Question

find the volume of a pyramid with a square base, where the side length of the base is 18.7 ft and the height of the pyramid is 8.8 ft. round your answer to the nearest tenth of a cubic foot.

Explanation:

Step1: Calculate the area of the base

The base is a square with side length \(s = 18.7\) ft. The area of a square is \(A=s^{2}\), so \(A=(18.7)^{2}=349.69\) 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, \(A = 349.69\) and \(h=8.8\). Then \(V=\frac{1}{3}\times349.69\times8.8\).
First, calculate \(349.69\times8.8 = 3077.272\).
Then, \(V=\frac{3077.272}{3}=1025.7573\cdots\)

Answer:

\(1025.8\) cubic feet