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# Differentiation and Its Applications Questions and Answers

A rectangular box open at the top has a square base. The internal side of the base is x cm long and the total internal surface area of the box is 432 cm^2
a) Express in terms of x
i).The internal height, h of the box.
ii).The internal volume, V of the box.
b).Find:
i).The value of x for which the internal volume V box is maximum.
ii).The maximum internal volume of the box.

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