A toy block in the shape of a triangular pyramid has a height of 8 inches. The area of the triangular base of the block is 12 square inches.

What is the volume of the block in cubic inches?

Responses
A 32 in³32 in³
B 48 in³48 in³
C 96 in³96 in³
D 20 in³

1 answer

B 48 in³

The formula to calculate the volume of a triangular pyramid is: V = (1/3) * base area * height

Given that the base area is 12 square inches and the height is 8 inches, plug these values into the formula:

V = (1/3) * 12 * 8
V = (1/3) * 96
V = 32

Therefore, the volume of the block is 32 cubic inches.