Since the volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height, we can calculate the base area of the pyramid:
480 = (1/3) * base area * height
base area * height = 480 * 3
base area * height = 1440
Since the base and height of the pyramid are congruent, we can say that the base area is equal to the square of the height:
height * height = 1440
height = √1440
height ≈ 37.95 in
Therefore, the base area of the pyramid is 37.95 in * 37.95 in = 1440 in²
Now, since a rectangular prism with the same base and height as the pyramid would have a volume of base area * height, the volume of the prism would be 1440 in² * 37.95 in = 54720 in³.
A rectangular pyramid has a volume of 480 in³ If a rectangular pyramid has a base and height congruent to the pyramid, what is the volume of the prism?
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