A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $20 per square meter. Material for the sides costs $12 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.) I got $236.15 Im not sure if its right, could someone check my answer please!

  • This Question is Closed
  1. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    HI!

  2. triciaal
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1436037958423:dw|

  3. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i got $206 not $236 but i could have made a mistake

  4. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if you call the length of the base x and the height h, then via \[2x^2h=10\] you get \[h=\frac{5}{x^2}\]

  5. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i got for the total cost \[40x^2+36xh\] which when substuting gives \[40x^2+\frac{180}{x}\]

  6. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but like i said, i did it rather quickly so i might have made an error

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

    Someone just showed me all of the work and got $327.08 but thank you!

  8. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you sure it is right?

  9. triciaal
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    base area = 2w^2 height = like Misty1212 = 5/w^2

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah it was right, I typed it in and it is 327.08

  11. triciaal
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    area of the sides = perimeter * height = 2(l + w) *h 6w*5/w^2 = 30/w

  12. 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.