Volume of the cube , where is the side of the cube.
If a slice thick is cut from one side, then volume is .
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Solve the equation for .
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Apply zero product property.
and .
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Solve the equation using quadratic formula.
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Compare with .
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Since the solutions of are imaginary, the real solution is .
Check:
Substitute in.
.
Therefore, length of the edge of the cube is .
Length of the edge of the cube is .
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