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 $7\ \text{m}$ and width $4\ \text{m}$.
$\text{Base Area} = 7 \times 4 = 28\ \text{m}^2$

Step3: Substitute values into formula

Substitute base area $28\ \text{m}^2$ and height $8\ \text{m}$ into the volume formula.
$V = \frac{1}{3} \times 28 \times 8$

Step4: Compute the final volume

$V = \frac{224}{3} \approx 74.67$

Answer:

$\frac{224}{3}\ \text{cubic meters}$ (or approximately $74.67\ \text{m}^3$)