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yashar806
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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.
 2 years ago
 2 years 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.
 2 years ago
 2 years ago

This Question is Closed

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
You did well. Excellent work!
 2 years ago
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