Question

Find the volume of a pyramid with a square base, where the perimeter of the base is 13.4 in and the height of the pyramid is 7.6 in. Round your answer to the nearest tenth of a cubic inch.

Answer 1

28.4in³

Explanation:

Volume of the square based pyramid = L²H/3 where;

L is the length of a side of the square base

H is the height of the prism

Given

Perimeter of the base = 13.4 in

Height of the pyramid = 7.6in

First we need to get the length of the square base

Perimeter of a square = 4L

13.4 = 4L

L = 13.4/4

L = 3.35 in

Next is to find the required volume of the pyramid

V = L²H/3

V = 3.35²(7.6)/3

V = 85.291/3

V = 28.4 in³

Hence the volume of the pyramid to nearest tenth is 28.4in³