A prism and a pyramid both have this triangular base if both shapes have the same height and volume of the prism is 1092 cubic units. What is the volume of the pyramid?

Question

A prism and a pyramid both have this triangular base if both shapes have the same height and volume of the prism is 1092 cubic units. What is the volume of the pyramid?
364 cubic units
728 cubic units

3276 cubic units
1092 cubic units

GPT 3.5 · Answer

364 cubic units

Explanation: Since both the prism and the pyramid have the same height and the same triangular base, the volume of the pyramid will be equal to 1/3 of the volume of the prism. Therefore, 1/3 * 1092 = 364 cubic units.