Answer to Question #38320 in Geometry for Nethra

Question #38320

An ant lives on the surface of a cube with edges of length 7cm. It is currently
located on an edge x cm from one of its ends. While traveling on the surface of the
cube, it has to reach the grain located on the opposite edge (also at a distance xcm from
one of its ends) as shown below.
(i) What is the length of the shortest route to the grain if x = 2cm? How many routes
of this length are there?
(ii) Find an x for which there are four distinct shortest length routes to the grain.

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