perplexus.info :: Shapes : Cuboid Diagonal Conclusion

Cuboid Diagonal Conclusion (Posted on 2014-09-01)

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 (2 votes)

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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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