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in Class XII Maths by (-2,838 points)

An open box with square base is to be made of a given quantity of card board of area c2. Show that the maximum volume of the box is c3/6√3 cubic units.  

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Let the length of side of the square base of open box be x unit and its height be y units.
∴ Area of the card board used = x2 + 4xy
∴ x2 + 4xy = c2 (given).

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