CAT Quantitative Ability Questions | CAT Mensuration questions

CAT/2003

Question . 49

A square tin sheet of side 12 inches is converted into a box with open top in the following steps: The sheet is placed horizontally; Then, equal sized squares, each of side x inches, are cut from the four corners of the sheet; Finally, the four resulting sides are bent vertically upwards in the shape of a box. If x is an integer, then what value of x maximizes the volume of the box?

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Method of solving this CAT Quantitative Ability Question from Mensuration question