Find the value of x such that the volume is a maximum

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Reference no: EM131067001

From a rectangular sheet of metal measuring 120 mm by 75mm, equal squares of side x are cut from each of the four corners. The remaining flaps are then folded upwards to form an open box.

(a) Draw a neat and simple diagram of the rectangular sheet of metal (not drawn to scale) and show the dimensions given including the squares of side x.

(b) Show that the volume of the box is given by:

(c) Find the value of x such that the volume is a maximum.

Reference no: EM131067001

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