Asked by June (needs help solving)

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.

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

Can some explain how to solve this.
Answered by Steve
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
Answered by June
Thank you, I think I undertsand this. I will give it a try.
Answered by Moo
Steve is correct
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