anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
binary3i
  • binary3i
\[\sqrt{125}\]
anonymous
  • anonymous
No.
anonymous
  • anonymous
Is it a flying ant?

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More answers

anonymous
  • anonymous
No, no :)
apoorvk
  • apoorvk
4 + sqrt(61)
anonymous
  • anonymous
sqr 74
anonymous
  • anonymous
No No, http://www.nooooooooooooooo.com/
Callisto
  • Callisto
No......
anonymous
  • anonymous
Read the question carefully Parth.
anonymous
  • anonymous
sqr 117
anonymous
  • anonymous
Bingo ninhi5! \(\sqrt{117} \) is the right answer.
anonymous
  • anonymous
hooray
anonymous
  • anonymous
15
apoorvk
  • apoorvk
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
apoorvk
  • apoorvk
Now where am I wrong?
anonymous
  • anonymous
|dw:1338100316725:dw|\[\sqrt{x^2 + 5^2} + \sqrt{(6-x)^2 + 4^2}\] By the pythagorean theorem, the sum of those two diagonals is: To minimize this distance, derive and set equal to 0.
anonymous
  • anonymous
dont make it over complicated :)
apoorvk
  • apoorvk
Oh damn! I completely forgot that !! :/ Damn my soul
anonymous
  • anonymous
There are only 3 possible roots, consistent to Smooth's diagram.
binary3i
  • binary3i
|dw:1338145571548:dw|
anonymous
  • anonymous
11.7? lol
anonymous
  • anonymous
Oh No :(
anonymous
  • anonymous
@ninhi5: Can you post the explanation?
anonymous
  • anonymous
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+-+%286-x%29%2F%28sqrt%28%286-x%29%5E2%2B16%29%29%29+%3D0%2Cx
binary3i
  • binary3i
\[\sqrt{117}\]
anonymous
  • anonymous
i just use pythogorean theorem
anonymous
  • anonymous
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
anonymous
  • anonymous
My new question guys
anonymous
  • anonymous
can antonia travel around the outside of the box?

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