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MD-MO 2007 Problem 7

    Given a tetrahedron VABCVABC with edges VAVA , VBVB and VCVC perpendicular any two of them. The sum of the lengths of the tetrahedron's edges is 3p3p . Find the maximal volume of VABCVABC .

    Dataset text AI-MO AoPS. Quoted with source.

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