Answer to Question #77515 in Math for Rajeeb

Question

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 a
t a distance xcm from one of its ends)
.
(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.