Converting units of volume

The two cubes have the same volume.

Cube 1

Volume = \(1~\text{m} \times 1~\text{m} \times 1~\text{m}\)

Volume = 1 m³

Cube 2

Volume = \(100~\text{cm} \times 100~\text{cm} \times 100~\text{cm}\)

Volume = 1,000,000 cm³

Since Cube 1 and Cube 2 have the same volume, \(1~\text{m}^3 = 1,000,000 ~\text{cm}^3\)

The same method can be used to convert cm³ into mm³.

Cube 3

Volume = \(1~\text{cm} \times 1~\text{cm} \times 1~\text{cm}\)

Volume = 1 cm³

Cube 4

Volume = \(10~\text{mm} \times 10~\text{mm} \times 10~\text{mm}\)

Volume = 1,000 mm³

Since Cube 3 and Cube 4 have the same volume, \(1~\text{cm}^3 = 1,000 ~\text{mm}^3\)

The most common metric unit conversions for volume are:

Convert 25,000 cm³ into m³.

\(1~\text{m}^\text{3} = 1,000,000~\text{cm}^\text{3}\)

So, \(25,000~\text{cm}^\text{3} = 25,000 \div 1,000,000~\text{m}^\text{3} = 0.025 ~\text{m}^\text{3}\)

Units of measure - AQAConverting units of volume