An ice cube is freezing in such a way that the side length s, in inches, is s of t equals one half times t plus 2 comma where t is in hours. the surface area of the ice cube is the function a(s) = 6s2.
part a: write an equation that gives the volume at t hours after freezing begins. (2 points)
part b: find the surface area as a function of time, using composition, and determine its range. (4 points)
part c: after how many hours will the surface area equal 216 square inches? show all necessary calculations. (4 points