1. A rectangular box, with the base twice as long as it is wide, is to be constructed from a cardboard. If the surface area of the box is 1200 square inches use the steps below to find the dimensions of the box with the largest volume. Assume the box has a top!

a) Express the volume in terms of appropriate variables. Indicate selection of variables in the diagram below:

b) Use the available information to reduce the number of variables to one in the expression of the volume obtained in (a).

c) Using methods of calculus to solve the problem.