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Boring, boring... (Posted on 2005-03-06) Difficulty: 4 of 5
You have a 3x3x3 cube. You bore a circular hole, of diameter 1, from the center of the top face to the center of the bottom face. You bore a similar hole from the left face center to the right face center, and another hole from front center to back center. How much material was removed?

See The Solution Submitted by Federico Kereki    
Rating: 4.4286 (7 votes)

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re(6): picture of the center | Comment 11 of 13 |
(In reply to re(5): picture of the center by Charlie)

As a further aid for combinatorial analysis, the following link points to a picture that could be considered of those points that are in exactly 2 of the cylinders or those that are in at least 2 of the cylinders, as the set that are in all three (the picture in the Wolfram link) is completely surrounded by these:

the picture of intersections of cylinders 2 at a time

  Posted by Charlie on 2005-03-07 16:41:43
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