Question

question
find the volume of a pyramid with a square base, where the side length of the base is 14.1 ft and the height of the pyramid is 13.1 ft. round your answer to the nearest tenth of a cubic foot.
answer attempt 1 out of 2

Explanation:

Step1: Calculate the area of the base

The base is a square with side length \(s = 14.1\) ft. The area of a square is \(A=s^{2}\), so \(A=(14.1)^{2}=198.81\) square feet.

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the base area and \(h\) is the height. Here, \(A = 198.81\) and \(h=13.1\). Then \(V=\frac{1}{3}\times198.81\times13.1\).
First, calculate \(198.81\times13.1 = 2594.411\). Then \(V=\frac{2594.411}{3}\approx864.8\) cubic feet.

Answer:

\(864.8\) cubic feet