{"id":154944,"date":"2022-03-26T00:05:47","date_gmt":"2022-03-25T18:35:47","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/volume-of-cuboid\/"},"modified":"2024-01-12T12:00:40","modified_gmt":"2024-01-12T06:30:40","slug":"volume-of-cuboid","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/","title":{"rendered":"Volume of Cuboid"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#What_is_the_volume_of_a_Cuboid\" title=\"What is the volume of a Cuboid?\">What is the volume of a Cuboid?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#Volume_of_Cuboid_Formula\" title=\"Volume of Cuboid Formula\">Volume of Cuboid Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#How_do_you_find_the_Volume_of_the_Cuboid\" title=\"How do you find the Volume of the Cuboid?\">How do you find the Volume of the Cuboid?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#How_to_Calculate_a_Cuboids_Total_Surface_Area_and_Lateral_Surface_Area\" title=\"How to Calculate a Cuboid&#8217;s Total Surface Area and Lateral Surface Area?\">How to Calculate a Cuboid&#8217;s Total Surface Area and Lateral Surface Area?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#Total_Surface_Area_of_a_Cuboid\" title=\"Total Surface Area of a Cuboid\">Total Surface Area of a Cuboid<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#Lateral_Surface_Area_of_a_Cuboid\" title=\"Lateral Surface Area of a Cuboid\">Lateral Surface Area of a Cuboid<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#How_to_Find_the_Volume_of_a_Cuboid_Prism_and_a_Cube\" title=\"How to Find the Volume of a Cuboid Prism and a Cube?\">How to Find the Volume of a Cuboid Prism and a Cube?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#Volume_of_a_Cube\" title=\"Volume of a Cube\">Volume of a Cube<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#Solved_examples_on_Volume_of_Cuboid\" title=\"Solved examples on Volume of Cuboid\">Solved examples on Volume of Cuboid<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#Practice_questions_on_the_Volume_of_the_Cuboid\" title=\"Practice questions on the Volume of the Cuboid\">Practice questions on the Volume of the Cuboid<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#FAQs_on_Volume_of_Cuboid\" title=\"FAQs on Volume of Cuboid\">FAQs on Volume of Cuboid<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#What_is_the_formula_for_the_Volume_of_the_Cuboid\" title=\"What is the formula for the Volume of the Cuboid?\">What is the formula for the Volume of the Cuboid?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#What_is_the_unit_of_volume_of_a_cuboid\" title=\"What is the unit of volume of a cuboid?\">What is the unit of volume of a cuboid?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-cuboid\/#Define_the_volume_of_a_cuboid\" title=\"Define the volume of a cuboid?\">Define the volume of a cuboid?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><strong>The volume of the cuboid<\/strong>: The <strong>volume of the cuboid <\/strong>is precisely the total space covered by the cuboid in a 3D space. Cuboid is a 3D shape. It has six blockish or rectangular faces. These six faces make three couple of parallel faces. Thus, the volume of the cuboid is measured based on the dimension of these faces, i.e. the length, breadth and height.<\/p>\n<p><strong>Volume of a Cuboid= Length * Breadth * Height<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_volume_of_a_Cuboid\"><\/span>What is the volume of a Cuboid?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The <strong>volume of a cuboid<\/strong> is precisely the total space enthralled by the cuboid in a 3D space. The conception of calculating the volume of a cuboid is abecedarian in figure. This fine conception of calculating the volume of different 3D  numbers is essential in fields similar as drugs, engineering, and armature.<\/p>\n<p>The volume of a cuboid is determined by multiplying its confines length(l),  range or breadth(w), and height(h), expressed by the formula<\/p>\n<p>V =  length \u00d7  width \u00d7 height( lwh) boxy units or units<sup>3<\/sup><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-703501\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/01\/Volume-of-Cuboid.png\" alt=\"Volume of Cuboid\" width=\"351\" height=\"173\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/01\/Volume-of-Cuboid.png 351w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/01\/Volume-of-Cuboid-300x148.png 300w\" sizes=\"(max-width: 351px) 100vw, 351px\" \/><\/p>\n<p>Also, a cuboid is occasionally called a solid cube. It&#8217;s because all the faces of a cuboid are blocks.