Two similar pyramids have lateral areas f 20 square feet and 45 sqaure feet. The vloume of the smaller pyramid is 8 cubic feet. Find the volume of the larger pyramid.

Question

33ft^3
27ft^3
18ft^3
12ft^3

Can some explain how to solve this.

Answer 1

the areas scale as the square of the ratio
the volumes scale as the cube of the ratio

so, volumes scale as the 3/2 power of the area ratio
So thar larger pyramid's volume is

8*(40/25)^(3/2) = 8 * (9/4)^(3/2) = 8 * 27/8 = 27

Answer 2

Thank you, I think I undertsand this. I will give it a try.

Answer 3

Steve is correct