{"id":4276,"date":"2022-05-10T12:41:31","date_gmt":"2022-05-10T12:41:31","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=4276"},"modified":"2024-03-15T06:46:28","modified_gmt":"2024-03-15T06:46:28","slug":"volumn-of-rectangular-prism-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-rectangular-prism","title":{"rendered":"Volume of a Rectangular Prism &#8211; Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><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-33610304-fdfe-45de-915a-e2ee2203a298\" 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-rectangular-prism#0-what-is-a-rectangular-prism>What Is a Rectangular Prism?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-rectangular-prism#1-difference-between-rectangle-amp-rectangular-prism>Difference between Rectangle &amp; Rectangular Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-rectangular-prism#2-the-formula-for-volume-of-a-rectangular-prism>The Formula for Volume of a Rectangular Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-rectangular-prism#3-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-rectangular-prism#4-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-rectangular-prism#5-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\" id=\"0-you-see-it-in-boxes-as-you-grab-a-tissue-or-pop-open-your-breakfast-cereal-box-you-see-it-in-books-as-you-remove-your-bookmarks-to-begin-reading-you-see-it-in-laptops-as-you-finish-typing-your-latest-assignment-\">You see it in boxes as you grab a tissue or pop open your box of cereal. You see it in books as you remove your bookmarks to begin reading. You see it in laptops as you finish typing your latest assignment.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Yes, we are talking about the rectangular prism.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-rectangular-prism\">What Is a Rectangular Prism?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A rectangular prism is a three-dimensional shape with six faces. All the faces (top, bottom, and lateral faces) of the prism are rectangular so that all the pairs of opposite faces are congruent. It is also known as a cuboid. In short, a rectangular prism has four rectangular faces and two parallel rectangular bases.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>How is a rectangular prism different from a rectangle?&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To begin with, why is it important to know the difference between different types of shapes?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Every shape has distinct properties and these properties help to know quantities such as volume, surface area, etc. Remember, you would not know to not put a rectangle on top of a triangle if you don\u2019t know how they are different.&nbsp;<\/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\/count-objects-in-rectangular-arrays\" 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\/count_comp_hoppys_list_10_gm.png\" alt=\"Count Objects in Rectangular Arrays 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\">Count Objects in Rectangular Arrays 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-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\/introduction-to-volume\" 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_1_pt.png\" alt=\"Introduction to Volume 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\">Introduction to Volume 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\/iterate-and-find-the-total-volume\" 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_2_pt.png\" alt=\"Iterate and Find the Total Volume 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\">Iterate and Find the Total Volume 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\/solve-the-word-problems-related-to-volume\" 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_word_prob_pt.png\" alt=\"Solve the Word Problems Related to Volume 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\">Solve the Word Problems Related to Volume 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\/use-the-3d-shapes-to-estimate-the-volume\" 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_2_pt.png\" alt=\"Use the 3D Shapes to Estimate the Volume 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\">Use the 3D Shapes to Estimate the Volume 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                    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     checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-difference-between-rectangle-amp-rectangular-prism\">Difference Between Rectangle &amp; Rectangular Prism<\/h2>\n\n\n\n<figure class=\"wp-block-table is-style-regular eplus-wrapper\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Rectangle<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Rectangular Prism\u00a0<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">It is a 2D shape.<\/td><td class=\"has-text-align-left\" data-align=\"left\">It is a 3D shape.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">It has four sides.<\/td><td class=\"has-text-align-left\" data-align=\"left\">It has six faces, eight verticals &amp; twelve edges.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">It is made of four sides with the opposite sides having equal lengths.<\/td><td class=\"has-text-align-left\" data-align=\"left\">It is made up of six rectangles put together.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">It has width and length.<\/td><td class=\"has-text-align-left\" data-align=\"left\">It has width, height and length.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">It is made of two pairs of lines.<\/td><td class=\"has-text-align-left\" data-align=\"left\">It is made of three pairs of rectangles.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now that we know what rectangular prisms are, let\u2019s look at how we can calculate its volume.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-the-formula-for-volume-of-a-rectangular-prism\">The Formula for Volume of a Rectangular Prism<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">By multiplying the base area of a prism by its height, you will get the volume of a prism. That is to say, the volume of a prism = base area \u00d7 height.