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Converting units of area and volumeUnits of area and volume

When converting between metric units of area and volume, the numbers you have to multiply or divide by need to be squared for area and cubed for volume.

Part of MathsMeasurement

Units of area and volume

Cube with area and volume labelled

Area is the amount of space inside a shape.

Volume is the amount of space inside a object.

Metric units for area and volume are based on units of length:

  • millimetres (\(mm\))
  • centimetres (\(cm\))
  • metres (\(m\))
  • kilometres (\(km\))

Units of area

Counting squares diagram

A square centimetre is the area within a square with sides of length \({1~cm}\), as shown above.

We say that it has an area of \({1~cm}^{2}\) (\({1~cm}\) squared).

Area is measured in:

  • square millimetres (\(mm^{2}\))
  • square centimetres (\(cm^{2}\))
  • square metres (\(m^{2}\))
  • square kilometres (\(km^{2}\))

Units of volume

Volume of a cube diagram

A cubic centimetre is the volume within a cube that has sides of length \({1~cm}\), as shown above.

It has a volume of \({1~cm}^3\) (\(1~cm\) cubed).

Volume is measured in:

  • cubic millimetres (\(mm^{3}\))
  • cubic centimetres (\(cm^{3}\))
  • cubic metres (\(m^{3}\))
  • cubic kilometres (\(km^{3}\))