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- Created 2012-03-12
is the total area of the faces and curved surface of a solid figure. Mathematical description of the surface area is considerably more involved than the definition of
(objects with flat polygonal
) the surface area is the sum of the areas of its faces. Smooth surfaces, such as a
, are assigned surface area using their representation as
s. This definition of the surface area is based on methods of
General definition of surface area was sought by
at the turn of the twentieth century. Their work led to the development of
geometric measure theory
which studies various notions of surface area for irregular objects of any dimension. An important example is the
of a surface.
from Wikipedia (last updated: 14 June), licensed under
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