Henry Ernest Dudeney/Modern Puzzles/146 - The Cardboard Box

by : $146$

 * The Cardboard Box
 * If I have a closed cubical cardboard box, by running the penknife along seven of the twelve edges (it must always be seven)
 * I can lay it out in one flat piece in various shapes.


 * Dudeney-Modern-Puzzles-146.png


 * Thus, in the diagram, if I pass the knife along the darkened edges and down the invisible edge indicated by the dotted line, I get the shape $A$.
 * Another way of cutting produces $B$ or $C$.
 * It will be seen that $D$ is simply $C$ turned over, so we will not call that a different shape.
 * Now, how many shapes can be produced?