How many dimensions does a surface have?

Flat surfaces are referred to as plane surfaces, while the rest are referred to as curved surfaces. Because any object's surface is measured by an area, the dimension of the surface is also determined by the number of dimensions required to describe the area. The area of any object is known to be determined by two dimensions.

A surface is a continuous set of points that has length and breadth but no thickness. So, a surface has two dimensions.