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 its base area is 15 square inches and its 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

Given:

V1 = 35 cubic inches
A1 = 15 square inches
h1 = 7 inches

A2 = 36 inches
h2 = 5 inches

Required:

What is V2 equal to?

Solution:

To calculate a volume of a pyramid, we use the formula:

V = (Base Area × Height)/3

V2 = (36 square inches × 5 inches)/3

V2 = 60 cubic inches