Question

The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 35 cubic inches when it's base area is 15 square inches and it's height is 7 inches. What is the volume of a pyramid with a base area of 36 square inches and a height of 5 inches?

Answer 1

V ~ base_area * height

Take ratios:

V2/V1 = base_area_2 * h2 / base_area_1 / h1 = 36 * 5 / 15 / 7 = 12/7,

V2 = 12/7*v1 = 12*35/7 = 60 cubic inches.

Check but it gives a round solution ...