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Question 4Deana wants to construct an open box from a square piece of cardboard. Thecardboard has side length 50 cm. To create the box, she cuts from each corner asmaller square of side length x cm.a) Determine expressions for the dimensions of the box in terms of x.b) Determine an expression for the volume of the box.c) Sketch the graph representing the volume of the box.d) From the graph, determine the dimensions of the box that has the maximumvolume and state the corresponding maximum volume.

Fig: 1