Question

A stereo speaker in the shape of a triangular pyramid has a height of 8 inches. The area of the base of the speaker is 13 square inches. What is the volume of the speaker in cubic inches?

Answer 1

The volume of a triangular pyramid can be calculated using the formula:

Volume = (1/3) x (Area of base) x (Height)

In this problem, the height of the speaker is 8 inches, and the area of the base is 13 square inches. Therefore, the volume of the speaker can be calculated as:

Volume = (1/3) x 13 x 8

Volume = 104/3

Volume ≈ 34.67 cubic inches

Therefore, the volume of the speaker is approximately 34.67 cubic inches.