area is the amount of space on a flat or 3d figure
A a solid figure on a flat surface is a plane figure (I do believe)
the flat surfaces of a solid figure are the
One of the figure which has no flat surface is Sphere.
No. An area is always two-dimensional. It doesn't matter whether you are talking about the area of a square, a circle, an ellipse, or any other flat figure; or the surface are of a three-dimensional figure such as a cube or sphere.