SOLUTION: A cube measures n inches on each edge. If a slice 5 inches thick is cut from one face of the cube, the resulting solid has a volume of 500 cubic inches. Find n.

Question 200685: A cube measures n inches on each edge. If a slice 5 inches thick is cut from one face of the cube, the resulting solid has a volume of 500 cubic inches. Find n.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A cube measures n inches on each edge. If a slice 5 inches thick is cut from one face of the cube, the resulting solid has a volume of 500 cubic inches. Find n.
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Is 500 the piece cut, or the piece that's left?
If it's the piece cut:
5*n*n = 500
n = 10 inches.
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If it's what's left:
n^3 - 5n^2 = 500
n^3 - 5n^2 - 500 = 0
n = 10

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