Question

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

Explanation:

Step1: Recall volume formula for pyramid

The volume $V$ of a rectangular pyramid is given by $V = \frac{1}{3} \times \text{Base Area} \times \text{Height}$

Step2: Calculate base area

The base is a rectangle with length $7\ \text{m}$ and width $4\ \text{m}$.
Base Area $= 7 \times 4 = 28\ \text{m}^2$

Step3: Substitute values into formula

Substitute base area $28\ \text{m}^2$ and height $7\ \text{m}$ into the volume formula:
$V = \frac{1}{3} \times 28 \times 7$

Step4: Compute final volume

$V = \frac{196}{3} \approx 65.33$

Answer:

$\frac{196}{3}\ \text{cubic meters}$ (or approximately $65.33\ \text{m}^3$)