From flat nets to solids

A net lays out all faces of a solid so that folding shared edges forms the solid without overlaps or gaps. Adjacent edges must have matching lengths. Count and identify the faces, then imagine folding them about shared edges.

Example

This cube net has a strip of four squares and two additional squares on opposite sides of the strip.

A triangular prism needs two congruent triangles and three rectangles. The rectangle widths match the three triangle sides; their common length is the prism length. A square-based pyramid needs a square and four triangles. A collection with the right face count can still fail if faces overlap when folded.