Chapter 6

Volume of a Solid

Find out how much space a box or a cube takes up using cubic units.

What is volume?

Volume is the amount of space a solid object takes up. We measure it in cubic units such as cm³ or m³. Think of how many small 1 cm cubes would fit inside the object to fill it completely. The more cubes that fit, the larger the volume.

Key idea / Formula

Volume of a cuboid = length × width × height. Volume of a cube = side × side × side.

Working it out

For a box shape (cuboid) we multiply the three measurements together. A cube is a special cuboid where all sides are equal.

Worked example

A box is 4 cm long, 3 cm wide and 2 cm high.
Volume = 4 × 3 × 2 = 24 cm³.
A cube with a side of 3 cm has a volume of 3 × 3 × 3 = 27 cm³.

Remember

  • Volume uses cubic units: cm³ or m³.
  • Multiply length × width × height, not add.
  • A cube has all three measurements the same.

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