Unless the context suggests otherwise, the two are the same. However, you may, for example, be required to find the curved surface area of a cylinder and [then] the total surface area. In that case the total surface area would include the areas of the two end faces.
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The total surface area! The total surface area! The total surface area! The total surface area!
A surface area of 804.2 cm2
It is the area of the exposed surface. So if you take a cube, the surface area is the sum of the areas of each of the 6 faces. They are all the same in the case of a cube. In general, add up the surface area of each exposed surface and this is the total surface area.
It is called "the total surface area".
surface area