A central composite design (CCD) is the quintessential response surface design. The CCD was introduced by Box and Wilson more than 65 years ago, while working at Imperial Chemical Industries, to study the, possible nonlinear, relationship between a response and a set of experimental factors. These types of designs are typically used to find the optimal operating conditions for a given process. In this talk we discuss how central composite designs can also be used to study both the operating and characterization ranges of a set process parameters, by taking advantage of the intrinsic 5-levels of CCD designs. We also discuss how the lack-of-fit test in a CCD can be used to test for cubic terms that may improve the response surface approximation.