When information is moved from a curved surface( like the Earth) to a flat surface ( like a map), distortion occurs.
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It depends on the formula that describes the surface itself. "Curved surface area" is not enough information to answer the question.
The question does not specify of what object the curved surface area is required. Without this information then a meaningful answer cannot be provided.
A sphere has a total curved surface. A cylinder and a cone have a partial curved surface
Zero. A cube does not have a curved surface area.
The curved surface are is: pi*diameter*height