1.A square- based rectangular prism has a volume of k cubic metres, an unknown but constant quantity. Use calculus to find a simplified expression for the smallest possible surface area. no derivative or interval test is required. Declare all variables and provided a labelled diagram.

2. The area A and width w of a rectangle are changing at known rates. Use calculus to show and briefly explain the information required to determine the rate at which the length l is changing with respect to time t at an instant.