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

180 cubic units
180 cubic units

27 cubic units
27 cubic units

45 cubic units
45 cubic units

60 cubic units

1 answer

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, the area of the base is given as 12 square units, and the height is given as 15 units. Plugging in these values:

\[ V = \frac{1}{3} \times 12 \times 15 \] \[ V = \frac{1}{3} \times 180 \] \[ V = 60 \text{ cubic units} \]

Therefore, the volume of the square-based pyramid is 60 cubic units.