Geometry You want to make an open box from a rectangular
Chapter , Problem 3.4.111(choose chapter or problem)
Geometry You want to make an open box from a rectangular piece of material, 15 centimeters by 9 centimeters, by cutting equal squares from the corners and turning up the sides. (a) Let represent the side length of each of the squares removed. Draw a diagram showing the squares removed from the original piece of material and the resulting dimensions of the open box. (b) Use the diagram to write the volume of the box as a function of Determine the domain of the function. (c) Sketch the graph of the function and approximate the dimensions of the box that will yield a maximum volume. (d) Find values of such that Which of these values is a physical impossibility in the construction of the box? Explain.
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