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A rectangular prism has a base area of 25 in.? and a volume of 125 in.3. if a rectangular pyramid has a congruent base and height congruent to the prism, what is the height of the pyramid? (1 point)
To find the height of the rectangular pyramid, we first need to find the dimensions of the base of the pyramid. Since the base area of the prism is 25 in.^2, we can find the side length of the base by taking the square root of 25.
Side length of base = √25 = 5 in.
Since the volume of the prism is 125 in.^3 and the base area is 25 in.^2, we can find the height of the prism by dividing the volume by the base area.
Height of prism = Volume / base area
Height of prism = 125 in.^3 / 25 in.^2
Height of prism = 5 in.
Since the base and height of the pyramid are congruent to the prism, the height of the pyramid is also 5 in.