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)
• 24 in.3
• 16 in.3
• 144 in.3
• 96 in.3
The volume of a pyramid is given by the formula V = (1/3) * base area * height.
Since the base and height of the prism and pyramid are congruent, the volume of the prism is 3 times the volume of the pyramid.
So, the volume of the prism is 3 * 48 in.³ = 144 in.³
Therefore, the correct answer is:
• 144 in.³