The Shortest Route

Level pending

What is the square of the distance of the shortest possible route which Brilli The Ant can take to travel between two diagonally opposite vertices of a cuboid with sides 13.9 meters , 19.7 meters and 25.4 meters.

1) 1774.12

2) 1932.58

3) 1977.97

4) 2227.22

Details and Assumptions ::

Ants cannot fly.

Here diagonally opposite refers to a body diagonal ( not a face diagonal )

1 4 3 2

Sanjay Banerji by Sanjay Banerji , 26, India

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3 solutions

Santanu Banerjee
Dec 19, 2013

The answer is actually the sqrt of(1st option)

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Hey....the question asks for the square only...you probably misread it...

Tanya Gupta - 7 years, 3 months ago

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They changed the initial wrong question ...

Santanu Banerjee - 7 years, 2 months ago

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Sorry...my bad...didnt know about it!!

Tanya Gupta - 7 years, 2 months ago
Priyanka Banerjee
Dec 21, 2013

The question should actually ask for the square of the minimum distance since the option is the square of the actual answer ::

sqrt(1774.12) === 42.12

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Krishna Garg
Apr 13, 2014

We first find out base diagonal length by taking ssquares of two adjacent sides since it is right angled trianle. Now,taking vertex of two diagonally opposit of cuboid we find out length of diagonal ( again a right angled triangle by squaring up the trird side and diagonall estimated in first step and get vaue mentioned in 1). K.K.GARG.India

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