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A cube within a cone (Posted on 2024-04-10) Difficulty: 2 of 5
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.

What is the side's length of the cube?

Source: Putnam 1998

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Puzzle Answer Comment 2 of 2 |
The required side length of the cube is ~0.961131723051122.
  Posted by K Sengupta on 2024-04-10 11:09:35
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