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A room has dimensions 3m*4m*5m. A fly starting at one corner ends up at a diametrically...

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bobbyroychoud... | Salutatorian

Posted October 25, 2013 at 7:01 PM via iOS

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A room has dimensions 3m*4m*5m. A fly starting at one corner ends up at a diametrically opposite corner. What is the magnitude of its displacement?

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tiburtius | High School Teacher | (Level 3) Associate Educator

Posted October 25, 2013 at 7:26 PM (Answer #1)

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You need to calculate the distance traveled by the fly. That distance is actually spatial diagonal of the room. Formula for space diagonal of cuboid is

`d=sqrt(a^2+b^2+c^2)`

where `a,b,c` are lengths of the edges of the cuboid. So in your case you have

`d=sqrt(3^2+4^2+5^2)=sqrt(50)=5sqrt(2)`  

The displacement is `5sqrt(2)"m"approx7.071"m".`

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