Question
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.
33ft^3
27ft^3
18ft^3
12ft^3
Can some explain how to solve this.
Answers
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
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
June
Thank you, I think I undertsand this. I will give it a try.
Moo
Steve is correct