Given a unit cube, what is the largest square that can be placed completely inside the cube?

It seems that the square will be produced by a plane bisecting the cube between two opposite faces. the angle to the edges will be 45 degrees, but the angle to the two faces will be about 70 degrees.

Addendum: And intuition tells me the corners of the square will rest 1/4 unit from the vertexes of the cube.

Edited on December 26, 2004, 4:57 pm

Posted by CeeAnne on 2004-12-26 16:52:37