$\"\"$

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Let the length of the cube is $\"\"$ .

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Then volume of the cube is $\"\"$ .

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From the given data :

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$\"\"$

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

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$\"\"$

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$\"\"$

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$\"\"$

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Solve $\"\"$ .

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$\"\"$

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$\"\"$ , $\"\"$ , and $\"\"$

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$\"\"$ , $\"\"$ , and $\"\"$

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Since negative values are not considered, $\"\"$ and $\"\"$ .

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

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$\"\"$

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The length of the edge of a cube is $\"\"$ or $\"\"$ .