems for our better understanding.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-solved-examples-on-volume-of-a-square-box\">Solved Examples on Volume of a Square Box<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. How to calculate the volume of a box whose dimension is 4 inches?<\/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, $s = 4$ in<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Using the equation for volume of a box square in shape: $V = side^3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow$ volume of the square box $= (4\\; in)^3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow$ volume of the square box $= 64\\; inches^3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the volume of the square box is 64 cubic inches.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. The length of the diagonal of a square box is 1 unit. Find the volume of the box.<\/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 diagonal $= 1$ unit<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Using the formula for the volume of the square box:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume of the square box $= \\frac{\\sqrt{3} \\times diagonal^3}{9}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow$ Volume of the square box $= \\frac{\\sqrt{3} \\times 1^3}{9} = \\frac{\\sqrt{3}}{9} = 0.19245$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. A gift was put in a square box with a length of 12 feet. What is the volume of the box?<\/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,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$s = 12$ feet<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Using the formula for the volume of the square box: $V = side^3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow$ volume of the square box $= (12\\; feet)^3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow$ volume of the square box $= 1728\\; (feet)^3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the volume of the square box is 1728 cubic feet.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. Find the length of the edges of the cube, if its volume is equal to 343 cm<\/strong><strong><sup>3<\/sup><\/strong><strong>.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume of the cube $= 343\\; cm^3$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let the length of the edges be \u201cs.\u201d<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Using the formula for the volume of the square box: $V = side^3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Substituting the value, we get,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$343 = s^3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow s = ^3\\sqrt{}343$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow$ s = 7\\; cm$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the length of the cube is 7 cm.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>5. What is the volume of a square box if the base area is 25 square inches.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area of the base $= 25$ square inches<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We find the length of the side using the formula:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area of a square $= side^2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$25\\; in^2 = side^2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$Side = \\sqrt{25}\\; in^2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$Side = 5\\; inches$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The volume of a square box when base area and height are given is given by the formula: Base area \u00d7 Height<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, Volume of the square box $= 25\\; in^2 \\times 5\\; in$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow$ Volume of the square box $=125\\; in^3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the volume of the square box is 125 cubic inches.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-practice-problems-on-volume-of-a-square-box\">Practice Problems on Volume of a Square Box<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Volume of a Square Box \u2013 Definition, Formula, Examples<\/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 a square box is 6 in. Find the volume of the square box.