Question

a solid right pyramid has a square base. the length of the base edge is 4 cm and the height of the pyramid is 3 cm. what is the volume of the pyramid? 12 cm³ 16 cm³ 32 cm³ 48 cm³

Explanation:

Step1: Calculate base area

The base is a square, so area $A = s^2$ where $s=4$ cm.
$A = 4^2 = 16$ $\text{cm}^2$

Step2: Apply pyramid volume formula

Volume $V = \frac{1}{3} \times \text{base area} \times \text{height}$, height $h=3$ cm.
$V = \frac{1}{3} \times 16 \times 3$

Step3: Simplify to find volume

Cancel 3 in numerator/denominator.
$V = 16$ $\text{cm}^3$

Answer:

16 $\text{cm}^3$ (Option B)