An ant lives on the surface of a cube with edges of length 7cm. It is currently
located on an edge x cm which is 2cm 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 which is also equal to 2 cm from one
of its ends)
(i) What is the length of the shortest route to the grain if x = 2cm? How many routes of
(ii) Find an x for which there are four distinct shortest length routes to the grain.
what r the steps followed?
(I) The shortest way is 2+7+7+2 = 18 sm. There are 2 such ways. (II) For x=3.5 sm (middle of the edge) there are 4 such ways.
(i) Ant first move to the corner then move through the diagonal to the corner nearest to the grain then move to the grain. Total distance covered = 2+length of diagonal+2 =4+sqrt(7*7+7*7) =4+9.8995 =13.8995
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