A Cylinder
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A cuboid has 6 flat faces but no curved surfaces. ..________ ./............../| /_______/.| |..............|.| |..............|./ |_______|/
Cylinder
A prism has no curved surfaces. It has 5 or more flat faces.
There can be no such shape. If there were a shape with n flat surfaces, then if you sliced off one vertex, you would have a shape with n+1 flat surfaces. So it is always possible to add one more flat surface.
When a curved surface is represented on a flat surface, usually either distances or directions must be distorted. Various "projections" exist to minimize these distortions in whatever way is important to the cartographer.