# Volume Converter:

To convert Volume, remember that volume is length by width by height:

Volume = Length × Width ×  Height

# Converting units of volume:

The two cubes have the same volume.

Cube 1

Volume = 1 m×1 m×1 m

Volume = 1 m3

Cube 2

Volume = 100 cm×100 cm×100 cm

Volume = 1,000,000 cm3

Since Cube 1 and Cube 2 have the same volume,

1 m3=1,000,000 cm3

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

Cube 3

Volume = 1 cm×1 cm×1 cm

Volume = 1 cm3

Cube 4

Volume = 10 mm×10 mm×10 mm

Volume = 1,000 mm3

Since Cube 3 and Cube 4 have the same volume,

1 cm3 = 1,000 mm3

Here is a 10 cm cube.

The volume of this cube is 10 cm×10 cm×10 cm=1,000 cm3. This volume is more usually referred to as 1 litre (1l). This means that 1ml is the same as 1 cm3.

It can be hard to visualise the size of 1 litre. Try to remember that a small bottle of water is about 1/3 litre.

Convert 25,000 cm3 into (a) m3 and (b) litres.

(a) 1 m3 = 100 cm x 100 cm x 100 cm = 1,000,000 cm3

25,000÷1,000,000=0.025 m3

(b) 1l = 1000 cm3

25,000÷1,000=25 l.

## Converting imperial units of volume:

Imperial to metric conversions will usually be given to you in the exam but you should try to learn approximate equivalents.

A common approximate conversion for volume is:

1 gallon ≈ 4.5 litres

### Example

Convert 7.5 gallons into litres.

4.5 litres ≈ 1 gallon

7.5×4.5≈33.75 litres

7.5 gallons is approximately 33.75 litres.