Latest TCS Aptitude Question SOLUTION: # 9 An ant lives on the surface of a regular tetrahedron with edges of length 5cm. It is currently at the midpoint of one of the edges and has to travel to the midpoint of the oppo

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# 9
An ant lives on the surface of a regular tetrahedron with edges of length 5cm. It is currently at the midpoint of one of the edges and has to travel to the midpoint of the opposite edge. What is the length (in cm) of the shortest route to the destination assuming the ant can only travel along the surface of the tetrahedron? (Note: 2 edges in a tetrahedron are said to be opposite if they don't share any endpoints).

2.5*√3
2.5*(1 + √3)
7.5
5
2.5*√2

Asked In TCS NITISH KUMAR (10 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

Vinay Jain  (10 years ago)

The answer is 5, and here is the explanation

But first lets see what a regular tetrahedron is:- It has four equilateral triangles, one at the base and other three stand on the edges of the base triangle and meet each other at the top.
See this to clear confusions:- http://www.youtube.com/watch?v=Aro-_wFUpFo

Since the ant is at the midpoint of one edge and it want to go to midpoint of another edge it has to travel :
(From midpoint of source edge to the common vertex) + (from common vertex to midpoint of destination edge)

2.5 + 2.5 = 5 cm Ans

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chandan kumar  (10 years ago)

ans is 5
because the surface of the tetrahedron is a square so opposite edge midpoint is away 5cm from initial edge mid point.it means distance between two opposite edge=length of edge in tetrahedron at base of tetrahedron.

Is this solution Helpfull? Yes (6) | No (5)  

Chandra Bhatt  (10 years ago)

(2.5+2.5) = 5cm

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ankit sethi  (10 years ago)

as it is gven in that opposite do not have the common point . How the solution came to be 5. I suppose it will be 7.5

Is this solution Helpfull? Yes (2) | No (1)  

Pratyusha Bhadra  (10 years ago)

i thnk it is 10 cm.as the edges shld not hv any common end point so the ant has to travel=2.5+5+2.5 cm=10cm

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sachin rawka  (10 years ago)

Answer is 2.5(1 + sqrt3)

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