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 (Cx³) is the antiderivative of area (Cx²). 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: s³ (where s is the length of a side)
• A rectangular prism: l w h (length, width, height)
• A cylinder: π r² h (r = radius of circular face, h = distance between faces)
• A sphere: 4 π r³ / 3 (r = radius of sphere)
• A cone: π r² h / 3 (r = radius of circle at base, h = distance from base to tip)
• 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

Traditional UK measures of volume:

• 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

Traditional cooking measures for volume also include:

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

To help compare different volumes, see these pages:

• 10 cm³ -
• 100 cm³ -
• 1.0 dm³ -
• 10 dm³ -
• 0.1 m³ -
• 1.0 m³ -
• 10 m³ -
• 100 m³ -
• 1,000 m³ -
• 10,000 m³ -
• 100,000 m³ -

See also: Orders of magnitude, mass, density

External link

Conversion Calculator for Units of VOLUME

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Volume is a common term for the amplitude of sound.