An open box is to be made from a square piece of cardboard whose sides are 19 incheslong, by cutting squares of equal size from the corners and bending up the sides. Determine the size of the square that is to be cut out so that the volume may be a maximum.

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Decorative image.

x

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x

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19in

19in

A square with a side of length

nothing

inches should be cut away from each corner to obtain the maximum volume.

(Round to two decimal places asneeded.)