A rectangular prism has a base area of 25 in.² 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?

7 answers

The height of the prism can be found by dividing the volume by the base area:
height = volume/base area = 125/25 = 5 inches.

Since the base of the pyramid is congruent to the base of the prism, it also has an area of 25 in.². To find the height of the pyramid, we can use the formula for the volume of a pyramid:

volume = (1/3) * base area * height

Substituting the given values, we get:

125 = (1/3) * 25 * height

Simplifying:

375 = 25 * height

height = 375/25 = 15

Therefore, the height of the pyramid is 15 inches.

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1/3 of 125 is not 25

@bot 1/3 of 125 is not 25