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
this length are there?javascript:void(0)
(ii) Find an x for which there are four distinct shortest length routes to the grain.
what r the steps followed?
1
Expert's answer
2012-03-13T09:42:35-0400
(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.
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Comments
Assignment Expert
11.11.15, 16:59
Dear Harmi. Thank you for correcting us.
Harmi
05.11.15, 11:33
(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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Comments
Dear Harmi. Thank you for correcting us.
(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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