PowerPoint Presentation on Surface Areas & Volumes(PPT)






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The surface area of a solid object is the total area of the object's faces and curved surfaces. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which 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 surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.

A 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.

 

 

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PowerPoint Presentation on Surface Areas & Volumes(PPT)
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Further Reading:
http://en.wikipedia.org/wiki/Powerpoint
http://en.wikipedia.org/wiki/Surface
http://en.wikipedia.org/wiki/Areas

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Posted by: Prateek on June 10, 2014


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