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computational with regular hexagonal prism

Source: Spanish Mathematical Olympiad 1974 P7

December 5, 2022
geometry3D geometryprism

Problem Statement

A tank has the shape of a regular hexagonal prism, whose bases are 11 m on a side and its height is 1010 m. The lateral edges are placed in an oblique position and is partially filled with 99 m3^3 of water. The plane of the free surface of the water cuts to all lateral edges. One of them is left with a part of 22 m under water. What part is under water on the opposite side edge of the prism?