{"id":31433,"date":"2023-07-04T16:28:00","date_gmt":"2023-07-04T16:28:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=31433"},"modified":"2024-02-05T16:06:29","modified_gmt":"2024-02-05T16:06:29","slug":"volume-of-cuboid-definition-formula-derivation-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-cuboid","title":{"rendered":"Volume of Cuboid &#8211; Definition, Formula, Derivation, Examples, FAQs"},"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-9a587141-90e5-4b30-9ca9-c6a3ec05d34c\" 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-cuboid#0-what-is-the-volume-of-a-cuboid>What Is the Volume of a Cuboid?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-cuboid#1-volume-of-a-cuboid-formula>Volume of a Cuboid Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-cuboid#2-how-to-calculate-the-volume-of-a-cuboid>How to Calculate the Volume of a Cuboid<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-cuboid#8-solved-examples-of-volume-of-a-cuboid>Solved Examples of Volume of a Cuboid<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-cuboid#9-practice-problems-for-volume-of-a-cuboid>Practice Problems for Volume of a Cuboid<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-cuboid#10-frequently-asked-questions-about-volume-of-cuboid>Frequently Asked Questions about Volume of Cuboid<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-volume-of-a-cuboid\">What Is the Volume of a Cuboid?<\/h2>\n\n\n\n<p><strong>The volume of a cuboid is the amount of space occupied by the cuboid. It is calculated by multiplying the length, width, and height of the cuboid.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"333\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/cuboid-dimensions.png\" alt=\"Dimensions of a cuboid\" class=\"wp-image-31437\" title=\"Dimensions of a cuboid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/cuboid-dimensions.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/cuboid-dimensions-300x161.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>In <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/geometry\">geometry<\/a>, a cuboid is a geometric solid with 6 faces, 12 edges, and 8 vertices.. The opposite faces of every cuboid are equal.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"493\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/faces-of-cuboid.png\" alt=\"Faces, edges, and vertices of a cuboid\" class=\"wp-image-31438\" title=\"Faces, edges, and vertices of a cuboid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/faces-of-cuboid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/faces-of-cuboid-300x239.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>What do you mean by the volume of a cuboid?<\/strong><em> <\/em>Just like area denotes the space occupied by an object on a 2D plane, the volume represents the space occupied by a solid in the 3D space. A cuboid is a three-dimensional solid. The total 3D space occupied by a cuboid is its volume.<\/p>\n\n\n\n<p>A common real-life example of the volume of a cuboid is the amount of water that completely fills a cuboid-shaped aquarium.<\/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\/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                    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\" id=\"1-volume-of-a-cuboid-formula\">Volume of a Cuboid Formula<\/h2>\n\n\n\n<p>The volume of cuboid is a product of its length, breadth, and height.&nbsp;<\/p>\n\n\n\n<p>The volume of a cuboid formula is written as<\/p>\n\n\n\n<p><strong>Volume of a cuboid <\/strong>$=$<strong> length <\/strong>$\u00d7$<strong> breadth <\/strong>$\u00d7$<strong> height<\/strong><\/p>\n\n\n\n<p><strong>Volume of a cuboid <\/strong>$= l \\times b \\times h$&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p>Volume is measured in cubic units.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"433\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/Volume-of-cuboid-formula.png\" alt=\"Volume of a cuboid formula\" class=\"wp-image-31439\" title=\"Volume of a cuboid formula\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/Volume-of-cuboid-formula.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/Volume-of-cuboid-formula-300x210.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-how-to-calculate-the-volume-of-a-cuboid\">How to Calculate the Volume of a Cuboid<\/h2>\n\n\n\n<p><strong>Step 1:<\/strong> Note down the dimensions of the given cuboid as $l = length,\\; b = breadth,$ and $h = height$.&nbsp;<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Check whether they are all in the same unit or not. If we come across length, breadth, or height in different units, convert them into the same unit.&nbsp;<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Substitute the values l, b, and h in the volume formula $V = l \\times b \\times h$.