perplexus.info :: Geometry : Sphere Cube

Sphere Cube (Posted on 2004-02-09)

You may find this problem similar.

In a cube of side 4, I pack eight spheres of unit radius.

What is the largest sphere I can place in the center (such that it doesn't overlap any of the other spheres)?

See The Solution Submitted by SilverKnight

Rating: 3.0000 (5 votes)

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Puzzle Thoughts

Comment 16 of 16 |

The largest sphere that can be placed has radius √3 - 1

Posted by K Sengupta on 2023-06-30 07:53:08

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