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 $V = \frac{1}{3} \times \text{base area} \times \text{height}$

Step2: Calculate base area

Base is a rectangle: $\text{Area} = 9 \times 4 = 36 \, \text{m}^2$

Step3: Substitute values into formula

$V = \frac{1}{3} \times 36 \times 9$

Step4: Compute the final value

$\frac{1}{3} \times 36 = 12$, then $12 \times 9 = 108$

Answer:

$108 \, \text{cubic meters}$ (or $108 \, \text{m}^3$)