The surface word derives from the latin superficĭes. In its most usual meaning, it concerns the extent of a flat expanse. Although this term is synonymous with area and area, should not confuse them. It is possible to calculate the area of a room, for example, and not a field. In this case, there is mention the area. The area (and not the surface) total of France, for example, is 675.417 km².
On the other hand, the surface is the appearance or the outside of something: "this table has a surface Planer, too which makes it inconvenient to eat it.
The geometry and mathematics, the surface is an extension where only two dimensions are considered, why it is said that the surface is a two-dimensional manifold.
For physics, the surface (also known as area) is also a quantity that indicates the extension of a body in two dimensions (length and width). The unit of measure in the International system is the square metre (m²).
There are several concepts related to the concept of surface. UNA revolved surface, for example, is one that is generated by rotating a plane curve around an axis that lies on the same plane as the curve.
In this sense, a cylindrical surface of revolution is generated by the rotation of a straight line that is parallel to the axis of rotation. A conical surface of revolution, on the other hand, is obtained by rotating a line about an axis intersected a Summit or one end. Then there are the spherical surface of revolution (a semi-circle around its diameter rotation) and toroidal surface of revolution (circumference or a circle around a rotation axis not intersecting any point).