Question

Pyramids A and B are similar. Pyramid A has a height of 9 inches, and Pyramid B

has a height of 27 inches. Pyramid A has a volume of 304 in'. What is the volume
of Pyramid B?

Answer 1

V = 8208 cu. in.

Explanation:

The ratio of the volumes is equal to the ratio of the cubes of the heights.

Let V = vol. of pyramid B

`(27^(3) )/(9^(3) ) = (V)/(304)`

`V = (27^(3)*304 )/(9^(3) )`

V = 8208 cu. in.