A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Minimum surface area box: All boxes with a square base and a volume of 50ft^3 have a surface area give by S(x) = 2x^2 + 200/x, where x is the length of the sides of the base. Find the absolute minimum of the surface area function. what are the dimensions of the box with minimum surface area. I found the minimum surface area = (200/4)^1/3, but i failed to find the dimensions of the box.

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How did you find the minimum surface area?

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

    by taking the derivative of S(x), and equate it to zero

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    And then you solved for?

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x...oh! so thats the dimension?

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so i plug in the x value into s(x) to find out the minimum surface area, and then plug in to V=50ft^3 to find out the height of the box?

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, that's a dimension certainly. Probably the length:width of the square base.

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah.

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks!

  9. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.