Surface Area and Volumes

Surface Area and Volumes


Surface area is the measure of how much exposed of area a solid object has, expressed in square units.General definition of surface area was sought by Henri Lebesgue and Hermann Minkowski at the turn of the twentieth century.

Definition of Surface Area:

While areas of many simple surfaces have been known since antiquity, a rigorous mathematical definition of area requires a lot of care. Surface area is an assignment

of a positive real number to a certain class of surfaces that satisfies several natural requirements. The most fundamental property of the surface area is its additivity: the area of the whole is the sum of the areas of the parts. More rigorously, if a surface S is a union of finitely many pieces S₁, …, S_r which do not overlap except at their boundaries then