&nbsp;<\/p>\n\n\n\n<p>The resultant value will be the volume of a cuboid. It will be written with cubic units.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-volume-of-a-cuboid-prism\">Volume of a Cuboid Prism<\/h2>\n\n\n\n<p>Cuboid prism or <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangular-prism\">rectangular prism<\/a> are just other names for a cuboid. A cuboid prism has a rectangular cross-section. It is called a right prism when the angles between its sides (lateral faces) and the base are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\">right angles<\/a>. Its top surface and the corresponding bottom will be identical.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"476\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/rectangular-prism.png\" alt=\"A rectangular prism\/cuboid prism\/cuboid\" class=\"wp-image-31440\" title=\"A rectangular prism\/cuboid prism\/cuboid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/rectangular-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/rectangular-prism-300x230.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Therefore, using the same volume of cuboid formula, we can calculate the volume of a cuboid prism:<\/p>\n\n\n\n<p><strong>Volume of a cuboid prism <\/strong>$= l \\times b \\times h$<strong> &nbsp; (cubic units)<\/strong><\/p>\n\n\n\n<p>If $l = b = h$, a cuboid becomes a cube. Its volume is given by $(side)^{3}$.<\/p>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-cube\">Volume of cube<\/a> and cuboid are both expressed in $unit^{3}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-derivation-of-the-volume-of-a-cuboid\">Derivation of the Volume of a Cuboid<\/h2>\n\n\n\n<p>Interestingly, we can also calculate the volume of cuboid if we know its base area and height. Suppose the area of the cuboid\u2019s rectangular face is A and the height of the cuboid is \u201ch.\u201d&nbsp;<\/p>\n\n\n\n<p>Since volume is the space occupied, the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/expression\">mathematical expression<\/a> will be as follows&nbsp;<\/p>\n\n\n\n<p>Volume of a rectangular prism $=$ Base area $\\times$ Height<\/p>\n\n\n\n<p>$V = A \\times h$ &#8212;&#8212;&#8212;&#8212;&#8212; (i)<\/p>\n\n\n\n<p>As we know that the area of a rectangular surface can be calculated using the following formula:<\/p>\n\n\n\n<p>$Area = length \\times breadth$&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p>$A = l \\times b$ &#8212;&#8212;&#8212;&#8212;&#8212;- (ii)<\/p>\n\n\n\n<p>Substituting equation (ii) in equation (i), we get the following:<\/p>\n\n\n\n<p>$V = A  \\times h$<\/p>\n\n\n\n<p>$V = (l \\times b) \\times h$<\/p>\n\n\n\n<p>Thus, we get the formula of a cuboid as follows:<\/p>\n\n\n\n<p>$V = l \\times b \\times h$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-volume-of-cuboid-using-unit-cubes\">Volume of Cuboid Using Unit Cubes<\/h2>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/unit-cube\">unit cube<\/a> is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/cube\">cube<\/a> whose each side is 1 unit. The volume of a cuboid can also be defined as the number of unit cubes that fit perfectly into the cuboid.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"413\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/cuboid-voolume-with-unit-cubes.png\" alt=\"A cuboid composed of 8 unit cubes\" class=\"wp-image-31441\" title=\"A cuboid composed of 8 unit cubes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/cuboid-voolume-with-unit-cubes.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/cuboid-voolume-with-unit-cubes-300x200.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>You can see that 8 unit cubes perfectly fit into the given cuboid.<\/p>\n\n\n\n<p>Thus, volume of cuboid $= 8$ cubic units<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-volume-of-cuboid\">Facts about Volume of Cuboid<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Cuboid is also known as a rectangular prism, rectangular box, rectangular parallelepiped, or a rectangular brick!<\/li>\n\n\n\n<li>Total Surface Area of Cuboid $= 2(lb + bh + hl)$<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned how to find the volume of a cuboid, its formula, derivation, and examples. Now, we will solve a few examples and practice problems for revision.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-of-volume-of-a-cuboid\">Solved Examples of Volume of a Cuboid<\/h2>\n\n\n\n<p><strong>1. What is the volume of the given cuboid?