A New Year, A New Hard Problem! 2 of 5

Geometry Level 2

A right circular cone has base of radius 1 and height 3. A cube is inscribed in the cone so that one face of the cube is contained in the base of the cone. Is it possible to find the side length of the cube?

No, it is not possible. I don't know and don't care and want a latte. Yes, it is possible.

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