Yes, because it has depth.
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It is a cube
No, a cube is three dimensional. (A "line" is one-dimensional; one dimension, it's just a length), a square is the two-dimensional (width and height) "version" of a cube).
It cannot. A square is a two dimensional shape whereas a cube is three dimensional.
A cube is specifically a three-dimensional object in geometry and therefore cannot be two-dimensional.
Something that is not flat. A cube is three-dimensional, but a square is not. A sphere is three-dimensional, but a circle is not.