Question

What is the ratio for the volumes of two similar Pyramids, given that the ratio of the edge lengths is 8:3?

Answer 1

D

Explanation:

Given that the ratio of side lengths = 8 : 3, then

ratio of volumes = 8³ : 3³ = 512 : 27 → D

Answer 2

The correct answer is option D.

EXPLANATION

The given pyramids are similar and the side lengths are in the ratio 8:3

Volume is in cubic units, therefore the volume of the two similar pyramids are in the ratio;

`{8}^(3) : {3}^(3)`

This simplifies to

`512 : 27`

The correct answer is option D.