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A Square Slab and a Cube (Posted on 2017-03-12) Difficulty: 3 of 5
An 11x11x1 slab can divided into pieces that fit into a 5x5x5 cube. Show that the slab must be divided into at least 9 pieces.

Find a 9 piece division such that the volume of each piece is at least 8.

No Solution Yet Submitted by Brian Smith    
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Some Thoughts First part | Comment 1 of 2
That there must be at least 9 pieces is almost trivial.  Since the maximum length or width of a piece is 5, you can't cut 11 into only two pieces.  You have to go with 3 and 3*3=9.
  Posted by Jer on 2017-03-14 12:12:47
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