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<!DOCTYPE html>
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<!-- Mirrored from www.mathsisfun.com/cuboid.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:44:18 GMT -->
<head>
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<title>Volume of a Cuboid</title>
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<h1 class="center">Volume of a Cuboid</h1>
<p class="center"><i>A cuboid is a 3 dimensional shape.</i><i><br>
To work out the volume we need to know 3 measurements.</i><br>
</p>
<table style="border: 0; margin:auto;">
<tbody>
<tr>
<td><img src="geometry/images/cuboid-lwh.svg" alt="cuboid" style="width:218px; height:154px; min-width:218px;"></td>
<td>&nbsp;</td>
<td>
<p class="center">Look at this shape.</p>
<p class="center">There are 3 different measurements:</p>
<p class="center large">Length,&nbsp;&nbsp;&nbsp;Width,&nbsp;&nbsp;&nbsp;Height</p></td>
</tr>
</tbody></table>
<p>The volume is found using the formula:</p>
<p class="center"><span class="larger">Volume&nbsp;=&nbsp;Length&nbsp;×&nbsp;Width&nbsp;×&nbsp;</span> <span class="larger">Height</span></p>
<p>Which is usually shortened to:</p>
<p class="largest" align="center">V =&nbsp;l&nbsp;×&nbsp;w&nbsp;×&nbsp;h</p>
<p align="left">Or more simply:</p>
<p class="largest" align="center">V = lwh</p>
<h2>In Any Order</h2>
<p>It doesn't really matter which one is length, width or height, so long as you multiply all three together.</p>
<div class="example">
<h3>Example: Lengths in meters (m):</h3>
<p class="center"><img src="geometry/images/cuboid-example.svg" alt="cuboid example" style="width:206px; height:141px; min-width:206px;"></p>
<p>The volume is:</p>
<p class="center"><span class="larger">10 m × 4 m × 5 m
= <b>200</b> m<sup>3</sup></span></p>
<p>&nbsp;</p>
<p>It also works out the same like this:</p>
<p class="center"><span class="larger">4 m × 5 m × 10 m
= <b>200</b> m<sup>3</sup></span></p>
</div>
Note: the result is in
<b>m<sup>3</sup></b>
(cubic meters) because we have multiplied meters together three times.
<h2>Try It Yourself</h2>
<div class="script" style="height: 450px;">
geometry/images/volume-demo.js?mode=cub
</div>
<p>&nbsp;</p>
<div class="questions">861,862, 1946, 1947, 1948, 1949, 3370, 3371, 3372, 3373</div>
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<a href="geometry/cuboids-rectangular-prisms.html">Cuboids, Rectangular Prisms and Cubes</a>
<a href="geometry/index.html">Geometry Index</a>
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