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
ft³

Explanation:

Step1: Recall volume formula for square - based pyramid

The volume formula for a square - based pyramid is $V=\frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height.

Step2: Calculate the area of the base

The base is a square with side length $s = 14.1$ ft. The area of the base $B=s^{2}=(14.1)^{2}=198.81$ square feet.

Step3: Identify the height

The height of the pyramid $h = 13.1$ ft.

Step4: Calculate the volume

Substitute $B = 198.81$ and $h=13.1$ into the volume formula $V=\frac{1}{3}Bh$. So $V=\frac{1}{3}\times198.81\times13.1=\frac{1}{3}\times2604.411\approx868.1$ cubic feet.

Answer:

$868.1$ ft³