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Clac Help!!!!!!!!!!!!!!!?

A box with a square base and open top must have a volume of 4000 cm3. Find the dimensions of the box that minimize the amount of material used.???

If ya get it to me quick ill give ya the pts?

1 Answer

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  • 1 decade ago
    Favorite Answer

    Vol = x^2*h

    Material = base + 4 sides = x^2+4*x*h

    h = Vol/x^2

    Material = x^2+4*x*(Vol/x^2) = x^2+4*Vol/x

    differentiate dMaterial/dx and at minimum = 0.

    Find x, knowing vol = 4000.

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