SOLUTION: A square pyramid has a volume of 125ft.What is the volume of a cube that has the same base and height as the square pyramid?

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Question 392783: A square pyramid has a volume of 125ft.What is the volume of a cube that has the same base and height as the square pyramid?
Answer by MathLover1(20850) About Me  (Show Source):
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A square pyramid has a volume of 125ft.What is the volume of a
cube that has the same base and height as the square pyramid?
You know that the volume of a cube with edge length a is
a%5E3. So a%5E3+= ? cubic meters.
a is also the side length of the pyramid, as well as its height.
The volume of a square pyramid is %281%2F3%29%28a%5E2%29%28a%29+=+%281%2F3%29%28a%5E3%29
You already know that a square pyramid has a .........solve for a%5E3.....both sides multiply by 3
3%28125ft+%29=+3%281%2F3%29%28a%5E3%29
375ft+=+cross%283%29%281%2Fcross%283%29%29%28a%5E3%29
%28375ft+%29=+a%5E3...........................the volume of a cube