Question

The similarity ratio of two figures is 2:3. If the volume of the larger figure is 150 in.³ what is the volume of the smaller figure?

Answer 1

44.4 in³

Explanation:

The similarity ratio is 2:3, so the ratio of the volumes is (2:3)³ = 8:27.

Writing a proportion:

x / 150 = 8 / 27

x = 44.4

The volume of the smaller figure is 44.4 in³.