SolidGemoetry USAMO
2015


Problem - 2209
Let $C$ be a three-dimensional cube with edge length 1. There are 8 equilateral triangles whose vertices are vertices of $C$. The 8 planes that contain these 8 equilateral triangles divide $C$ into several non-overlapping regions. Find the volume of the region that contains the center of $C$.

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