Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
yashar806
Group Title
an open top box with a square base has volume V=4m^3. Find the dimensions of the box so that it uses the least amount of material.
 one year ago
 one year ago
yashar806 Group Title
an open top box with a square base has volume V=4m^3. Find the dimensions of the box so that it uses the least amount of material.
 one year ago
 one year ago

This Question is Closed

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
Can you describe the total surface area?
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
im not sure
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
What is the measure of one side of the square base? If it is not given in the problemn statement, just name it something so we can talk about it.
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
v= x^2 *y
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
which will be y= 4/x^2
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
am I right?
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
Well, it's okay, but I personally find it a little unsatisfactory for one reason. You did not tell us what you were doing. had you done this first, i woudl ahve been delighted. x = measurement of the side of the base y = measurement of the height of the box. You have discussed the volume. Now you need to discuss the surface area. Remember that it does not have a lid.
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
I dont know how to find the surface area
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
Yes, you do. First, do we know WHY we need to talk about the surface area? Read the problem statement again and give me a clue.
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
A= 2xy+2xy+2x^2 ?
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
A=x^2+2xy+2xy
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
A=X^2 + 16/x ?
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
There you go again, just blurting out equations without describing what you are doing. :) So, who was right about you knowing how to find the Surface Area? Good work! What's next?
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
take the derivative
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
That's it. What do you get?
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
2x 16/x^2
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
Perfect. Next?
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
find the domain ?>
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
0 to infinity ?
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
then make it equal to 0
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
i got x=2
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
?? I suppose. It's a REAL box, so x > 0. Infinity is probably not good. \(yx^{2} = 4\). It will be a very flat box if x > 5 or so. :et's just keep that in mind and find where that derivative is zero (0).
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
Yes, x = 2 is the only Real Solution.
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
Now, and finally, answer the original question. At this point, most folks have forgotten what the question was!
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
box measures 2m*2m height of he box is 1m
 one year ago

yashar806 Group TitleBest ResponseYou've already chosen the best response.0
thank you
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
You did well. Excellent work!
 one year ago
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
 Engagement 19 Mad Hatter
 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.