# Surface Area

Surface area is the total area of the faces and curved surface of the a solid figure. Mathematical description of the surface area is considerably more involved than the definition of arc length or polyhedra (objects with flat polygonal faces) the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of the surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.

General definition of surface area was sought by Henri Lebesgue and Hermann Minkowski 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 Minkowski content of a surface.

### Other articles related to "surface area, area, surface":

Lake Mistassini
... is the largest natural lake by surface area in the province of Quebec, Canada, with a total surface area of approximately 2,335 km² and a net area (water surface area only) of 2,164 km² ...
Chambre De Bonne
... The rooms usually have a surface area of around 6-12 m2, which is sometimes accentuated by being in a garret ... the French government stipulated that all rental properties must have a minimum surface area of 9 m2, a volume of 20 m3, and openings (windows, doors, etc.) equivalent to an eighth of the surface area ...
Spine Apparatus - Morphology
... flattened cisternae, the spine apparatus has a large surface area which is beneficial for its function ... Benefits of the large surface area of the spine apparatus include increased electronic properties of the spine and contribution to longitudinal resistance of the cytoplasm ... The spine apparatus structure allows for dynamic changes in the surface area of the spine plasma membrane ...
Surface Area - In Biology
... See also Surface-area-to-volume ratio The surface area of an organism is important in several considerations, such as regulation of body temperature and digestion ... Animals use their teeth to grind food down into smaller particles, increasing the surface area available for digestion ... lining the digestive tract contains microvilli, greatly increasing the area available for absorption ...
... Even if parallel, trenches occupy more surface area ... The surface area they use encumbers the area available for all forms of property development and construction with the burden of avoiding or moving the utilities ... the volume of network resources per unit of surface area occupied ...

### Famous quotes containing the words area and/or surface:

Now for civil service reform. Legislation must be prepared and executive rules and maxims. We must limit and narrow the area of patronage. We must diminish the evils of office-seeking. We must stop interference of federal officers with elections. We must be relieved of congressional dictation as to appointments.
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It was a pretty game, played on the smooth surface of the pond, a man against a loon.
Henry David Thoreau (1817–1862)