Question

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

Explanation:

Step1: Calculate base area

The base is a rectangle, so area $B = l \times w = 6 \text{ ft} \times 4 \text{ ft} = 24 \text{ ft}^2$

Step2: Apply pyramid volume formula

Volume formula: $V = \frac{1}{3}Bh$, substitute $B=24$, $h=6$
$V = \frac{1}{3} \times 24 \times 6$

Step3: Compute final volume

$V = 8 \times 6 = 48$

Answer:

$48$ cubic feet or $\text{48 ft}^3$