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"152\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/cuboid-problem.png\" alt=\"Cuboid with dimensions 6 inches, 4 inches, and 2 inches\" class=\"wp-image-31442\" title=\"Cuboid with dimensions 6 inches, 4 inches, and 2 inches\"\/><\/figure>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>$l = 6$ inches<\/p>\n\n\n\n<p>$b = 2$ inches<\/p>\n\n\n\n<p>$h = 4$ inches<\/p>\n\n\n\n<p>Volume of cuboid $= l \\times b \\times h$<\/p>\n\n\n\n<p>Volume of cuboid $= 6 \\times 4 \\times 2$<\/p>\n\n\n\n<p>Volume of cuboid $= 48\\; inches^{3}$<\/p>\n\n\n\n<p><strong>2. The dimensions of the cuboid-shaped aquarium are: <\/strong>$h = 5$<strong> inches, <\/strong>$l = 10$<strong> inches, and <\/strong>$b = 8$<strong> inches. What is the volume of the cuboid?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"172\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/cuboid-shaped-tank.png\" alt=\"Cuboidal aquarium\" class=\"wp-image-31443\" title=\"Cuboidal aquarium\"\/><\/figure>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>$l = 10$ inches<\/p>\n\n\n\n<p>$b = 8$ inches<\/p>\n\n\n\n<p>$h = 5$ inches<\/p>\n\n\n\n<p>Volume of cuboid $= l \\times b \\times h$<\/p>\n\n\n\n<p>Volume of cuboid $= 10 \\times 8 \\times 5$<\/p>\n\n\n\n<p>Volume of cuboid $= 400\\; inches^{3}$<\/p>\n\n\n\n<p><strong>3.<\/strong> <strong>Find the length of the cuboid, if its volume is <\/strong>$24\\; inches^{3}$<strong>. Given: breadth <\/strong>$= 6$<strong> inches and height <\/strong>$= 2$<strong> inches.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Let the length of the cuboid be l.<\/p>\n\n\n\n<p>Volume of cuboid $= l \\times b \\times h$<\/p>\n\n\n\n<p>$24 = l \\times 6 \\times 2$<\/p>\n\n\n\n<p>$24 = l \\times 12$<\/p>\n\n\n\n<p>$2412 = l$<\/p>\n\n\n\n<p>$l = 2$ in<\/p>\n\n\n\n<p>Therefore, the length of the cuboid is 2 inches.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-for-volume-of-a-cuboid\">Practice Problems for Volume of a Cuboid<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Volume of Cuboid - Definition, Formula, Derivation, Examples, FAQs<\/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\">What is the volume of the given cuboid?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/cuboid-example.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$50\\; feet^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$100\\; feet^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$70\\; feet^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$20\\; feet^{3}$<\/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: $100\\; feet^{3}$<br\/>Using the volume of cuboid formula, we will find the product of 10, 5, and 2 feet.<br> \r\n$V = l \\times b \\times h = 10 \\times 2 \\times 5 = 100 feet^{3}$.<\/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\">A cuboid-shaped swimming pool is 20 feet long, 10 feet deep, and 8 feet wide. What is the volume of the swimming pool?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$1600\\; feet^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$600\\; feet^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$800\\; feet^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$1000\\; feet^{3}$<\/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: $1600\\; feet^{3}$<br\/>Using the volume of cuboid formula, we will find the product of 20, 10, and 8 feet.<br>\r\n$V = l \\times b \\times h = 20 \\times 10 \\times 8 = 1600\\; feet^{3}$.<\/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\">The formula to find the volume of a cuboid with length l, breadth b, and height h is ___<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{1}{2} \\times l \\times b \\times h$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$lb + bh + lh$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$l \\times b \\times h$<\/div><div class=\"spq_answer_block\" data-value=\"3\">hl<\/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: $l \\times b \\times h$<br\/>The volume of the cuboid formula is $l \\times b \\times h$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">What is the volume of the given rectangular prism?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/cuboid.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$80\\; feet^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$10\\; feet^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$70\\; feet^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$16\\; feet^{3}$<\/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: $80\\; feet^{3}$<br\/>Using the volume of cuboid formula, we will find the product of 8, 2, and 5 feet.<br>\r\n$V = l \\times b \\times h = 8 \\times 2 \\times 5 = 80\\; feet^{3}$.<\/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 Cuboid - Definition, Formula, Derivation, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Volume of Cuboid\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the volume of the given cuboid?\",\n                    \"text\": \"What is the volume of the given cuboid? