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The dimension of a geometric object is the number of independent parameters needed to specify a point on that object.  

The dimension of a geometric object is the number of independent parameters needed to specify a point on that object.  

For example, a line is 1-dimensional, since if you fix an initial point on the line, and choose an orientation for the line (a notion of right and left), then every point on the line may be identified in terms of a single parameter, namely, that point's distance to the right or left from the initial point.

For example, a line is 1-dimensional, since if you fix an initial point on the line, and choose an orientation for the line (a notion of right and left), then every point on the line may be identified in terms of a single parameter: that point's distance to the right or left from the initial point.

Similarly, the surface of a sphere is 2-dimensional, since one requires 2 independent parameters to specify the location of a point on the surface: the latitude and longitude.

Similarly, the surface of a sphere is 2-dimensional, since one requires 2 independent parameters to specify the location of a point on the surface: the latitude and longitude.