College Algebra Unit A Challenge Problem 1 Name Directions: Show all work and reasoning to receive full credit. a) The length, width, and height of a rectangular prism are 2x 3, x 6 , and x 2 respectively. Determine an equation for the volume and an equation for the surface area of the prism in terms of x. Write your answers in standard form. b) If the volume of the rectangular prism in problem 1 is 30 cubic meters, find the surface area of the prism to the closest thousandth.