{"id":7628,"date":"2021-10-28T23:44:36","date_gmt":"2021-10-28T18:14:36","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7628"},"modified":"2022-01-16T17:09:25","modified_gmt":"2022-01-16T11:39:25","slug":"formula-for-volume-of-cube","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/formula-for-volume-of-cube\/","title":{"rendered":"Formula for Volume of Cube – Derivation and Examples"},"content":{"rendered":"

Here you will learn what is the formula for volume of cube, its derivation and examples based on it.<\/p>\n

Let’s begin – <\/p>\n

Formula for Volume of Cube<\/h2>\n

Let the side or edge of the cube be a,<\/p>\n

\n

Then the Volume of Cube = side \\(\\times\\) side \\(\\times\\) side = \\(a^3\\)<\/p>\n<\/blockquote>\n

Also Read<\/strong> : Formula for Surface Area of Cube \u2013 Derivation & Examples<\/a><\/p>\n

Derivation :<\/h3>\n

Since a cuboid, whose length, breadth and the height are all equal, is called a <\/span>cube<\/span>. <\/span><\/p>\n

If each edge or side of the cube is s<\/span>, then the Volume of cube<\/strong> would be (s<\/span> <\/span>\u00d7 s<\/span> <\/span>\u00d7 s<\/span>), i.e., \\(s^3\\).<\/span><\/p>\n

So, if a cube has side of 12 cm,<\/span><\/p>\n

then volume of cube = 12 \u00d7 12 \u00d7 12 \\(cm^3\\)<\/span><\/p>\n

= 1728 \\(cm^3\\)<\/span><\/p>\n

Note<\/strong> : If an object is solid, then space occupied by such an object is measured, and is termed as the <\/span>Volume <\/span>of the object. On the other hand, if the object is hollow, then interior of the object is empty, and can be filled with air, or some liquid that will take the shape of its container.<\/span><\/p>\n

Example<\/span><\/strong> : A child playing with building blocks, which are of the shape of cubes has built a structure with 15 cubes. If the edge of each cube is 3 cm, find the volume of the structure built by the child.<\/span> <\/p>\n

Solution<\/strong><\/span> : Here, edge or side = 3cm<\/p>\n

Volume of each cube = side \u00d7 side \u00d7 side<\/span><\/p>\n

= 3 \\(\\times\\) 3 \\(\\times\\) 3 \\(cm^3\\)<\/span> <\/span>= 27 \\(cm^3\\)<\/span><\/p>\n

Number of cubes in structure = 15<\/span><\/p>\n

Therefore, volume of the structure = 27 \\(\\times\\) 15 \\(cm^3\\)<\/span><\/p>\n

= 405 \\(cm^3\\)<\/span><\/p>\n\n\n

\n
Next – Formula for Surface Area of cylinder<\/a><\/div>\n<\/div>\n\n\n\n
\n
Previous – Formula for Volume of Cuboid<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Here you will learn what is the formula for volume of cube, its derivation and examples based on it. Let’s begin –  Formula for Volume of Cube Let the side or edge of the cube be a, Then the Volume of Cube = side \\(\\times\\) side \\(\\times\\) side = \\(a^3\\) Also Read : Formula for …<\/p>\n

Formula for Volume of Cube – Derivation and Examples<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[63],"tags":[672],"yoast_head":"\nFormula for Volume of Cube - Derivation and Examples<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the formula for volume of cube, its derivation and examples based on it.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/formula-for-volume-of-cube\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Formula for Volume of Cube - 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