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FoolForMath
Group Title
Another super easy problem,
If an ant wants to crawl over the rectangular block of dimensions \( 6\times5\times4 \) from one vertex to a diagonally opposite vertex, what is the shortest distance it would need to travel?
 2 years ago
 2 years ago
FoolForMath Group Title
Another super easy problem, If an ant wants to crawl over the rectangular block of dimensions \( 6\times5\times4 \) from one vertex to a diagonally opposite vertex, what is the shortest distance it would need to travel?
 2 years ago
 2 years ago

This Question is Closed

binary3i Group TitleBest ResponseYou've already chosen the best response.1
\[\sqrt{125}\]
 2 years ago

rebeccaskell94 Group TitleBest ResponseYou've already chosen the best response.1
Is it a flying ant?
 2 years ago

FoolForMath Group TitleBest ResponseYou've already chosen the best response.1
No, no :)
 2 years ago

apoorvk Group TitleBest ResponseYou've already chosen the best response.0
4 + sqrt(61)
 2 years ago

FoolForMath Group TitleBest ResponseYou've already chosen the best response.1
No No, http://www.nooooooooooooooo.com/
 2 years ago

FoolForMath Group TitleBest ResponseYou've already chosen the best response.1
Read the question carefully Parth.
 2 years ago

FoolForMath Group TitleBest ResponseYou've already chosen the best response.1
Bingo ninhi5! \(\sqrt{117} \) is the right answer.
 2 years ago

apoorvk Group TitleBest ResponseYou've already chosen the best response.0
The ant needs to travel one side, and one diagonal. We have three cases: side '4' + diagonal of (6 and 5) = 4 + sqrt61= 11.something side '6' + diagonal of (4 and 5) = 6 + sqrt41= 12.something side '5' + diagonal of (4 and 6) = 5 + sqrt52 =12.something hence shortest = 4 + sqrt61
 2 years ago

apoorvk Group TitleBest ResponseYou've already chosen the best response.0
Now where am I wrong?
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.1
dw:1338100316725:dw\[\sqrt{x^2 + 5^2} + \sqrt{(6x)^2 + 4^2}\] By the pythagorean theorem, the sum of those two diagonals is: To minimize this distance, derive and set equal to 0.
 2 years ago

ninhi5 Group TitleBest ResponseYou've already chosen the best response.1
dont make it over complicated :)
 2 years ago

apoorvk Group TitleBest ResponseYou've already chosen the best response.0
Oh damn! I completely forgot that !! :/ Damn my soul
 2 years ago

FoolForMath Group TitleBest ResponseYou've already chosen the best response.1
There are only 3 possible roots, consistent to Smooth's diagram.
 2 years ago

binary3i Group TitleBest ResponseYou've already chosen the best response.1
dw:1338145571548:dw
 2 years ago

FoolForMath Group TitleBest ResponseYou've already chosen the best response.1
@ninhi5: Can you post the explanation?
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.1
I let Alpha do the derivation and optimization for me. http://www.wolframalpha.com/input/?i=solve+%28x%2F%28sqrt%28x%5E2%2B25%29%29++%286x%29%2F%28sqrt%28%286x%29%5E2%2B16%29%29%29+%3D0%2Cx
 2 years ago

binary3i Group TitleBest ResponseYou've already chosen the best response.1
\[\sqrt{117}\]
 2 years ago

ninhi5 Group TitleBest ResponseYou've already chosen the best response.1
i just use pythogorean theorem
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.1
So x = 10/3, giving this distance: http://www.wolframalpha.com/input/?i=sqrt%28%2810%2F3%29%5E2%2B5%5E2%29%2Bsqrt%28%286%2810%2F3%29%29%5E2%2B4%5E2%29
 2 years ago

ninhi5 Group TitleBest ResponseYou've already chosen the best response.1
My new question guys
 2 years ago

rebeccaskell94 Group TitleBest ResponseYou've already chosen the best response.1
can antonia travel around the outside of the box?
 2 years ago
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