Question

what is the volume of the regular pyramid below? a. 75 units³ b. 135 units³ c. 96 units³ d. 225 units³

Explanation:

Step1: Calculate base area

The base is a square with side length 5, so area $A = 5 \times 5 = 25$.

Step2: Apply pyramid volume formula

Volume formula is $V = \frac{1}{3} \times A \times h$, where $h=9$. Substitute values:
$V = \frac{1}{3} \times 25 \times 9$

Step3: Compute final volume

Simplify the expression: $\frac{1}{3} \times 9 = 3$, then $25 \times 3 = 75$.

Answer:

A. 75 units$^3$