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A piece of paper cut into the shape shown can be folded into a cube with a side length \(l\).

1. Assuming that the shape can be cut from the piece of paper, what is the minimum area of a piece of paper that can be used to make a cube with side length \(l\)?
   
   
   
2. Graphically represent all areas of paper that could be used to make a cube with side length \(l\).
   
   
   
   
3. Select a point from the solution region and explain why it is a solution.