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">116 inches$^3$<\/div><div class=\"spq_answer_block\" data-value=\"1\">216 inches$^3$<\/div><div class=\"spq_answer_block\" data-value=\"2\">316 inches$^3$<\/div><div class=\"spq_answer_block\" data-value=\"3\">416 inches$^3$<\/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: 216 inches$^3$<br\/>Length of the side $= s = 6$ in<br>\r\nUsing the formula for the volume of the square box: $V =  side^3$<br>\r\n$\\Rightarrow$ Volume of the square box $=(6)^3$<br>\r\n$\\Rightarrow$ Volume of the square box $=216$ inches$^3$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The length of the diagonal of a square box is $\\sqrt{3}$ units. Find the volume of the box.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1 cubic in<\/div><div class=\"spq_answer_block\" data-value=\"1\">5 cubic in<\/div><div class=\"spq_answer_block\" data-value=\"2\">4 cubic in<\/div><div class=\"spq_answer_block\" data-value=\"3\">9 cubic in<\/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: 1 cubic in<br\/>Length of the diagonal $= \\sqrt{3}$ units<br>\r\nUsing the formula for the volume of the square box:<br>\r\nVolume of the square box$= \\frac{\\sqrt{3}\\times diagonal^3}{9}$<br>\r\n$\\Rightarrow$ Volume of the square box $=\\frac{\\sqrt{3}\\times\\sqrt{3}^3}{9} = 1\\;in^3$<\/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\">A cube was put in a square box with a length of 3 inches. What is the volume of the box?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">25 cubic inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">17 cubic inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">27 cubic inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">29 cubic inches<\/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: 27 cubic inches<br\/>Length of the side, $s = 3$ inches<br>\r\nUsing the formula for the volume of the square box: V = s$^{3}$<br>\r\n$\\Rightarrow$ volume of the square box = $\\left(3\\right)^{3}$<br>\r\n$\\Rightarrow$ volume of the square box $=$ $27$ cubic inches<br>\r\nHence, the volume of the square box is 27 cubic inches.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Find the length of the edges of the cube, if its volume is equal to $512\\; cm^3$. <\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">2 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">6 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">8 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: 8 cm<br\/>Volume of the cube $= 512\\; cm^3$<br>\r\nVolume of the square box $= V = side^3$<br>\r\nSubstituting the value, we get<br>\r\n$512 = s^3$<br>\r\n$\\Rightarrow  s = ^3\\sqrt{512}$<br>\r\n$\\Rightarrow s = 8\\; cm$<br>\r\nHence, the length of the cube is 8 cm.<\/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\": \"Volume of a Square Box \u2013 Definition, Formula, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Volume of a Square Box\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The length of the side of a square box is 6 in. 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Find the volume of the box.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Length of the diagonal $$= \\\\sqrt{3}$$ units<br>\r\nUsing the formula for the volume of the square box:<br>\r\nVolume of the square box$$= \\\\frac{\\\\sqrt{3}\\\\times diagonal^3}{9}$$<br>\r\n$$\\\\Rightarrow$$ Volume of the square box $$=\\\\frac{\\\\sqrt{3}\\\\times\\\\sqrt{3}^3}{9} = 1\\\\;in^3$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 cubic in\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Length of the diagonal $$= \\\\sqrt{3}$$ units<br>\r\nUsing the formula for the volume of the square box:<br>\r\nVolume of the square box$$= \\\\frac{\\\\sqrt{3}\\\\times diagonal^3}{9}$$<br>\r\n$$\\\\Rightarrow$$ Volume of the square box $$=\\\\frac{\\\\sqrt{3}\\\\times\\\\sqrt{3}^3}{9} = 1\\\\;in^3$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4 cubic in\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Length of the diagonal $$= \\\\sqrt{3}$$ units<br>\r\nUsing the formula for the volume of the square box:<br>\r\nVolume of the square box$$= \\\\frac{\\\\sqrt{3}\\\\times diagonal^3}{9}$$<br>\r\n$$\\\\Rightarrow$$ Volume of the square box $$=\\\\frac{\\\\sqrt{3}\\\\times\\\\sqrt{3}^3}{9} = 1\\\\;in^3$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9 cubic in\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Length of the diagonal $$= \\\\sqrt{3}$$ units<br>\r\nUsing the formula for the