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 rectangular - pyramid is a rectangle with length $l = 5$ m and width $w = 4$ m. The area of the base $B=l\times w=5\times4 = 20$ m².

Step3: Identify height

The height of the pyramid $h = 5$ m.

Step4: Calculate volume

Substitute $B = 20$ m² and $h = 5$ m into the volume formula $V=\frac{1}{3}Bh$. So $V=\frac{1}{3}\times20\times5=\frac{100}{3}\approx33.33$ m³.

Answer:

$\frac{100}{3}$ m³