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Yes there is. 2D objects are flat objects that only have a length, width, and area. 3D objects include a height and volume.
Shadows
That depends on the objects under consideration of which none have been given but in general 2D objects have 3 or more sides as for example polygons.
A Mobius Strip. A Klein Bottle has one face in 3D modeling plus all 2D objects have 1 face.
I guess the result could be any 2d shape, depending on the 3d shape you slice.