Information AboutVolume |
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Volume or '''capacity''', is how much Space an Object occupies. The International Unit for volume is the Cubic Meter . The volume of a solid object is a numerical value given to describe the three- Dimension al concept of how much Space it occupies. One-dimensional objects (such as Lines ) and two-dimensional objects (such as Square s) are assigned zero volume in the three-dimensional space. Mathematically, volumes are ''defined'' by means of Integral Calculus , by approximating the given body with a large amount of small Cubes or concentric Cylindrical shells, and adding the individual volumes of those shapes. The generalization of volume to arbitrarily many dimensions is called Content . In Differential Geometry , volume is expressed by means of the 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). Volume is a fundamental parameter in Thermodynamics and it is Conjugate to Pressure . Volume formulae The volume of a Parallelepiped is the absolute value of the Scalar Triple Product of the subtending vectors, or equivalently the absolute value of the Determinant of the corresponding matrix. The volume of any Tetrahedron , given its vertices a, '''b''', '''c''' and '''d''', is (1/6)·| Det (a−'''b''', '''b'''−'''c''', '''c'''−'''d''')|, or any other combination of pairs of vertices that form a simply connected Graph . Volume measures: other metric units A commonly used called Metric unit for volume is the Litre (American spelling liter), and one thousand litres is the volume of a Cubic Metre (American spelling cubic meter), which was formerly termed a '' Stere '' and often called a "cube" in Engineering Slang . A Cubic Centimetre (American spelling cubic centimeter) is the same volume as a millilitre. Volume measures: USA U.S. Customary Units of volume:
The acre foot is often used in measuring the volume of water in a Reservoir or an Aquifer . It is the volume of water that would cover an Area of one Acre to a depth of one Foot . It is equivalent to 43,560 cubic feet or exactly 1233.481 837 547 52 m³.
Volume measures: UK Imperial Units of volume:
May it be noted that due to metrication within the UK, the quart is now obsolete and the fluid ounce extremely rare. The gallon is only used for transportation uses, (it is illegal for petrol & diesel to be sold by the gallon). The pint is the only Imperial unit that is in everyday use, for the sale of draught beer & cider (bottled & canned beer is sold in SI units) and for milk (this too is increasingly being sold in SI units). Volume measures: cooking Traditional cooking measures for volume also include:
Relationship to density The volume of an object is Equal to its Mass Divided by its Average Density . This is a rearrangement of the calculation of density as mass per unit volume. The term ''specific volume'' is used for volume divided by mass. This is the Reciprocal of the mass density, expressed in units such as cubic meters per kilogram (m³·kg-1). Volume comparisons To help compare different volumes, see Orders Of Magnitude (volume) See also |