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?
bot is incorrect
@bot the answer was wrong
1/3 of 125 is not 25
@bot 1/3 of 125 is not 25
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.