An ice cube is freezing in such a way that the side length s, in inches, is s(0) 1)=2+2, +2, where t is in hours. The surface area of the ice cube is the function A(s) = 6s.
Part A: Write an equation that gives the volume at t hours after freezing begins.
Part B: Find the surface area as a function of time, using composition, and determine its range.
Part C: After how many hours will the surface area equal 216 square inches? Show all necessary calculations.