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Volume_of_Cuboid_Formula\"><\/span>Volume of Cuboid Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The volume of a cuboid is determined by the product of its confines or dimensions. By multiplying its confines, length( l),  range( w), and height( h), we get the formula:<\/p>\n<p>V =  length \u00d7  range \u00d7 height( lwh) boxy units<\/p>\n<p>The unit of volume of cuboid is expressed in boxy units similar to metre3, centimetre3 and further.<\/p>\n<p>Consider a practical illustration with a cuboid measuring 5 units in length, 3 in range, and 2 in height.<\/p>\n<p>Applying the formula, we get the Volume of a Cuboid as<\/p>\n<p><strong>V =  length \u00d7  width \u00d7 height( lwh)  <\/strong><\/p>\n<p>V =  5 * 3 * 2 =  30 boxy units.<\/p>\n<p>Thus, the performing volume is 30 boxy units.<\/p>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/cuboid-and-cube\/\"> <button class=\"btn btn-primary\" style=\"width: 100%; cursor: pointer;\" type=\"button\">Surface Area and Volume of Cuboid and Cube<\/button> <\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_do_you_find_the_Volume_of_the_Cuboid\"><\/span>How do you find the Volume of the Cuboid?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The<strong> volume of a cuboid<\/strong> is a precise calculation of the space it takes up inside. Now, you must figure out how much sugar can easily fit inside this box. Therefore, you want to find the box&#8217;s volume for this purpose. The capacity of a box is the same as its volume. So, if you know the length, width, and height of the box, you can find the volume using this simple formula:<\/p>\n<p><strong>Volume of the box = Length x Width x Height<\/strong><\/p>\n<p>Here&#8217;s a step-by-step guide to finding the volume of any cuboid:<\/p>\n<p><strong>Step 1: <\/strong>Look at the measurements of the cuboid, which are the length, width, and height.<\/p>\n<p><strong>Step 2:<\/strong> Check if all these measurements have the same units. If not, make them the same.<\/p>\n<p><strong>Step 3: <\/strong>Once all measurements have the same units, multiply the length, width, and height together.<\/p>\n<p><strong>Step 4:<\/strong> The result you get is the volume of the cuboid, and it&#8217;s usually expressed in cubic units.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Calculate_a_Cuboids_Total_Surface_Area_and_Lateral_Surface_Area\"><\/span>How to Calculate a Cuboid&#8217;s Total Surface Area and Lateral Surface Area?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The total surface area of a cuboid is the combined area of all six of its rectangular sides. On the other hand, the lateral surface area includes only four sides, excluding the top and bottom faces. Here are the formulas for both:<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Total_Surface_Area_of_a_Cuboid\"><\/span>Total Surface Area of a Cuboid<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Total Surface Area = 2(lb + hb + lh) square units<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Lateral_Surface_Area_of_a_Cuboid\"><\/span>Lateral Surface Area of a Cuboid<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Lateral Surface Area= 2h(l + b)<\/p>\n<ul>\n<li>For total surface area, you add the areas of all six faces: length times breadth (lb), height times breadth (hb), and length times height (lh), and then multiply the sum by 2.<\/li>\n<li>For the lateral surface area, you consider only the four sides, excluding the top and bottom faces. Multiply the height (h) by the sum of length (l) and breadth (b), and then multiply the result by 2.<\/li>\n<\/ul>\n<p>These formulas help you find how much space the cuboid covers on its surfaces. Understanding these concepts is crucial before diving into the detailed discussion of the cuboid&#8217;s volume.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_the_Volume_of_a_Cuboid_Prism_and_a_Cube\"><\/span>How to Find the Volume of a Cuboid Prism and a Cube?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A cuboid prism, also known as a rectangular prism, is like a regular cuboid. It has six faces, eight vertices, and twelve edges. When its cross-section is rectangular, it is called a right prism, meaning the angle between the base and sides is at right angles. The top and bottom surfaces are identical in shape and size. Now, let&#8217;s get to finding their volumes:<\/p>\n<p><strong>Volume of a Cuboid Prism or Rectangular Prism<\/strong>:<\/p>\n<p>V = length*breadth*height  cubic units<\/p>\n<p>This formula helps calculate the amount of space the cuboid prism occupies inside.