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Half a cube (Posted on 2002-05-03) Difficulty: 4 of 5
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?

See The Solution Submitted by levik    
Rating: 4.0000 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Duh, people. | Comment 5 of 11 |
(In reply to Duh, people. by Mike)

Um.... No.

If you think about it, if one of the vertices is at the top, and the other at the bottom, the remaining six vertices do not lie in the same plane, and there is no way for a cut to go through them all.

Try and look at it with a real cube, and you will see.
  Posted by levik on 2002-07-29 08:56:36

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