Question 12
(02.03, 02.04 HC)

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.

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.