# Lengths, areas and volumes of similar shapes

**Lengths in similar shapes**

When a shape is enlarged, every length in the shape is multiplied by the scale factor of the enlargement. For example:

If a cube is enlarge by a scale factor of three, the length of the small cube of 2 cm enlarges to 6 cm.

**Areas in similar shapes**

Similarly, when a cube is enlarged by a scale factor of 3 for its length, then the area is enlarged by a scale factor of 3²

**Volumes in similar shapes**

Finally, when a cube is enlarged by a scale factor of 3 for its length, then the volume is enlarged by a scale factor of 3³