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/cuboid-example.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Using the volume of cuboid formula, we will find the product of 10, 5, and 2 feet.<br> \r\n$$V = l \\\\times b \\\\times h = 10 \\\\times 2 \\\\times 5 = 100 feet^{3}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$50\\\\; feet^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the volume of cuboid formula, we will find the product of 10, 5, and 2 feet.<br> \r\n$$V = l \\\\times b \\\\times h = 10 \\\\times 2 \\\\times 5 = 100 feet^{3}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$70\\\\; feet^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the volume of cuboid formula, we will find the product of 10, 5, and 2 feet.<br> \r\n$$V = l \\\\times b \\\\times h = 10 \\\\times 2 \\\\times 5 = 100 feet^{3}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$20\\\\; feet^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the volume of cuboid formula, we will find the product of 10, 5, and 2 feet.<br> \r\n$$V = l \\\\times b \\\\times h = 10 \\\\times 2 \\\\times 5 = 100 feet^{3}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$100\\\\; feet^{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Using the volume of cuboid formula, we will find the product of 10, 5, and 2 feet.<br> \r\n$$V = l \\\\times b \\\\times h = 10 \\\\times 2 \\\\times 5 = 100 feet^{3}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Using the volume of cuboid formula, we will find the product of 10, 5, and 2 feet.<br> \r\n$$V = l \\\\times b \\\\times h = 10 \\\\times 2 \\\\times 5 = 100 feet^{3}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A cuboid-shaped swimming pool is 20 feet long, 10 feet deep, and 8 feet wide. What is the volume of the swimming pool?\",\n                    \"text\": \"A cuboid-shaped swimming pool is 20 feet long, 10 feet deep, and 8 feet wide. What is the volume of the swimming pool?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Using the volume of cuboid formula, we will find the product of 20, 10, and 8 feet.<br>\r\n$$V = l \\\\times b \\\\times h = 20 \\\\times 10 \\\\times 8 = 1600\\\\; feet^{3}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$600\\\\; feet^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the volume of cuboid formula, we will find the product of 20, 10, and 8 feet.<br>\r\n$$V = l \\\\times b \\\\times h = 20 \\\\times 10 \\\\times 8 = 1600\\\\; feet^{3}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$800\\\\; feet^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the volume of cuboid formula, we will find the product of 20, 10, and 8 feet.<br>\r\n$$V = l \\\\times b \\\\times h = 20 \\\\times 10 \\\\times 8 = 1600\\\\; feet^{3}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1000\\\\; feet^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the volume of cuboid formula, we will find the product of 20, 10, and 8 feet.<br>\r\n$$V = l \\\\times b \\\\times h = 20 \\\\times 10 \\\\times 8 = 1600\\\\; feet^{3}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$1600\\\\; feet^{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Using the volume of cuboid formula, we will find the product of 20, 10, and 8 feet.<br>\r\n$$V = l \\\\times b \\\\times h = 20 \\\\times 10 \\\\times 8 = 1600\\\\; feet^{3}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Using the volume of cuboid formula, we will find the product of 20, 10, and 8 feet.<br>\r\n$$V = l \\\\times b \\\\times h = 20 \\\\times 10 \\\\times 8 = 1600\\\\; feet^{3}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The formula to find the volume of a cuboid with length l, breadth b, and height h is ___\",\n                    \"text\": \"The formula to find the volume of a cuboid with length l, breadth b, and height h is ___\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The volume of the cuboid formula is $$l \\\\times b \\\\times h$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{2} \\\\times l \\\\times b \\\\times h$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The volume of the cuboid formula is $$l \\\\times b \\\\times h$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$lb + bh + lh$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The volume of the cuboid formula is $$l \\\\times b \\\\times h$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"hl\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The volume of the cuboid formula is $$l \\\\times b \\\\times h$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$l \\\\times b \\\\times h$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The volume of the cuboid formula is $$l \\\\times b \\\\times h$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The volume of the cuboid formula is $$l \\\\times b \\\\times h$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the volume of the given rectangular prism?