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anonymous
 5 years ago
Chocolate Box Company is going to make opentopped boxes out of 9 × 14inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way?
anonymous
 5 years ago
Chocolate Box Company is going to make opentopped boxes out of 9 × 14inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way?

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.092x = width 142x = length x = height Area of a box is: WLH A = (92x)(142x)(x) A = (92x)(14x2x^2) A = 126x 18x^2  28x^2 +4x^3 A = 4x^3 46x^2 +126x get the derivative and solve it for 0: Dx(A) = 12x^2 92x +126 = 0 This would be easier if I had pencil and paper handy :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the answer will have to fall between 0 and 9, so we can throw out anything that is out of those bounds.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x^2  (92/12)x +(92/24)^2 = (126/12) + (92/24)^2 (x  (92/24))^2 = (6048/576) + (8464/576) x  92/24 = +sqrt(2416)/24 x = +sqrt(2416)/24 + 92/24 x = 5.881 or x= 1.785 remember that x is doubled; so 5.88 doubled is over 9 I would say that x would be about 1.785 :=: 2 A = (92(2)) (142(2))(2) A = (5)(10)(2) A = 25 cubic inches if I did it right :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0And of course I would forget how to multiply after all that ... lol 5(10) = 50; 50(2) = 100 A equals about 100 cubic inches....

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0101.09329869793039430976432210189 if you want to be more accurate :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0THANK YOU!!! Amistre64 it was right...your a life saver.
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