A cuboid and a pyramid for examples.
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Both are 3-dimensional figures wiith a curved surface.
A face is a flat surface of a 3 dimensional figure.
A curved surface is like imagining a sheet of paper that is bent or a flag waving in the wind. A curved edge is like an elastic stick bent in one(C curve) or more points(S curve). The curved surface beeing 3 dimensional(3D) and the curved edge 2 dimensional(2D) unlike the simple surface and edge which are 2D respectively 1D.
If it's a 3 dimensional shape then it is volume otherwise it is surface area
No. A polygon is a 2-dimensional figure. A polyhedron is 3-dimensional.