$\"\"$

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Volume of the cube $\"\"$ , where $\"\"$ is the side of the cube.

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If a slice $\"\"$ thick is cut from one side, then volume is $\"\"$ .

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$\"\"$ .

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Solve the equation $\"\"$ for $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Apply zero product property.

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$\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$

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Solve the equation $\"\"$ using quadratic formula.

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$\"\"$ .

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$\"\"$

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Compare with $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Since the solutions of $\"\"$ are imaginary, the real solution is $\"\"$ .

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$\"\"$

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Check:

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Therefore, length of the edge of the cube is $\"\"$ .

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$\"\"$

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Length of the edge of the cube is $\"\"$ .