Question

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find the volume of this rectangular pyramid. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall volume formula for rectangular pyramid

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

Step2: Calculate the area of the base

The base of the rectangular pyramid is a rectangle with length $l = 9$ ft and width $w = 3$ ft. The area of the base $B=l\times w=9\times3 = 27$ square - feet.

Step3: Identify the height of the pyramid

The height of the pyramid $h = 6$ ft.

Step4: Substitute values into the volume formula

Substitute $B = 27$ square - feet and $h = 6$ ft into the formula $V=\frac{1}{3}Bh$. So $V=\frac{1}{3}\times27\times6$.
First, $\frac{1}{3}\times27 = 9$, then $9\times6=54$ cubic - feet.

Answer:

$54$ ft³