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anonymous
 one year ago
2700 of material is avaiblr to make a boc with a square base and a open top. determine the largesst volume of the box
anonymous
 one year ago
2700 of material is avaiblr to make a boc with a square base and a open top. determine the largesst volume of the box

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the open top thing is confusing me

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i am only missing 2700 cm2

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433741377518:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0surface area of box = (surface area of base) + (surface area of sides) = x^2 + 4xh we're given surface area equals 2700, so \[x^2+4xh=2700\tag{1}\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0next, see if you can write an expression for the volume of box

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0o yea i think the SA formula was confusing me how do u get it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 is the vloume=lwh

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0for surface area, you just add up the areas of all the sides

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0how many sides does that box have ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0careful, it has no top

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0there is one base, which is a square and four lateral sides

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0so in total it has 5 faces

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0whats the area of base ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0Yes, area of base = \(x^2\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0next notice that each lateral face has same dimensions : width = x height = h

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433742821286:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0what is the area of that lateral face ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0since the box has four lateral faces, the lateral area is simply \(4*xh\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0so do you get how i arrived at the surface area equation \((1)\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0the expression for volume would be \[V = x*x*h = x^2h\tag{2}\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0solve \(h\) from first equation and plug it in abvoe

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what does the open top do ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0it does nothing, do you have "h" from first equation ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0from first equation, \[x^2+4xh=2700\\~\\\implies 4xh=2700x^2\\~\\\implies h = \frac{675}{x}\frac{x}{4}\] yes ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okey yea i tryed it and my final answer is 135000 , what u get ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0do you mean 13500 ? http://www.wolframalpha.com/input/?i=maximize+x*%282700x%5E2%29%2F4%2Cx%3E0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the open top is just for confusing ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i should ignore it the next time i see it ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0what do you mean you should ignore it

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0the surface area changes if it was not open top

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how would it look like then ?
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