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.
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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)
1 answer