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What is the shortest distance an ant can walk from one vertex of a cube, whose side length is 1cm, to the opposite vertex?

 Jun 8, 2016
 #1
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Sqrt(2) cm=would be the shortest distance.

 Jun 8, 2016
 #2
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Walking through two adjacent sides of a cube to get to the opposite vertex of the cube:  

     x2  =  12 + 22     --->     x2  =  1 + 4     --->     x2​  =  5     --->     x  =  sqrt( 5 )

 Jun 9, 2016

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