\",\n                    \"text\": \"What is the volume of the given rectangular prism? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/cuboid.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Using the volume of cuboid formula, we will find the product of 8, 2, and 5 feet.<br>\r\n$$V = l \\\\times b \\\\times h = 8 \\\\times 2 \\\\times 5 = 80\\\\; feet^{3}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$10\\\\; feet^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the volume of cuboid formula, we will find the product of 8, 2, and 5 feet.<br>\r\n$$V = l \\\\times b \\\\times h = 8 \\\\times 2 \\\\times 5 = 80\\\\; feet^{3}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$70\\\\; feet^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the volume of cuboid formula, we will find the product of 8, 2, and 5 feet.<br>\r\n$$V = l \\\\times b \\\\times h = 8 \\\\times 2 \\\\times 5 = 80\\\\; feet^{3}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$16\\\\; feet^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the volume of cuboid formula, we will find the product of 8, 2, and 5 feet.<br>\r\n$$V = l \\\\times b \\\\times h = 8 \\\\times 2 \\\\times 5 = 80\\\\; feet^{3}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$80\\\\; feet^{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Using the volume of cuboid formula, we will find the product of 8, 2, and 5 feet.<br>\r\n$$V = l \\\\times b \\\\times h = 8 \\\\times 2 \\\\times 5 = 80\\\\; feet^{3}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Using the volume of cuboid formula, we will find the product of 8, 2, and 5 feet.<br>\r\n$$V = l \\\\times b \\\\times h = 8 \\\\times 2 \\\\times 5 = 80\\\\; feet^{3}$$.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-about-volume-of-cuboid\">Frequently Asked Questions about Volume of Cuboid<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-4d3f2487-624e-4193-9018-019d97aa81e6\" 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-0-4d3f2487-624e-4193-9018-019d97aa81e6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-4d3f2487-624e-4193-9018-019d97aa81e6\"><strong>What is the volume of a cube formula?<\/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-0-4d3f2487-624e-4193-9018-019d97aa81e6\">\n\n<p>Since all sides of a cube are the same, the volume of a cube is equal to the cube of its side. Mathematically, $V = side^{3}$.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-4d3f2487-624e-4193-9018-019d97aa81e6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-4d3f2487-624e-4193-9018-019d97aa81e6\"><strong>How to convert the volume of a cuboid in <\/strong>$inch^{3}$<strong><sup> <\/sup>to <\/strong>$feet^{3}$<strong>?<\/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-1-4d3f2487-624e-4193-9018-019d97aa81e6\">\n\n<p>To convert a given volume in $inch^{3}$, we will divide the volume value by 1728 to get its $feet^{3}$ equivalent.<\/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-2-4d3f2487-624e-4193-9018-019d97aa81e6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-4d3f2487-624e-4193-9018-019d97aa81e6\"><strong>How will the volume of a cuboid change when we double the length of its side?<\/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-2-4d3f2487-624e-4193-9018-019d97aa81e6\">\n\n<p>As the volume of cuboid $= length \\times width \\times height$, we will double the length.&nbsp;<\/p>\n\n\n\n<p>So, $2l \\times b \\times h = 2$ volume.&nbsp;<\/p>\n\n\n\n<p>Thus, the volume of the cuboid will be doubled when we double the length of its side.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Volume of a Cuboid? The volume of a cuboid is the amount of space occupied by the cuboid. It is calculated by multiplying the length, width, and height of the cuboid. In geometry, a cuboid is a geometric solid with 6 faces, 12 edges, and 8 vertices.. The opposite faces of every &#8230; <a title=\"Volume of Cuboid &#8211; Definition, Formula, Derivation, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-cuboid\" aria-label=\"More on Volume of Cuboid &#8211; Definition, Formula, Derivation, Examples, FAQs\">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-31433","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\/31433","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=31433"}],"version-history":[{"count":11,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31433\/revisions"}],"predecessor-version":[{"id":39953,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31433\/revisions\/39953"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=31433"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=31433"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=31433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}