Question

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 the area of the base

The base is a rectangle with length $l = 9$ cm and width $w = 4$ cm. The area of the base $B=l\times w=9\times4 = 36$ $cm^{2}$.

Step3: Identify the height

The height $h$ of the pyramid is given as 9 cm.

Step4: Calculate the volume

Substitute $B = 36$ $cm^{2}$ and $h = 9$ cm into the volume formula $V=\frac{1}{3}Bh$. So $V=\frac{1}{3}\times36\times9$. First, $\frac{1}{3}\times36 = 12$, then $12\times9=108$ $cm^{3}$.

Answer:

$108$ $cm^{3}$