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The volume of an open-top box is . The length of the base is twice the width.  

  1. Sketch a labeled diagram.

    Sketch a box. Label the height and the sides of the base and .

  2. Express the total outside surface area, , in terms of the width, . Simplify.

  3. What width will minimize the surface area?

    Graph your function from part (b) and locate the minimum point.