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

Explanation:

Step1: Recall volume formula

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.

Step2: Calculate base area

The base is a rectangle with length $l = 7$ ft and width $w = 6$ ft. The area of the base $B=l\times w=7\times6 = 42$ ft².

Step3: Substitute values into formula

The height $h = 6$ ft. Substitute $B = 42$ ft² and $h = 6$ ft into the volume formula $V=\frac{1}{3}Bh$. So $V=\frac{1}{3}\times42\times6$.

Step4: Perform calculation

First, $\frac{1}{3}\times42 = 14$, then $14\times6=84$ ft³.

Answer:

$84$ ft³