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since a rectangular prism&#8217;s base is a rectangle itself, the volume of a rectangular prism, by applying the formula given above, will be:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Volume of a rectangular prism (V) = l<\/strong><strong> <\/strong><strong>\u00d7 w<\/strong><strong> <\/strong><strong>\u00d7 h<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Where,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&#8220;l&#8221; means the base length, and<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&#8220;w&#8221; means the base width,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&#8220;h&#8221; means the height<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-style-default eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"238\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/volume-of-a-rectangular-prism-lwh.png\" alt=\"Volume of a Rectangular Prism = lwh\" class=\"wp-image-41002\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/volume-of-a-rectangular-prism-lwh.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/volume-of-a-rectangular-prism-lwh-300x105.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1: Find out the volume of a rectangular prism with base length 9 inches, base width 6 inches, and height 18 inches, respectively.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Length (l) = 9 inches<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Width (b) = 6 inches<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Height (h) = 18 inches<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, the volume of the given rectangular prism = l \u00d7 w \u00d7 h = 9 \u00d7 6 \u00d7 18 = 972 cubic inches.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2: Find out the height of a rectangular prism whose base area is 20 sq. units and a volume is 60 cubic units.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Given is the base area of the rectangular prism = 20 sq. units<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">And the volume of the rectangular prism = 60 cubic units<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, applying the volume of the rectangular prism formula,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">base area \u00d7 height = 60 cubic units.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u21d2 20 \u00d7 height = 60<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u21d2 height = 60 \u00f7 20 units<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u21d2 height = 3 units&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 3: Find out the base area of a rectangular prism with the help of the given measurements: length = 12 inches, height = 20 inches, and volume = 2,160 cubic inches.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Length (l) = 12 inches<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Height (h) = 20 inches<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Volume (V) = 2,160 cubic inches<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of the rectangular prism = l \u00d7 w \u00d7 h&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u21d2 2,160 = 12 \u00d7 w \u00d7 20&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u21d2 2,160 \u00f7 (12 \u00d7 20) = w<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u21d2 9 = w<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore, width (w) = 9 inches.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Area = l \u00d7 w = 12 \u00d7 9 = 108 sq. inches.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of a rectangular prism is an important concept for 5th graders to learn. As we have already discussed, the volume of a rectangular prism is the product of its dimensions, i.e., length, width, and height. This can be better understood with practical examples. Using SplashLearn, students can practice each example with online interactive worksheets. This game-based learning app makes learning fun and keeps your child engaged.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Every game on SplashLearn is curriculum-based and scientifically designed. To boost your kid&#8217;s knowledge in mathematics and allow them to practice mathematics fearlessly, you can sign up to <a href=\"https:\/\/www.splashlearn.com\/features\/parents\">SplashLearn<\/a> for free!<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Volume of Rectangular Prism<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Choose the correct formula to determine the volume of a rectangular prism?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">V = Base area \u2013 height<\/div><div class=\"spq_answer_block\" data-value=\"1\">V = Base area + height<\/div><div class=\"spq_answer_block\" data-value=\"2\">V = Base area \u00d7 height<\/div><div class=\"spq_answer_block\" data-value=\"3\">V = Base area \/ height<\/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: V = Base area \u00d7 height<br\/>This essentially means the area of a rectangular prism is length \u00d7 breadth \u00d7 height as the base of the rectangular prism is a rectangle.<\/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\">Find out the base area of a rectangular prism whose height is 7 inches and volume is 343 cubic inches.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">7 sq. inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">2,401 sq. inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">49 sq. inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">21 sq. 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: 49 sq. inches<br\/>Base area of rectangular prism = Volume \u00f7 Height = 343 \u00f7 7 = 49 sq. inches<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Find out the volume of a rectangular prism whose base area is 35 cm and height is 10 cm.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">345 cubic cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">350 cubic cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">354 cubic cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">360 cubic 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: 350 cubic cm<br\/>Volume of rectangular prism = base area \u00d7 height = (35 \u00d7 10) = 350 cubic 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 Rectangular Prism\",        \n        \"about\": 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                        \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"V = Base area \u2013 height\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"This essentially means the area of a rectangular prism is length \u00d7 breadth \u00d7 height as the base of the rectangular prism is a rectangle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"V = Base area + height\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"This essentially means the area of a rectangular prism is length \u00d7 breadth \u00d7 height as the base of the rectangular prism is a rectangle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"V = Base area \/ height\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"This essentially means the area of a rectangular prism is length \u00d7 breadth \u00d7 height as the base of the rectangular prism is a rectangle.