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?
Since both the prism and the pyramid have the same height and triangular base, their volumes are proportional to the area of their bases.
The volume of a prism is given by the formula: Volume = base area x height
Since the volume of the prism is 1,092 cubic units and both shapes have the same height, the volume of the pyramid with the same base area as the prism is 1,092/3 or 364 cubic units.
Therefore, the volume of the pyramid is 364 cubic units.