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    I don't think it's not possible to solve it.
    First I thought to make a cubic root on the volume and, if it is the same as the side, it's a cube.
    But with a volume = 8000 and side = 20 you could think it is a cube. But it could still be a rectangular cuboid of 201004 sides.
    I don't think it is mathematically possible to solve this.
    By the way, im not a mathematician nor a programmer, so I would love to know if I'm thinking it the wrong way.