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2 liters of water in a regular tetrahedron of edge 30 cm

Source: Spanish Mathematical Olympiad 1983 P7

December 23, 2022
geometry3D geometrytetrahedronVolume

Problem Statement

A regular tetrahedron with an edge of 3030 cm rests on one of its faces. Assuming it is hollow, 22 liters of water are poured into it. Find the height of the ''upper'' liquid and the area of the ''free'' surface of the water.