Question

The ratio of the base edges of two similar pyramids is 3:4. The volume of the larger pyramid is 320 in3. What is the volume of the smaller pyramid?

189 in3
180 in3
240 in3
135 in3

Answer 1

A pyramids volume is \[\frac{ lwh }{ 3 }\]

Where l, w are the side lengths and h is the height

Answer 2

Now in this question I assume both pyramids have same height but the edges differ in a ration to 3:4
So both l, w changes.
This the actual area ratio is 3^2 : 4^2 or 9:16

320/16=20
9*20=180