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)
O 1.092 cubic units
O 3.276 cubic units
• 728 cubic units
• 364 cubic units
To find the volume of the pyramid, we need to first determine the volume of the triangular prism.
The volume of a prism is given by the formula V = Bh, where B is the area of the base and h is the height. Since the prism and the pyramid have the same height, we can say that the pyramid has 1/3 the volume of the prism, since a pyramid is 1/3 the volume of a prism with the same base and height.
Therefore, the volume of the pyramid is 1/3 * 1092 = 364 cubic units.
So, the correct answer is:
• 364 cubic units