SOLUTION: A cube and a square pyramid have the same base and height. If the volume of the pyramid is 9 cubic inches, what is the length of one side of the cube?
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Question 873235: A cube and a square pyramid have the same base and height. If the volume of the pyramid is 9 cubic inches, what is the length of one side of the cube? Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! let B be the base and h be the height and Vp is volume of pyramid, we know the formula for the volume of the square pyramid is
Vp = B * h/3
Vp = B * h/3 = Bh/3
let Vc be the volume of the cube
Vc = B*h
Therefore the volume of the right pyramid is 1/3 the volume of the cube
Vc = 9 * 3 = 27
length of a side for the cube is 3 inches
