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max volume of tetrahedra with sum of 3 faces < = 1

Source: Austrian-Polish 1993

May 24, 2019
geometrysolid geometry3D geometrytetrahedronVolume

Problem Statement

Consider all tetrahedra ABCDABCD in which the sum of the areas of the faces ABD,ACD,BCDABD, ACD, BCD does not exceed 11. Among such tetrahedra, find those with the maximum volume.
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