I asked:

"Imagine a cube, which is going to be cut in two by a straight saw cut.  The saw-cut section, the raw face of the cut, can clearly be of various shapes, a square, or triangular (if a corner were cut off).  How would you cut the cube so that the section may be a perfect plane hexagon?"

I know you've been waiting with bated breath for the answer.  Here you go.

Bonus questions:

1. Can a cube be sectioned in such as way as to create a regular pentagon?
2. It appears this cut has the greatest area of all possible sections.  Can you prove it?