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Bricks and Box Baffle (Posted on 2014-05-23) Difficulty: 3 of 5
Prove that one can pack precisely forty one 1x2x4 bricks into a 7x7x7 box.

Bonus Question:
Can precisely forty two 1x2x4 bricks be packed into this box?
If so, show how. If not, prove that it canít be done.

No Solution Yet Submitted by K Sengupta    
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Hints/Tips Old thoughts | Comment 1 of 2
I remember seeing this puzzle somewhere years ago.  The trick to packing the 41 bricks was that the empty spaces in box formed three 1x1x5 spaces, forming a sort of path from one corner of the box to its far opposite corner.

The bonus question was proved to be impossible, the key point was that there were only 7 empty voids in the box, no two of which could be coplanar.

  Posted by Brian Smith on 2014-05-24 14:08:20
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