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Fix error (the volume is measured in cubic meters) + a digression about fractional dimensions (maybe this should go to another article)
A '''dimension''' is a measurable extension in [[space]]. There are three commonly perceived dimensions: [[length]], [[breadth]], and [[width]]. For example a [[cube]] measuring 10 [[meter]]s in each dimension will have a [[volume]] of 1000 meters squared, i.e. 10 x 10 x 10 = 1000.
A '''dimension''' is a measurable extension in [[space]]. There are three commonly perceived dimensions: [[length]], [[breadth]], and [[width]]. For example a [[cube]] measuring 10 [[meter]]s in each dimension will have a [[volume]] of 1000 cubic meters, i.e. 10 m x 10 m x 10 m = 1000 m<sup>3</sup>.
==Geometric definition==
==Geometric definition==
Similarly, the [[surface]] of a [[sphere]] is 2-dimensional, since one requires 2 independent parameters to specify the location of a point on the surface: the [[latitude]] and [[longitude]].
Similarly, the [[surface]] of a [[sphere]] is 2-dimensional, since one requires 2 independent parameters to specify the location of a point on the surface: the [[latitude]] and [[longitude]].
There are other, more elaborate, definitions of dimension, that measure geometric objects like fractal lines, that would have an infinite 1-dimensional length but a zero 2-dimensional area. Fractals have dimensions that are not integer numbers. Fractals don't exist in nature, but some natural objects behave, approximately, like fractals: a broccoli, a costline or the surface of the human brain are examples of natural objects that look like fractals.
==Other mathematical definitions==
==Other mathematical definitions==