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A box open from top is made from a recta...

A box open from top is made from a rectangular sheet of dimension a `xx` b by cutting squares each of side x from each of the four corners and folding up the flaps. If the volume of the box is maximum, then x is equal to :

A

`(a+b -sqrt(a^(2)+b^(2) -ab))/(12)`

B

`(a+b +sqrt(a^(2)+b^(2) -ab))/(6)`

C

`(a+b -sqrt(a^(2)+b^(2) +ab))/(6)`

D

`(a+b -sqrt(a^(2)+b^(2) -ab))/(6)`

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