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Previous Issues Vol 3, No 5 Answers
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ANSWERS TO
CUBE PUZZLE

by Bill Graham

3x3 wood cube
length of sideno paintone face two facesthree faces
20008
316128
4824248
52754368
10512384968
n(n-2)36(n-2)2 12(n-2)8

The cubes with no paint form a smaller cube in the interior of the large cube. Each side of the smaller cube is 2 in. less than the large cube. The cubes with paint only on one face form a square on the six faces of the larger cube. The cubes with paint on two faces are found on the 12 edges of the larger cube. There are always eight cubes in the corners of the large cube with paint on three faces.


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