Concept

Volume Scale Factor

For similar solids, the ratio between their volumes is called the volume scale factor.

Volume Scale Factor \frac{Volume of Solid 2}{Volume of Solid 1} or Volume of Solid 2 : Volume of Solid 1

The scale factor of the volumes of similar solids can also be calculated by cubing the length scale factor of the solids.

Example Considering Similar Figures

Examine these two similar cuboids.

The volume scale factor can be calculated using the volumes of these two similar figures.

Volume Scale Factor = \frac{Volume of Solid 2}{Volume of Solid 1}

$Volume of Solid 1 = 10$ , $Volume of Solid 2 = 80$

Volume Scale Factor = \frac{8 0}{1 0}

Calculate quotient

Volume Scale Factor = 8