akathuria19
  • akathuria19
HELP PLEASE! An open rectangular box with a square bottom must have a surface area of A square inches. Write a formula for the volume of the box as a function of x. Your answer will also include the constant, A.
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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akathuria19
  • akathuria19
anonymous
  • anonymous
lets call the height \(h\) then \[x^2+4xh=A\] solve that for \(h\)
anonymous
  • anonymous
the volume will be \[V=x^2h\] once you have solved \(x^2+4xh=A\) for \(h\) you can substitute it back in to the formula for the volume

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akathuria19
  • akathuria19
I get h = ((A/x)-x)/4 Then plugged in it looks like: V = x^2((A/x)-x)/4)

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