anonymous
  • anonymous
Best Dimensions for a Box. A box, open at the top with a square base, is to have a volume of 8000 cubic centimeters. What should the dimensions of the box be if the amount of material used is to be a minimum?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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dumbcow
  • dumbcow
let x be side of square, h is height of box volume = h*x^2 = 8000 surface area = x^2 + 4xh get surface area in terms of x, --> h = 8000/x^2 --> SA = x^2 + 32,000/x take derivative and set equal to 0 --> 2x - 32,000/x^2 = 0 --> 2x^3 = 32,000 --> x = 25.198
anonymous
  • anonymous
I had the volume part correct I just didnt know what to do from there thank you!!!!!
dumbcow
  • dumbcow
your welcome

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