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The lambda (λ) is a unit of volume equal to one cubic millimetre (1 mm 3). The litre (symbol l or L) is a unit of volume equal to one cubic decimetre (1 dm 3). The stere (st) is a unit of volume equal to 1 m 3.
6 volumetric measures from the mens ponderia in Pompeii, a municipal institution for the control of weights and measures (79 A. D.). A unit of volume is a unit of measurement for measuring volume or capacity, the extent of an object or space in three dimensions.
Volume is a measure of regions in three-dimensional space. [1] It is often quantified numerically using SI derived units (such as the cubic metre and litre ) or by various imperial or US customary units (such as the gallon , quart , cubic inch ).
A simple example is a volume (how big an object occupies a space) as a measure. In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions, such as magnitude, mass, and probability of events. These seemingly distinct concepts have many similarities and ...
A proof of the recursion formula relating the volume of the n-ball and an (n − 2)-ball can be given using the proportionality formula above and integration in cylindrical coordinates. Fix a plane through the center of the ball. Let r denote the distance between a point in the plane and the center of the sphere, and let θ denote the
nipperkin (measure for liquor, containing no more than 1/2 pint) tumblerful (10 fl oz or 2 gills or 2 teacupsful) apothecaries' approximate measures [9] teacupful = about 4 fl oz; wineglassful = about 2 fl oz; tablespoonful = about 1/2 fl oz; dessertspoonful = about 2 fl dr; teaspoonful = about 1 fl dr; drop = about minim; teacupful (5 fl oz ...
The absolute value of a volume form is a volume element, which is also known variously as a twisted volume form or pseudo-volume form. It also defines a measure, but exists on any differentiable manifold, orientable or not. Kähler manifolds, being complex manifolds, are naturally oriented, and so possess a volume form.
To help compare different orders of magnitude, this section lists lengths between 10 −3 m and 10 −2 m (1 mm and 1 cm). 1.0 mm – 1/1,000 of a meter; 1.0 mm – 0.03937 inches or 5/127 (exactly) 1.0 mm – side of a square of area 1 mm²; 1.0 mm – diameter of a pinhead; 1.5 mm – average length of a flea [27]