Question

find the volume of the pyramid below. a. 192 units b. 192 units³ c. 72 units³ d. 576 units³

Explanation:

Step1: Calculate base area

The base is a square with side length 8, so area $A = 8 \times 8 = 64$

Step2: Identify pyramid height

The perpendicular height of the pyramid is 9.

Step3: Apply volume formula

Use pyramid volume formula $V = \frac{1}{3} \times A \times h$
$V = \frac{1}{3} \times 64 \times 9$

Step4: Compute final volume

$\frac{1}{3} \times 9 = 3$, so $V = 64 \times 3 = 192$, units are cubic.

Answer:

B. 192 units³