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Cuboid Diagonal Conclusion (Posted on 2014-09-01) Difficulty: 3 of 5
A 150x324x375 cuboid is made by gluing together 1x1x1 cubes.

An internal diagonal of this cuboid passes through the interiors of how many 1x1x1 cubes?

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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Solution The correct answer Comment 4 of 4 |

The correct answer is

N = 149 + 323 + 374 - GCD(150,324) - GCD(150,375) - GCD(324,375) + 2*GCD(150,324,375)
= 768


  Posted by Ady TZIDON on 2015-09-28 07:47:09
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