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Unit Cube Paint Undertaking (Posted on 2016-09-28) Difficulty: 3 of 5
N unit cubes are assembled to form a larger cube (N is a positive integer.)

In the larger cube thus assembled, some of the faces are then painted.

The cube is now taken apart and it is found that 271 of the unit cubes have paint on them.

Find N.

No Solution Yet Submitted by K Sengupta    
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Some Thoughts Interesting. | Comment 1 of 6

I don't think that there is any such cube.

The closest are a size 10 size cube with 3 faces on a single corner, which has 271 painted unit cubes, or a size 12 cube with 2 adjacent sides painted, for a total of 276 painted unit cubes.

  Posted by broll on 2016-09-28 12:17:39
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