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.(1 point) Responses 45 cubic units 45 cubic units 60 cubic units 60 cubic units 180 cubic units 180 cubic units 27 cubic units 27 cubic units

Answer 1

To calculate the volume \( V \) of a square-based pyramid, you can use the formula:

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

Given that the area of the base is \( 12 \) square units and the height is \( 15 \) units, we can substitute these values into the formula:

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

Calculating this step-by-step:

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

2. Now, multiply by \( \frac{1}{3} \):
\[
V = \frac{180}{3} = 60
\]

Thus, the volume of the pyramid is \( 60 \) cubic units.

Therefore, the correct response is **60 cubic units**.