anonymous
  • anonymous
LIL BROS MATHS: I NEED HELP. Use algebra to determine the dimensions of a spare based popper box that will hold 250ml, yet has the smallest possible surface area. Use a graphics calculator and show all working out........anyone know how to do this properly? There are lots of answers.....and no google help..
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
I am going to try to solve this by hand.
anonymous
  • anonymous
haha ok....i need epic help. :-(
anonymous
  • anonymous
square box of vol 250 ml minimize: smallest possible surface area requires light algebra will attempt in morning if no one gets back to you

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anonymous
  • anonymous
If the box is square shaped, all its sides are the same length. So length=width=height volume=length x width x height. 250=x^3 x=6.30=length=width=height.
anonymous
  • anonymous
unless i interpreted this question incorrectly and "spare based popper box" does not refer to a cube.
anonymous
  • anonymous
the box isn't square shaped,it's a rectangular prism (base is square+top,but 4 faces are rectangular)
anonymous
  • anonymous
OK \[V =250=x ^{2}y\]\[y =250/x ^{2}\]\[SA =2xy+2xy+2x ^{2}=4xy+2x ^{2}\]Find derivative of SA. Minimise

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