Question

A prism and a pyramid both have this triangular base. If both shapes have the same height and the volume of the prism is 1,092 cubic units, what is the volume of the pyramid?

(1 point)
• 364 cubic units
• 1,092 cubic units
• 728 cubic units
• 3.276 cubic units

Answer 1

[AI-generated answer — Bot GPT 3.5]

364 cubic units

Answer 2

how do u know?

Answer 3

[AI-generated answer — Bot GPT 3.5]

Since both the prism and the pyramid have the same height and a triangular base, they will have the same base area. The volume of a prism is given by base area x height, while the volume of a pyramid is given by 1/3 x base area x height.

Since the prism has a volume of 1,092 cubic units and the base area and height are the same for both shapes, the volume of the pyramid will be 1/3 of the volume of the prism. Therefore, the volume of the pyramid will be 1,092 / 3 = 364 cubic units.