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To find a number that is a perfect cube, take an integer, mulitply it by itself and again. The answer is a perfect cube.

Thus n * n * n

To find a perfect cube as a 3 dimensional object is not possible. It is a concept that can exist only in your imagination. Any physical representation is bound to have microscopic (or smaller) flaws - certainly at the sub-atomic level.

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Q: How do you find a perfect cube?
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