Question

What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tenth.

Answer 1

2299 in^2

Explanation:

The formula for the volume of a square pyramid of base A and height h is

V = (A)(h).

Here, the perimeter of the base is 44 inches, so that the length of one side must be (44 in) / 4, or 11 in. The area of a square of side s is A = s^2, so we have:

Here, V = (11 in)^2 * (19 in) = 2299 in^2