IMO Shortlist 1976 problem 6
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A box whose shape is a parallelepiped can be completely filled with cubes of side
If we put in it the maximum possible number of cubes, each ofvolume,
, with the sides parallel to those of the box, then exactly
percent from the volume of the box is occupied. Determine the possible dimensions of the box.



Izvor: Međunarodna matematička olimpijada, shortlist 1976