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.

Read more about Surface AreaDefinition of Surface Area, Common Formulas, In Chemistry, In Biology

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... of continuous parallel 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 ...
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... 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 ...

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