Volume

Volume, also called capacity, is a quantification of how much space an object occupies. The SI unit for volume is the cubic metre. American spelling is cubic meter.

Related Topics:
Quantification - Space - Object - SI - Cubic metre

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

The volume of a solid object is a numerical value given to describe the three-dimensional concept of how much space it occupies. One-dimensional objects (such as lines) and two-dimensional objects (such as squares) are assigned zero volume in the three-dimensional space.

Related Topics:
Dimension - Space - Lines - Square

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Mathematically, volumes are defined by means of integral calculus, by approximating the given body with a large amount of small cubes, and adding the volumes of those cubes. The generalization of volume to arbitrarily many dimensions is called content. In differential geometry, volume is expressed by means of the volume form.

Related Topics:
Integral calculus - Cubes - Content - Differential geometry - Volume form

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Volume and capacity are sometimes distinguished, with capacity being used for how much a container can hold (with contents measured commonly in litres or its derived units), and volume being how much space an object displaces (commonly measured in cubic metres or its derived units).

~ ~ ~ ~ ~ ~ ~ ~ ~ ~