Try to do this without any visual aids:

Imagine a perfect cube that is placed on a horizontal surface resting on its point (A), so that the opposite point (B is in the air directly above it. (The long diagonal of this cube (AB) would thus be perpendicular to the surface.)

The cube is then cut in half with a horizontal cut - parallel to the surface it is standing on, at the height equal half the length of AB, resulting in two equal shapes.

What is the cross-section of such a cut?

Well, I imagine any of the corner of the cube, it has 3 faces, and on the opposite side is the same corner but rotated so that those tree faces fit with the other mentioned. A cube has 6 faces, so if we cut it horizontally, every face has to be "seen". I say that the figure appears after the cut would be an hexagon.

Posted by Antonio on 2003-08-23 02:49:06