{"id":7618,"date":"2021-10-28T23:13:42","date_gmt":"2021-10-28T17:43:42","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7618"},"modified":"2022-01-16T17:09:17","modified_gmt":"2022-01-16T11:39:17","slug":"formula-for-volume-of-cuboid","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/formula-for-volume-of-cuboid\/","title":{"rendered":"Formula for Volume of Cuboid – Derivation and Examples"},"content":{"rendered":"

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

Let’s begin –<\/p>\n

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

suppose, the length of cuboid is l, breadth of cuboid is b and height of cuboid is h. Then<\/p>\n

\n

Volume of Cuboid = l \\(\\times\\) b \\(\\times\\) h<\/p>\n<\/blockquote>\n

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

Derivation :<\/h3>\n

Let the area of each rectangle is A, the height up to which the rectangles are stacked is <\/span>h <\/span>and the volume of the cuboid is V.<\/span><\/p>\n

The relationship between the volume and area is given by the formula,<\/p>\n

V = A \\(\\times\\) h<\/p>\n

\\(\\implies\\) V = l \\(\\times\\) b \\(\\times\\) h<\/p>\n

where l is the length and b is the breadth of rectangle. So, its area is l \\(\\times\\) b.<\/p>\n

Example<\/span><\/strong> : A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of wall is 24 cm. If this wall is to be built up with <\/span>bricks whose dimensions are 24 cm \u00d7 12 cm \u00d7 8 cm, how many bricks would be required?<\/span>\u00a0<\/p>\n

Solution<\/span><\/strong> : Since the wall with all the bricks makes up the space occupied by it, we need to find the volume of the wall, which is nothing but a cuboid.<\/span><\/p>\n

Here, Length of Cuboid = 10 m = 1000 cm<\/span><\/p>\n

Thickness(breadth) = 24 cm<\/span><\/p>\n

Height = 4 m = 400 cm<\/span><\/p>\n

Therefore, Volume of the wall(Cuboid) = length \u00d7 thickness \u00d7 height<\/span><\/p>\n

= 1000 \u00d7 24 \u00d7 400 \\(cm^3\\)<\/span><\/p>\n

Now, each brick is a cuboid of length = 24 cm, breadth = 12 cm and height = 8 cm<\/span><\/p>\n

So, volume of each brick = length \u00d7 breadth \u00d7 height <\/span>= 24 \u00d7 12 \u00d7 8 \\(cm^3\\)<\/span><\/p>\n

So, number of bricks required = volume of the wall\/volume of each brick<\/span><\/p>\n

= \\(1000 \u00d7 24 \u00d7 400\\over 24 \u00d7 12 \u00d7 8\\) = 4166.6<\/span><\/p>\n

So, the wall requires 4167 bricks.<\/span>\u00a0<\/p>\n\n\n

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

Here you will learn what is the formula for volume of cuboid, its derivation and examples. Let’s begin – Formula for Volume of Cuboid suppose, the length of cuboid is l, breadth of cuboid is b and height of cuboid is h. Then Volume of Cuboid = l \\(\\times\\) b \\(\\times\\) h Also Read : …<\/p>\n

Formula for Volume of Cuboid – 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":[674,673],"yoast_head":"\nFormula for Volume of Cuboid - Derivation and Examples<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the formula for volume of cuboid, its derivation and examples.\" \/>\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-cuboid\/\" \/>\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 Cuboid - 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