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akathuria19

  • one year ago

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.

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  1. akathuria19
    • one year ago
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  2. anonymous
    • one year ago
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    lets call the height \(h\) then \[x^2+4xh=A\] solve that for \(h\)

  3. anonymous
    • one year ago
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    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

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

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