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)

Question

Responses

180 cubic units
180 cubic units

45 cubic units
45 cubic units

27 cubic units
27 cubic units

60 cubic units

Answer 1

The volume \( V \) of a pyramid can be calculated using 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 \(\frac{1}{3}\): \[ V = \frac{1}{3} \times 180 = 60 \]

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

The correct response is: 60 cubic units.