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"V = Base area \u00d7 height\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"This essentially means the area of a rectangular prism is length \u00d7 breadth \u00d7 height as the base of the rectangular prism is a rectangle.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"This essentially means the area of a rectangular prism is length \u00d7 breadth \u00d7 height as the base of the rectangular prism is a rectangle.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find out the base area of a rectangular prism whose height is 7 inches and volume is 343 cubic inches.\",\n                    \"text\": \"Find out the base area of a rectangular prism whose height is 7 inches and volume is 343 cubic inches.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Base area of rectangular prism = Volume \u00f7 Height = 343 \u00f7 7 = 49 sq. inches\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7 sq. inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Base area of rectangular prism = Volume \u00f7 Height = 343 \u00f7 7 = 49 sq. inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2,401 sq. inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Base area of rectangular prism = Volume \u00f7 Height = 343 \u00f7 7 = 49 sq. inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"21 sq. inches\",\n                                \"comment\": {\n                                    \"@type\": 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},{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find out the volume of a rectangular prism whose base area is 35 cm and height is 10 cm.\",\n                    \"text\": \"Find out the volume of a rectangular prism whose base area is 35 cm and height is 10 cm.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Volume of rectangular prism = base area \u00d7 height = (35 \u00d7 10) = 350 cubic cm\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"345 cubic cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of rectangular prism = base area \u00d7 height = (35 \u00d7 10) = 350 cubic cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"354 cubic cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of rectangular prism = base area \u00d7 height = (35 \u00d7 10) = 350 cubic cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"360 cubic cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of rectangular prism = base area \u00d7 height = (35 \u00d7 10) = 350 cubic cm\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"350 cubic cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Volume of rectangular prism = base area \u00d7 height = (35 \u00d7 10) = 350 cubic cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Volume of rectangular prism = base area \u00d7 height = (35 \u00d7 10) = 350 cubic cm\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-6f26f0e3-31b1-450d-9cf5-e48891432073\" 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-0-6f26f0e3-31b1-450d-9cf5-e48891432073\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6f26f0e3-31b1-450d-9cf5-e48891432073\"><strong>What is another name for a rectangular prism?<\/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-0-6f26f0e3-31b1-450d-9cf5-e48891432073\">\n\n<p class=\"wp-block-paragraph\">A rectangular prism is also known as a cuboid.<\/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-1-6f26f0e3-31b1-450d-9cf5-e48891432073\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6f26f0e3-31b1-450d-9cf5-e48891432073\"><strong>Is the volume of a rectangular prism the same as 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-1-6f26f0e3-31b1-450d-9cf5-e48891432073\">\n\n<p class=\"wp-block-paragraph\">Yes, the volume of a rectangular prism is the same as the volume of a cuboid.<\/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-2-6f26f0e3-31b1-450d-9cf5-e48891432073\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6f26f0e3-31b1-450d-9cf5-e48891432073\"><strong>What is an oblique rectangular prism?<\/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-2-6f26f0e3-31b1-450d-9cf5-e48891432073\">\n\n<p class=\"wp-block-paragraph\">An oblique rectangular prism is a prism with six rectangular faces, but the lateral faces are not&nbsp;perpendicular to the bases.<\/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-3-6f26f0e3-31b1-450d-9cf5-e48891432073\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6f26f0e3-31b1-450d-9cf5-e48891432073\"><strong>What is the surface area of a rectangular prism?<\/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-3-6f26f0e3-31b1-450d-9cf5-e48891432073\">\n\n<p class=\"wp-block-paragraph\">The surface area of a rectangular prism is the sum of the area of each of its faces. It is given by the formula, 2(lw + wh + hl), where l is length, w is width, and h is the height of the rectangular prism.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>You see it in boxes as you grab a tissue or pop open your box of cereal. You see it in books as you remove your bookmarks to begin reading. You see it in laptops as you finish typing your latest assignment.&nbsp; Yes, we are talking about the rectangular prism. What Is a Rectangular Prism? &#8230; <a title=\"Volume of a Rectangular Prism &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-rectangular-prism\" aria-label=\"More on Volume of a Rectangular Prism &#8211; Definition with 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-4276","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\/4276","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=4276"}],"version-history":[{"count":17,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/4276\/revisions"}],"predecessor-version":[{"id":41005,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/4276\/revisions\/41005"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=4276"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=4276"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=4276"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}