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Thread: What is the formula to get the highest volume on a sheet

  1. #1 What is the formula to get the highest volume on a sheet 
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    Well I did this in Algebra 2 like 4 years ago... So I don't remember that much

    Well the equation would tell you that from leght and height of a sheet of paper you could make a box with the maximum volume posible

    All I remember is that you place the height and the wigth on the formula and then the calculator would graph the equation. Then all you needed is to find the highest point.


    If there was no religion in which Gods would be the main issue, war would now be a fight agaist the best scientific theory.
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  3. #2 Re: What is the formula to get the highest volume on a sheet 
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    Quote Originally Posted by itstemo1
    Well I did this in Algebra 2 like 4 years ago... So I don't remember that much

    Well the equation would tell you that from leght and height of a sheet of paper you could make a box with the maximum volume posible

    All I remember is that you place the height and the wigth on the formula and then the calculator would graph the equation. Then all you needed is to find the highest point.
    Are you required to use the whole area - or are you restricted to a 'best fit' solution, the answers will be very different.


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  4. #3  
    Moderator Moderator AlexP's Avatar
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    I literally just did this in Pre-Calc ("just" meaning within a day or two).

    x is one of the turned-up sides (if that makes sense). then you need the length and width of the piece of paper. I'll use 18 and 10 as examples. from there it goes like this...

    y=x(18-2x)(10-2x) graph that. in this case, your length must be less than 9, and your width must be less than 5, or it's not possible to make a box with the paper. so, ultimately, 0<x<9. by the way, i'm just explaining this how i know how to do it on my calculator, which is a TI-83+ (same thing without the +). So, set your window for a X-min of 0 and an X-max of 9. Then find the maximum value (at the top of the curve). That's the Y-value, so find the X-value that goes with it, and that's your answer. I'm pretty sure that's right, someone correct me if I'm wrong. Hope I helped.
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  5. #4  
    Forum Freshman lince!'s Avatar
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    agree...
    the best way is calculus, anyway.
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  6. #5  
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    Hmmm oh well

    I got my TI-89 Titanium backing me up
    If there was no religion in which Gods would be the main issue, war would now be a fight agaist the best scientific theory.
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    Forum Sophomore L.E.A.P.'s Avatar
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    TI-89 Titanium
    Titanium?!?!?!, there's already the platinium editium and what now, Titanium?!?!?! Boy! These guys have to find something to do in their passtime and stop building new calculator models!

    Sory, off subject... If you could bend a sheet of paper on it's self for 52 times, you could reach the sun! 1 AU.
    P------------y--------------i----------------s
    ------h-------------s----------------c

    Alternate energy... or should we rather say alternate life?

    Are you interested in scientific high school projects? If you are, please contact me!

    "I must say that determination, devotion, and taking on challenges bigger then yourself is the way to become a master at anything" L.E.A.P.
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