IMO Shortlist 1976 problem 6

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Dodao/la: arhiva
2. travnja 2012.
A box whose shape is a parallelepiped can be completely filled with cubes of side 1. If we put in it the maximum possible number of cubes, each ofvolume, 2, with the sides parallel to those of the box, then exactly 40 percent from the volume of the box is occupied. Determine the possible dimensions of the box.
Izvor: Međunarodna matematička olimpijada, shortlist 1976