1. From a piece of cardboard that is 24 cm by 48 cm, cut equal squares out of the comers. Foldup the sides to form an open box. Determine the height of the box that will give the maximumvolume. What is the objective? Let it be V(x), where x is the height of the box. Use x as the control variable. Sketch the cardboard and mark the important details. Sketch the open box and label the important parts. What function accurately models this problem? How high can the box be? Express your answer in interval notation. what height will give the box a maximum volume?

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