Question

The two square pyramids are similar. Find the total volume of both pyramids if the ratio of their surface areas is . 9/16

Answer 1

B.

Explanation:

Answer 2

If the ratio of surface area is 9/16, then the ratio of linear dimensions is sqrt(9/16)=3/4, and the ratio of the volumes is (3/4)^3=27/64.

Therefore the total volume = (1+27/64)*volume of the larger pyramid

= (91/64)*volume of the larger pyramid.