Question

Find the height of a pyramid with the volume of 340 cubic inches and a base of 42.5 squared inches.

Answer 1

24 in

Explanation:

The volume of a pyramid of base area A and height h is V = (1/3)(A)(h).

It's easiest to solve this for h before plugging in numerical values. Solving for h, we get: 3V = A·h, or

3V

h = -------------

A

With A = 42.5 in² and V = 340 in³, we have

3(340 in³)

h = ---------------- = 24 in

42.5 in²

V = --------------