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MC II-B 3D Geometry Problem 16

 
 
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MC II-B 3D Geometry Problem 16
ZhangHenry - 2020年10月24日 Saturday 01:04
 

In the 2×2×2 cubic figure below, if the path is required to be along the surface of the cube, what is the length of the shortest path from point A to B. This length can be expressed in the form K‾‾√ for an integer K. What is K?

I saw the solution, but I am slightly confused as to how we know it is the shortest one

thanks

 
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Re: MC II-B 3D Geometry Problem 16
ProfessorAreteem - 2020年10月26日 Monday 13:04
 

The solution follows from the fact that the shortest path between two points is a straight line. Since we are only allowed to travel on the faces of the cube, unfolding the cube into the plane gives us the shortest possible path between the two points.

 
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ZhangHenry的头像
Re: MC II-B 3D Geometry Problem 16
ZhangHenry - 2020年10月26日 Monday 15:54
 
ok I see now, thanks!
 
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