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2023 Polish Junior Math Olympiad Round 1 P7

Source:

May 21, 2023
3D geometry

Problem Statement

Let ABCDEFABCDEF be a regular hexagon with side length 22. Point MM is the midpoint of diagonal AEAE. The pentagon ABCDEABCDE is folded along segments BDBD, BMBM, and DMDM in such a way that points AA, CC, and EE coincide. As a result of this operation, a tetrahedron is obtained. Determine its volume.
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