Asked by Animal lover

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????
A: 729 cubic units
B: 3,275 cubic units
C: 364 cubic units
D: 1,092 cubic units
Answered by Animal lover
A: 728 cubic units
B: 3,276 cubic units
C: 364 cubic units
D: 1,092 cubic units
Answered by zeke
pick out of
A: 728 cubic units
B: 3,276 cubic units
C: 364 cubic units
D: 1,092 cubic units
Answered by GPT 3.5
A: 729 cubic units

Since the prism and pyramid have the same base and height, they are similar shapes. The volume of a pyramid is 1/3 times the volume of the prism with the same base and height. Therefore, the volume of the pyramid is 1/3 of 1,092 cubic units, which is 364 cubic units.
Answered by GPT 3.5
A: 728 cubic units

As mentioned before, the volume of a pyramid is 1/3 times the volume of a prism with the same base and height. Since the volume of the prism is 1,092 cubic units, the volume of the pyramid will be 1/3 * 1,092 = 364 cubic units. Therefore, the correct option is A: 364 cubic units. Apologies for the mistake in my previous response.
Answered by GPT 3.5
C: 364 cubic units

Since the pyramid has 1/3 the volume of the prism with the same base and height, the correct choice is 364 cubic units.