volume of the square box:<br>\r\nVolume of the square box$$= \\\\frac{\\\\sqrt{3}\\\\times diagonal^3}{9}$$<br>\r\n$$\\\\Rightarrow$$ Volume of the square box $$=\\\\frac{\\\\sqrt{3}\\\\times\\\\sqrt{3}^3}{9} = 1\\\\;in^3$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"1 cubic in\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Length of the diagonal $$= \\\\sqrt{3}$$ units<br>\r\nUsing the formula for the volume of the square box:<br>\r\nVolume of the square box$$= \\\\frac{\\\\sqrt{3}\\\\times diagonal^3}{9}$$<br>\r\n$$\\\\Rightarrow$$ Volume of the square box $$=\\\\frac{\\\\sqrt{3}\\\\times\\\\sqrt{3}^3}{9} = 1\\\\;in^3$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Length of the diagonal $$= \\\\sqrt{3}$$ units<br>\r\nUsing the formula for the volume of the square box:<br>\r\nVolume of the square box$$= \\\\frac{\\\\sqrt{3}\\\\times diagonal^3}{9}$$<br>\r\n$$\\\\Rightarrow$$ Volume of the square box $$=\\\\frac{\\\\sqrt{3}\\\\times\\\\sqrt{3}^3}{9} = 1\\\\;in^3$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A cube was put in a square box with a length of 3 inches. What is the volume of the box?\",\n                    \"text\": \"A cube was put in a square box with a length of 3 inches. What is the volume of the box?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Length of the side, $$s = 3$$ inches<br>\r\nUsing the formula for the volume of the square box: V = s$$^{3}$$<br>\r\n$$\\\\Rightarrow$$ volume of the square box = $$\\\\left(3\\\\right)^{3}$$<br>\r\n$$\\\\Rightarrow$$ volume of the square box $$=$$ $$27$$ cubic inches<br>\r\nHence, the volume of the square box is 27 cubic inches.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"25 cubic inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Length of the side, $$s = 3$$ inches<br>\r\nUsing the formula for the volume of the square box: V = s$$^{3}$$<br>\r\n$$\\\\Rightarrow$$ volume of the square box = $$\\\\left(3\\\\right)^{3}$$<br>\r\n$$\\\\Rightarrow$$ volume of the square box $$=$$ $$27$$ cubic inches<br>\r\nHence, the volume of the square box is 27 cubic inches.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"17 cubic inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Length of the side, $$s = 3$$ inches<br>\r\nUsing the formula for the volume of the square box: V = s$$^{3}$$<br>\r\n$$\\\\Rightarrow$$ volume of the square box = $$\\\\left(3\\\\right)^{3}$$<br>\r\n$$\\\\Rightarrow$$ volume of the square box $$=$$ $$27$$ cubic inches<br>\r\nHence, the volume of the square box is 27 cubic inches.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"29 cubic inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Length of the side, $$s = 3$$ inches<br>\r\nUsing the formula for the volume of the square box: V = s$$^{3}$$<br>\r\n$$\\\\Rightarrow$$ volume of the square box = $$\\\\left(3\\\\right)^{3}$$<br>\r\n$$\\\\Rightarrow$$ volume of the square box $$=$$ $$27$$ cubic inches<br>\r\nHence, the volume of the square box is 27 cubic inches.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"27 cubic inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Length of the side, $$s = 3$$ inches<br>\r\nUsing the formula for the volume of the square box: V = s$$^{3}$$<br>\r\n$$\\\\Rightarrow$$ volume of the square box = $$\\\\left(3\\\\right)^{3}$$<br>\r\n$$\\\\Rightarrow$$ volume of the square box $$=$$ $$27$$ cubic inches<br>\r\nHence, the volume of the square box is 27 cubic inches.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Length of the side, $$s = 3$$ inches<br>\r\nUsing the formula for the volume of the square box: V = s$$^{3}$$<br>\r\n$$\\\\Rightarrow$$ volume of the square box = $$\\\\left(3\\\\right)^{3}$$<br>\r\n$$\\\\Rightarrow$$ volume of the square box $$=$$ $$27$$ cubic inches<br>\r\nHence, the volume of the square box is 27 cubic inches.