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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.

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
N=1000.

For an explanation, refer to the computer program assisted solution by Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Considering all the possibilitiesbroll2016-09-29 11:10:44
re: Considering all the possibilitiesJer2016-09-29 07:27:30
re(2): Interesting.broll2016-09-28 23:47:50
SolutionConsidering all the possibilitiesCharlie2016-09-28 15:29:47
re: Interesting.Charlie2016-09-28 12:23:22
Some ThoughtsInteresting.broll2016-09-28 12:17:39
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