Suppose you have a solid rectangular box, with dimensions

Chapter 7, Problem 1

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Suppose you have a solid rectangular box, with dimensions x by 2x by 2x. a. What is its volume V(x)? If you double the value of x, from X to 2X, what happens to the volume? b. What is the surface area S(x)? If you double the value of x, from X to 2X, what happens to the surface area? c. Construct the ratio R(x) S(x)/V(x). If you double the value of x, from X to 2X, what happens to R(x)? Describe your result in terms of surface area and volume. d. As x increases, what happens to R(x) (surface area)/volume?

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