Answer: Ummm... three dimensional means three dimensions.
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A parallelogram is a two-dimensional figure, so it has two dimensions.
In the common use of the phrase "geometric solid", the answer is three. In advanced mathematics, dimensions greater than three are also studied. In many cases, the name of a plane (two-dimensional) figure has the ending "-gon" as in "hexagon", while the name of a solid figure (three dimensional) has the ending "-hedron" as in tetrahedron.
It depends on how many dimensions you are asking about. If you are talking about a 2-dimensional figure then it would be a circle. The definition of a circle is the collection of points that are equidistant from the center. If you are talking about a 3-dimensional figure, then it would be a sphere. The definition of a sphere is the collection of points in three dimensions that are equidistant from the center.
Three
2