HMMT 2001 F2
- General 2
- Answer
Call three sides of an opaque cube adjacent if someone can see them all at once. Draw a plane through the centers of each triple of adjacent sides of a cube with edge length 1. Find the volume of the closed figure bounded by the resulting planes.
Dataset text NuminaMath olympiads. Quoted with source.
Also HMMT 2001 G2.
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\frac{1}{2}
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