Find the volume of a pyramid with a square base, where the side length of the base is
18.1 ft and the height of the pyramid is
11.9 ft. Round your answer to the nearest
tenth of a cubic foot.

Volume = 1299.5 ft³

Step-by-step explanation:

Given the following data;

Side length of the base = 18.1 ft

Height = 11.9 ft

To find the volume of pyramid with a square base,

Volume of square-based pyramid = A(h/3)

Where;

A is the area of the square base.

h is the height of the pyramid.

First of all, we would find the area of the square base;

Area of square = L²

A = 18.1²

A = 327.61 ft²

Next, we find the volume of the square-based pyramid;

Volume = 327.61(11.9/3)

Volume = 3898.559/3

Volume = 1299.5 ft³