# Answer to Question #7374 in Geometry for gaurav

Question #7374

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?

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?

Expert's answer

(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.

(II) For x=3.5 sm (middle of the edge) there are 4 such ways.

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## Comments

Assignment Expert11.11.15, 16:59Dear Harmi.

Thank you for correcting us.

Harmi05.11.15, 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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