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An object cannot be 3-dimensional and plane at the same time since the term "plane" refers to 2-dimensional objects, such as geometric figures drawn on a sheet of paper.

However, certain 3-dimensional objects, for instance a cube, are comprised of 2-dimensional (plane) figures (in this case, 6 of them).

On the other hand, a sphere has no plane faces (but theortically approaches an infinite number of them) since no aspect of a sphere can be truly represented on a flat (plane) surface. For practical purposes though, each tiny portion of the sphere could be thought of as a plane figure, and a perfect example of this is a road map.

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