There is a rectangular prism and pyramid with congruent bases and height. If the volume of the pyramid is 48 in.", what is the volume of the prism? (1 point)
The volume of a pyramid is given by the formula V = 1/3 * base area * height, and the volume of a rectangular prism is given by the formula V = base area * height.
Since the bases of the prism and pyramid are congruent and the height is the same for both, the base area and height will be the same for both shapes.
Given that the volume of the pyramid is 48 in³, we can set up the equation:
48 = 1/3 * base area * height
48 = 1/3 * base area * height
144 = base area * height
Since the volume of the prism is equal to the base area times the height, the volume of the prism will be 144 in³.