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. The base is a rectangle with length $l = 7$ m and width $w=5$ m, so $B=l\times w$.

Step2: Calculate base - area

$B = 7\times5=35$ m².

Step3: Calculate volume

We know $h = 8$ m. Substitute $B = 35$ m² and $h = 8$ m into the volume formula $V=\frac{1}{3}Bh$. So $V=\frac{1}{3}\times35\times8=\frac{280}{3}$ m³.

Answer:

$\frac{280}{3}$ m³