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 base - area

The base is a square. The area formula for a square is $A = s^2$, where $s$ is the side - length of the square. Given $s = 18.7$ ft, so $A=(18.7)^2=349.69$ square feet.

Step2: Calculate volume of the pyramid

The volume formula for a pyramid is $V=\frac{1}{3}Ah$, where $A$ is the base - area and $h$ is the height. Given $A = 349.69$ square feet and $h = 8.8$ ft. Then $V=\frac{1}{3}\times349.69\times8.8$.
$V=\frac{349.69\times8.8}{3}=\frac{3077.272}{3}\approx1025.8$ cubic feet.

Answer:

$1025.8$ cubic feet