Question

Calculate the volume of a square-based pyramid in which the area of the base is 12 square units and the height is 15 units

Answer 1

The volume \( V \) of a square-based pyramid can be calculated using the formula:

\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]

In this case, we are given:
- Area of the base \( = 12 \) square units
- Height \( = 15 \) units

Substituting these values into the formula gives:

\[
V = \frac{1}{3} \times 12 \times 15
\]

Calculating this step-by-step:

1. First, multiply the base area by the height:
\[
12 \times 15 = 180
\]

2. Now divide by 3:
\[
V = \frac{180}{3} = 60
\]

Thus, the volume of the square-based pyramid is

\[
\boxed{60} \text{ cubic units.}
\]