A rectangular pyramid has a volume of 480 in.3 . If a rectangular prism has a base and height congruent to the pyramid, what is the volume of the prism?(1 point) in.3
The volume of a rectangular pyramid is given by the formula V = ⅓Bh, where B is the area of the base and h is the height.
Given that the volume of the pyramid is 480 in.3 and the base and height are congruent to those of the prism, we can assume that the base area of the pyramid is equal to BH = x*x = x^2, and the height of the pyramid h is equal to h.
Therefore, we have:
⅓(x^2)h = 480
x^2h = 1440
Since the base and height of the rectangular prism are congruent to those of the pyramid, the volume of the prism is given by V = x^2*h = 1440.
Therefore, the volume of the prism is 1440 in.3.