Surface area
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Surface area is the measure of how much exposed area a solid object has, expressed in square units. Mathematical description of the surface area is considerably more involved than the definition of arc length of a curve.
For 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.
[edit] Common formulas
Shape | Variables |
---|---|
Cube | s = side length |
Rectangular prism | ℓ = length, w = width, h = height |
Sphere | r = radius of sphere |
Spherical lune | r = radius of sphere, θ = dihedral angle |
Closed cylinder | r = radius of the circular base, h = height of the cylinder |
Lateral surface area of a cone | s = slant height of the cone, r = radius of the circular base, |
Full surface area of a cone | s = slant height of the cone, r = radius of the circular base, |
Pyramid | B = area of base, P = perimeter of base, L = slant height |
[edit] Also see
[edit] Reference:
- Wikipedia Surface Area [1]
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