Question

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

Explanation:

Step1: Recall pyramid volume formula

The volume $V$ of a rectangular pyramid is $V = \frac{1}{3} \times \text{base area} \times \text{height}$

Step2: Calculate base area

The base is a rectangle with length $6\ \text{m}$ and width $3\ \text{m}$.
$\text{Base Area} = 6 \times 3 = 18\ \text{m}^2$

Step3: Substitute values into formula

Use height $h=5\ \text{m}$ and base area $18\ \text{m}^2$.
$V = \frac{1}{3} \times 18 \times 5$

Step4: Compute the final volume

First calculate $\frac{1}{3} \times 18 = 6$, then $6 \times 5 = 30$

Answer:

$30\ \text{cubic meters}$ or $30\ \text{m}^3$