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Calculating the volume of cubes and cuboids

Calculating the volume of cubes and cuboids

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Summary

Calculating the volume of cubes and cuboids

In a nutshell

The volume of a cube and cuboid can be calculated and compared. The volume can be measured in different units.



Cube

A cube is a 3D shape where all the faces are squares and the sides have the same length. 

To work out the volume of a cube, find the length of one side then multiply it by itself twice. You can use the following formula to find the volume of a cube:


V=x3V=x^3​​
VV​​
The Volume of the cube.
xx​​
The length of a cube.


Example 1

Find the area of the cube.

Maths; Measurement; KS2 Year 6; Calculating the volume of cubes and cuboids


The length of one side is 2cm2cm. Insert this value into the formula to work out the volume.​

Volume=x3Volume=23Volume=8cm3Volume = x^3 \\Volume = 2^3 \\\underline{Volume = 8cm^3}​​



Cuboid​

A cuboid is a 3D shape where all the faces are rectangles and the parallel sides have the same length. The volume of a cuboid can be found using the following formula:


V=l×w×hV=l \times w \times h​​
VV​​
The Volume of the cuboid.
ll​​
The length of the cuboid.
ww​​
The width of the cuboid.
hh​​
The height of the cuboid.


Example 2

Find the volume of the cuboid.

Maths; Measurement; KS2 Year 6; Calculating the volume of cubes and cuboids

height=2cm, width=3cm, length=4cmheight = 2cm, \ width = 3cm, \ length = 4cm


Substitute the values for height, width and length into the formula.

Volume=l×w×hVolume=4×3×2Volume=24cm3Volume = l \times w \times h \\Volume = 4 \times 3 \times 2 \\\underline{Volume = 24cm^3}​​



Units

The following units can be used to measure volume: cm3 and m3cm^3 \space \text{and} \space m^3 for solids and ml and lml\ \text{and}\ l for liquids.​


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FAQs - Frequently Asked Questions

What units can be used to measure the volume of a liquid?

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