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Chisinau MO p62 1949-56 X volume of tetrahedron is constant

Source:

March 15, 2021
geometry3D geometrytetrahedronVolumefixedconstant

Problem Statement

On two intersecting lines ℓ1\ell_1 and ℓ2\ell_2, segments ABAB and CDCD of a given length are selected, respectively. Prove that the volume of the tetrahedron ABCDABCD does not depend on the position of the segments ABAB and CDCD on the lines ℓ1\ell_1 and ℓ2\ell_2.
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