# Cubic centimetres

## Volume

The **volume** of a solid is the amount of space it occupies. Solids are three-dimensional. A three-dimensional shape has **length** and **width**, and the extra dimension of **depth**. To measure three-dimensional spaces, a three-dimensional unit of measure is used. The common units used to measure the volume of objects include cubic millimetres (mm^{3}), cubic centimetres (cm^{3}) and cubic metres (m^{3})

To calculate the volume of a solid, its three dimensions (length, width and depth), are multiplied together.

## Cubic centimetres

The cubic centimetre is a unit of volume measurement. Its symbol is **cm ^{3}**, the '3' indicating that three dimensions (length, width and depth) are involved.

1 cubic centimetre (cm^{3}) = 1 cm x 1 cm x 1 cm. A cubic centimetre has the same volume as a cube of length 1 cm, width 1cm and depth 1 cm.

## Calculating volume in cubic centimetres

Calculating the volume of a solid, whose dimensions (length, width and depth) are measured in centimetres, is a simple process. The three dimensions are multiplied together and the answer is expressed in 'cubic centimetre' units.

Example:

It is important that the unit of measurement used for each of the three dimensions is the same.

*See animation*