Gold cube distribution

The king cannot decide how to distribute 4 cubes of pure gold, which have edges of length 3 cm, 4 cm, 5 cm, and 6 cm, to two sons as fairly as possible.
Design a solution so that the cubes do not have to be cut.

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You need to know the following knowledge to solve this word math problem:

statisticsarithmeticsolid geometrybasic operations and conceptsUnits of physical quantitiesGrade of the word problem

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