Question

find the volume of this rectangular pyramid. be sure to include the correct unit in your answer. if necessary, refer to the list of geometry formulas.

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 of the pyramid.

Step2: Calculate base area

The base of the pyramid is a rectangle with length $l = 9$ in and width $w = 7$ in. The area of the base $B=l\times w=9\times7 = 63$ in².

Step3: Find volume

The height of the pyramid $h = 7$ in. Substitute $B = 63$ in² and $h = 7$ in into the volume formula: $V=\frac{1}{3}\times63\times7$. First, $\frac{1}{3}\times63 = 21$, then $21\times7=147$ in³.

Answer:

$147$ in³