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

60 cubic units
60 cubic units

180 cubic units
180 cubic units

45 cubic units
45 cubic units

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

$$V=\frac{1}{3}\times 12\times 15$$

Calculating this step by step:

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

2. Now, divide by 3 to find the volume: $$V=\frac{180}{3}=60$$

Thus, the volume of the pyramid is 60 cubic units.

The correct response is: 60 cubic units.