Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

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
  1. binary3i Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\sqrt{125}\]

    • 2 years ago
  2. FoolForMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    No.

    • 2 years ago
  3. rebeccaskell94 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Is it a flying ant?

    • 2 years ago
  4. FoolForMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    No, no :)

    • 2 years ago
  5. apoorvk Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    4 + sqrt(61)

    • 2 years ago
  6. ninhi5 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    sqr 74

    • 2 years ago
  7. FoolForMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    No No, http://www.nooooooooooooooo.com/

    • 2 years ago
  8. Callisto Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    No......

    • 2 years ago
  9. FoolForMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Read the question carefully Parth.

    • 2 years ago
  10. ninhi5 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    sqr 117

    • 2 years ago
  11. FoolForMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Bingo ninhi5! \(\sqrt{117} \) is the right answer.

    • 2 years ago
  12. ninhi5 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    hooray

    • 2 years ago
  13. Arnab09 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    15

    • 2 years ago
  14. apoorvk Group Title
    Best Response
    You've already chosen the best response.
    Medals 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
  15. apoorvk Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Now where am I wrong?

    • 2 years ago
  16. SmoothMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |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.

    • 2 years ago
  17. ninhi5 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    dont make it over complicated :)

    • 2 years ago
  18. apoorvk Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh damn! I completely forgot that !! :/ Damn my soul

    • 2 years ago
  19. FoolForMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    There are only 3 possible roots, consistent to Smooth's diagram.

    • 2 years ago
  20. binary3i Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1338145571548:dw|

    • 2 years ago
  21. Ishaan94 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    11.7? lol

    • 2 years ago
  22. Ishaan94 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh No :(

    • 2 years ago
  23. FoolForMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    @ninhi5: Can you post the explanation?

    • 2 years ago
  24. SmoothMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 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+-+%286-x%29%2F%28sqrt%28%286-x%29%5E2%2B16%29%29%29+%3D0%2Cx

    • 2 years ago
  25. binary3i Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\sqrt{117}\]

    • 2 years ago
  26. ninhi5 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    i just use pythogorean theorem

    • 2 years ago
  27. SmoothMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 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
  28. ninhi5 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    My new question guys

    • 2 years ago
  29. rebeccaskell94 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    can antonia travel around the outside of the box?

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.