Information AboutVolume |
| CATEGORIES ABOUT VOLUME | |
| volumevolume | |
| physical quantity | |
| euclidean solid geometry | |
| SHOPPER'S DELIGHT | |
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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. |