MathDB
Moldova NMO, 11th grade, Day 2, Problem 7

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March 4, 2007
geometry3D geometrytetrahedronAMCUSA(J)MOUSAMOinequalities

Problem Statement

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.