# Volume

simple:Volume
The **volume**, of an object, is a quantification of how much space it occupies. The volume, of an object, is equal to its mass divided by its average density. Volume (*Cx*^{3}) is the antiderivative of area (*Cx*^{2}). In terms of volume measurements, volume may also be termed "**capacity**".

The **volume** of a solid object is, classically, a (positive) value given to describe the 3-dimensional concept of how much space it occupies. 1-dimensional objects (like lines) and 2-dimensional objects (like squares) have zero volume in 3-dimensional space. It can also be used to refer to the amount of space an n-dimensional object uses up, although this usage is uncommon.

Common equations for volume:

- A cube:
**s**(where s is the length of a side)^{3} - A rectangular prism:
**l w h**(**l**ength,**w**idth,**h**eight) - A cylinder:
**π r**(r = radius of circular face, h = distance between faces)^{2}h - A sphere:
**4 π r**(r = radius of sphere)^{3}/ 3 - A cone:
**π r**(r = radius of circle at base, h = distance from base to tip)^{2}h / 3 - any prism that has a constant cross sectional area along the height**:
**A h**(A = area of the base, h = height) - any figure (calculus required):
**∫ A dh**(where h is any dimension of the figure, and A is the area of the cross sections perpendicular to h described as a function of the position along h) (this will work for any figure (no matter if the prism is slanted or the cross sections change shape).

A commonly used SI unit for volume is the liter, and one thousand liters is the volume of a cubic meter, which was formerly termed a *stere*. A cubic centimeter is essentially the same as a milliliter.

Traditional US measures of volume:

- US fluid ounce, about 29.6 ml (this volume of water weighs one ounce)
- US pint = 16 ounces, or about 473 ml (this volume of water weighs one pound)
- US quart = 32 ounces or two pints, or about 946 ml
- US gallon = 128 ounces or four quarts, about 3.785 l

- UK fluid ounce, about 28.4 ml (weight of this volume of water is 28.3 g, or nearly one ounce, 28.4 g)
- UK pint = 20 fluid ounces, or about 568 ml
- UK quart = 40 ounces or two pints, or about 1.136 l
- UK gallon = 160 ounces or four quarts, or about 4.546 l

- teaspoon = 1/6 ounce
- tablespoon = 1/2 ounce or 3 teaspoons
- cup = 8 ounces or 1/2 pint

- 10 cm
^{3}- - 100 cm
^{3}- - 1.0 dm
^{3}- - 10 dm
^{3}- - 0.1 m
^{3}- - 1.0 m
^{3}- - 10 m
^{3}- - 100 m
^{3}- - 1,000 m
^{3}- - 10,000 m
^{3}- - 100,000 m
^{3}-

## External link

Conversion Calculator for Units of VOLUME

**Volume**is a common term for the amplitude of sound.