Question

The ratio of the edges of two similar pyramids is 10 : 1, and the volume of the smaller one is 5 ft3. Find the volume of the larger one.

Answer 1

5000 ft³

Explanation:

You want the volume of the larger of two similar pyramids whose edge length ratio is 10:1, when the volume of the smaller is 5 ft³.

Similar volumes

The ratio of the volumes of similar figures is the cube of the ratio of their scale factor.

V/(5 ft³) = (10/1)³

V = (5 ft³)(10³) = 5000 ft³

The volume of the larger pyramid is 5000 ft³.