GORA VOLUMUL 2

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Further information: History of calculus and Apothecaries' system Diagram showing how to measure volume using a graduated cylinder with fluid dram markings, 1926 Air displacement pipette is used in biology and biochemistry to measure volume of fluids at the microscopic scale. [14] Calibrated measuring cups and spoons are adequate for cooking and daily life applications, however, they are not precise enough for laboratories. There, volume of liquids is measured using graduated cylinders, pipettes and volumetric flasks. The largest of such calibrated containers are petroleum storage tanks, some can hold up to 1,000,000 bbl (160,000,000L) of fluids. [5] :399 Even at this scale, by knowing petroleum's density and temperature, very precise volume measurement in these tanks can still be made. [5] :403 Mise en pratique for the definition of the metre in the SI" (PDF). International Bureau of Weights and Measures. Consultative Committee for Length. 20 May 2019. p.1. Archived (PDF) from the original on 13 August 2022 . Retrieved 13 August 2022. 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). The definition of length (cubed) is interrelated with volume. The volume of a container is generally understood to be the capacity of the container; i.e., the amount of fluid (gas or liquid) that the container could hold, rather than the amount of space the container itself displaces.

Commonly used prefixes for cubed length units are the cubic millimetre (mm 3), cubic centimetre (cm 3), cubic decimetre (dm 3), cubic metre (m 3) and the cubic kilometre (km 3). The conversion between the prefix units are as follows: 1000mm 3 = 1cm 3, 1000cm 3 = 1dm 3, and 1000dm 3 = 1m 3. [1] The metric system also includes the litre (L) as a unit of volume, where 1 L = 1dm 3 = 1000cm 3 = 0.001m 3. [17] :145 For the litre unit, the commonly used prefixes are the millilitre (mL), centilitre (cL), and the litre (L), with 1000mL = 1L, 10mL = 1cL, 10cL = 1dL, and 10dL = 1L. [1] Cardarelli, François (6 Dec 2012). Scientific Unit Conversion: A Practical Guide to Metrication (2nded.). London: Springer Science+Business Media. p.151. ISBN 978-1-4471-0805-4. OCLC 828776235.IEC 60050 — Details for IEV number 102-04-40: "volume" ". International Electrotechnical Vocabulary (in Japanese) . Retrieved 2023-09-19. On 7 April 1795, the metric system was formally defined in French law using six units. Three of these are related to volume: the stère(1m 3) for volume of firewood; the litre(1dm 3) for volumes of liquid; and the gramme, for mass—defined as the mass of one cubic centimetre of water at maximum density, at about 4°C (39°F). [ citation needed] Thirty years later in 1824, the imperial gallon was defined to be the volume occupied by ten pounds of water at 17°C (62°F). [5] :394 This definition was further refined until the United Kingdom's Weights and Measures Act 1985, which makes 1 imperial gallon precisely equal to 4.54609litres with no use of water. [10] Volumul cubului: Pentru a calcula volumul unui cub, puteți folosi următoarea formulă: V = l The last three books of Euclid's Elements, written in around 300 BCE, detailed the exact formulas for calculating the volume of parallelepipeds, cones, pyramids, cylinders, and spheres. The formula were determined by prior mathematicians by using a primitive form of integration, by breaking the shapes into smaller and simpler pieces. [5] :403 A century later, Archimedes ( c. 287 – 212 BCE) devised approximate volume formula of several shapes used the method of exhaustion approach, meaning to derive solutions from previous known formulas from similar shapes. Primitive integration of shapes was also discovered independently by Liu Hui in the 3rd century CE, Zu Chongzhi in the 5th century CE, the Middle East and India. [5] :404

Volume in general is a Jordan content, so the volume would satisfy these axioms: [ citation needed] In ancient times, volume was measured using similar-shaped natural containers. Later on, standardized containers were used. Some simple three-dimensional shapes can have their volume easily calculated using arithmetic formulas. Volumes of more complicated shapes can be calculated with integral calculus if a formula exists for the shape's boundary. Zero-, one- and two-dimensional objects have no volume; in fourth and higher dimensions, an analogous concept to the normal volume is the hypervolume. Există o serie de formule pentru calculul volumului diferitelor obiecte tridimensionale. Iată câteva dintre cele mai frecvente: Benson, Tom (7 May 2021). "Gas Density". Glenn Research Center. Archived from the original on 2022-08-09 . Retrieved 2022-08-13.

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IEC 60050 — Details for IEV number 102-04-39: "three-dimensional domain" ". International Electrotechnical Vocabulary (in Japanese) . Retrieved 2023-09-19. Stewart, James (2008). Calculus: Early Transcendentals (6thed.). Brooks Cole Cengage Learning. ISBN 978-0-495-01166-8. The metric units of volume uses metric prefixes, strictly in powers of ten. When applying prefixes to units of volume, which are expressed in units of length cubed, the cube operators are applied to the unit of length including the prefix. An example of converting cubic centimetre to cubic metre is: 2.3cm 3 = 2.3 (cm) 3 = 2.3 (0.01 m) 3 = 0.0000023 m 3 (five zeros). [17] :143