<\/p>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/difference-between-cube-and-cuboid\/\"> <button class=\"btn btn-primary\" style=\"width: 100%; cursor: pointer;\" type=\"button\">Difference between Cube and Cuboid<\/button> <\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Volume_of_a_Cube\"><\/span>Volume of a Cube<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A cube is a specific type of cuboid where all sides have equal lengths. The formula for its volume is simpler:<\/p>\n<p><strong>Volume of a cube with side &#8216;a&#8217; = a<\/strong><strong>3 <\/strong><\/p>\n<p>Here, &#8216;a&#8217; represents the length of each side.<\/p>\n<p>Understanding these formulas allows you to determine how much space is enclosed within these geometric shapes, whether it&#8217;s a general cuboid prism or a cube with equal side lengths.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Solved_examples_on_Volume_of_Cuboid\"><\/span>Solved examples on Volume of Cuboid<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Q1. Find the volume of a cuboid whose length, width and height are 10cm, 5cm and 2cm, respectively. <\/strong><\/p>\n<p><strong>Ans. T<\/strong>he volume of cuboid =  Length x Width x Height<\/p>\n<p>V = 10 * 5 * 2 = 100 cm cube<\/p>\n<p><strong>Q2. <\/strong><strong>Find the volume of a box whose length, width and height are 20, 3, and 2, respectively. And let the unit be measured in centimetres. <\/strong><\/p>\n<p><strong>Ans. <\/strong> The volume of cuboid =  Length x Width x Height<\/p>\n<p>V = 20*3*2 = 120 cm cube<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Practice_questions_on_the_Volume_of_the_Cuboid\"><\/span>Practice questions on the Volume of the Cuboid<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Q1.<\/strong> Find the volume of a shoe box whose length, width and height are 15, 12, and 5, respectively. And let the unit be measured in centimetres.<\/p>\n<p><strong>Q2.<\/strong> Find the volume of a cuboidal box whose length, width and height are 18, 6, and 3, respectively. And let the unit be measured in metres.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_Volume_of_Cuboid\"><\/span>FAQs on Volume of Cuboid<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_formula_for_the_Volume_of_the_Cuboid\"><\/span>What is the formula for the Volume of the Cuboid?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe formula of the volume of a cuboid = Length x Width x Height\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_unit_of_volume_of_a_cuboid\"><\/span>What is the unit of volume of a cuboid?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe unit of the volume of a cuboid is a cubic unit. It can be metres3, centimetres3 and more. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Define_the_volume_of_a_cuboid\"><\/span>Define the volume of a cuboid?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe volume of a cuboid is precisely the total space occupied by the cuboid in a 3D space. It is calculated by the formula Length x Width x Height. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the formula for the Volume of the Cuboid?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The formula of the volume of a cuboid = Length x Width x Height\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the unit of volume of a cuboid?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The unit of the volume of a cuboid is a cubic unit. It can be metres3, centimetres3 and more.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Define the volume of a cuboid?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The volume of a cuboid is precisely the total space occupied by the cuboid in a 3D space. It is calculated by the formula Length x Width x Height.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>The volume of the cuboid: The volume of the cuboid is precisely the total space covered by the cuboid in [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Volume of Cuboid","_yoast_wpseo_title":"Calculate Cuboid Volume: Easy Cuboid Volume Formula | Learn Geometry","_yoast_wpseo_metadesc":"Discover how to find the volume of a cuboid effortlessly using the cuboid volume formula. 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