HMMT 2005 F6
- General 2
- Answer
A cube with side length 2 is inscribed in a sphere. A second cube, with faces parallel to the first, is inscribed between the sphere and one face of the first cube. What is the length of a side of the smaller cube?
Dataset text NuminaMath olympiads. Quoted with source.
Also HMMT 2005 G5.
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\frac{2}{3}
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