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the length of the edges of the cube, if its volume is equal to $$512\\\\; cm^3$$. \",\n                    \"text\": \"Find the length of the edges of the cube, if its volume is equal to $$512\\\\; cm^3$$. \",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Volume of the cube $$= 512\\\\; cm^3$$<br>\r\nVolume of the square box $$= V = side^3$$<br>\r\nSubstituting the value, we get<br>\r\n$$512 = s^3$$<br>\r\n$$\\\\Rightarrow  s = ^3\\\\sqrt{512}$$<br>\r\n$$\\\\Rightarrow s = 8\\\\; cm$$<br>\r\nHence, the length of the cube is 8 cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of the cube $$= 512\\\\; cm^3$$<br>\r\nVolume of the square box $$= V = side^3$$<br>\r\nSubstituting the value, we get<br>\r\n$$512 = s^3$$<br>\r\n$$\\\\Rightarrow  s = ^3\\\\sqrt{512}$$<br>\r\n$$\\\\Rightarrow s = 8\\\\; cm$$<br>\r\nHence, the length of the cube is 8 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of the cube $$= 512\\\\; cm^3$$<br>\r\nVolume of the square box $$= V = side^3$$<br>\r\nSubstituting the value, we get<br>\r\n$$512 = s^3$$<br>\r\n$$\\\\Rightarrow  s = ^3\\\\sqrt{512}$$<br>\r\n$$\\\\Rightarrow s = 8\\\\; cm$$<br>\r\nHence, the length of the cube is 8 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of the cube $$= 512\\\\; cm^3$$<br>\r\nVolume of the square box $$= V = side^3$$<br>\r\nSubstituting the value, we get<br>\r\n$$512 = s^3$$<br>\r\n$$\\\\Rightarrow  s = ^3\\\\sqrt{512}$$<br>\r\n$$\\\\Rightarrow s = 8\\\\; cm$$<br>\r\nHence, the length of the cube is 8 cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"8 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Volume of the cube $$= 512\\\\; cm^3$$<br>\r\nVolume of the square box $$= V = side^3$$<br>\r\nSubstituting the value, we get<br>\r\n$$512 = s^3$$<br>\r\n$$\\\\Rightarrow  s = ^3\\\\sqrt{512}$$<br>\r\n$$\\\\Rightarrow s = 8\\\\; cm$$<br>\r\nHence, the length of the cube is 8 cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Volume of the cube $$= 512\\\\; cm^3$$<br>\r\nVolume of the square box $$= V = side^3$$<br>\r\nSubstituting the value, we get<br>\r\n$$512 = s^3$$<br>\r\n$$\\\\Rightarrow  s = ^3\\\\sqrt{512}$$<br>\r\n$$\\\\Rightarrow s = 8\\\\; cm$$<br>\r\nHence, the length of the cube is 8 cm.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-frequently-asked-questions-on-volume-of-a-square-box\">Frequently Asked Questions on Volume of a Square Box<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-1fbe277e-1b2e-4ecb-977a-c5810b056e2f\" 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-0-1fbe277e-1b2e-4ecb-977a-c5810b056e2f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1fbe277e-1b2e-4ecb-977a-c5810b056e2f\"><strong>What is the curved surface area of a square box?<\/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-0-1fbe277e-1b2e-4ecb-977a-c5810b056e2f\">\n\n<p class=\"eplus-wrapper\">The curved surface area of a square box is $4 \\times side^2$.<\/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-1-1fbe277e-1b2e-4ecb-977a-c5810b056e2f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1fbe277e-1b2e-4ecb-977a-c5810b056e2f\"><strong>What is the total surface area of a square box?<\/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-1-1fbe277e-1b2e-4ecb-977a-c5810b056e2f\">\n\n<p class=\"eplus-wrapper\">The total surface area of a square box is $6 \\times side^2$<sup> <\/sup>.<\/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-2-1fbe277e-1b2e-4ecb-977a-c5810b056e2f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1fbe277e-1b2e-4ecb-977a-c5810b056e2f\"><strong>Why are square boxes preferred in shipping?<\/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-2-1fbe277e-1b2e-4ecb-977a-c5810b056e2f\">\n\n<p class=\"eplus-wrapper\">Square boxes can be stored and stacked easily. Packing costs get cheaper. They don\u2019t roll easily. So, it is easy to organize them.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Volume of a Square Box? Volume of a square box is the total space occupied by the square box and it is given by $(side)^3$. A square box is a box that is cubic in shape. Thus, in a square box, the dimensions of length, width and height measure the same. A &#8230; <a title=\"Volume of a Square Box \u2013 Definition, Formula, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-square-box\" aria-label=\"More on Volume of a Square Box \u2013 Definition, Formula, Examples\">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-26895","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\/26895","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=26895"}],"version-history":[{"count":12,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26895\/revisions"}],"predecessor-version":[{"id":39964,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26895\/revisions\/39964"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=26895"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=26895"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=26895"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}