Cubic Mile
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Cubic Mile
A cubic mile (abbreviation: cu mi or mi3) is an imperial and US customary (non- SI non-metric) unit of volume, used in the United States, Canada and the United Kingdom. It is defined as the volume of a cube with sides of 1 mile (63360 inches, 5280 feet, 1760 yards or ~1.609 kilometres) in length. Conversions See also * Square mile * Orders of magnitude for a comparison with other volumes * * Cube (arithmetic) ** Cube root ** Cubic equation ** Cubic function In mathematics, a cubic function is a function of the form f(x)=ax^3+bx^2+cx+d where the coefficients , , , and are complex numbers, and the variable takes real values, and a\neq 0. In other words, it is both a polynomial function of degree ... References {{United States Customary Units Units of volume Imperial units Customary units of measurement in the United States ...
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Imperial Unit
The imperial system of units, imperial system or imperial units (also known as British Imperial or Exchequer Standards of 1826) is the system of units first defined in the British Weights and Measures Act 1824 and continued to be developed through a series of Weights and Measures Acts and amendments. The imperial system developed from earlier English units as did the related but differing system of customary units of the United States. The imperial units replaced the Winchester Standards, which were in effect from 1588 to 1825. The system came into official use across the British Empire in 1826. By the late 20th century, most nations of the former empire had officially adopted the metric system as their main system of measurement, but imperial units are still used alongside metric units in the United Kingdom and in some other parts of the former empire, notably Canada. The modern UK legislation defining the imperial system of units is given in the Weights and Measures Act ...
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Acre-foot
The acre-foot is a non- SI unit of volume equal to about commonly used in the United States in reference to large-scale water resources, such as reservoirs, aqueducts, canals, sewer flow capacity, irrigation water, and river flows. An acre-foot equals approximately an eight-lane swimming pool, long, wide and deep. Definitions As the name suggests, an acre-foot is defined as the volume of one acre of surface area to a depth of one foot. Since an acre is defined as a chain by a furlong (i.e. ), an acre-foot is . There are two definitions of an acre-foot (differing by about 0.0006%), depending on whether the "foot" used is an "international foot" or a "U.S. survey foot". Application As a rule of thumb in US water management, one acre-foot is taken to be the planned annual water usage of a suburban family household. In some areas of the desert Southwest, where water conservation is followed and often enforced, a typical family uses only about 0.25 acre-foot of water ...
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Units Of Volume
A unit of volume is a unit of measurement for measuring volume or capacity, the extent of an object or space in three dimension (mathematics), dimensions. Units of capacity may be used to specify the volume of fluids or bulk goods, for example water, rice, sugar, grain or flour. Units According to the International System of Units, SI system, the base unit (measurement), base unit for measuring length is the metre. The SI unit of volume is thus the cubic metre, which is a derived unit, where:''SI Units - Volume''
at nist.gov. Retrieved 29 June 2022. 1 m3 = 1 m • 1 m • 1 m.


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British Commonwealth

* Hoppus, cubic foot measure used in the Brit ...
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Cubic Function
In mathematics, a cubic function is a function of the form f(x)=ax^3+bx^2+cx+d where the coefficients , , , and are complex numbers, and the variable takes real values, and a\neq 0. In other words, it is both a polynomial function of degree three, and a real function. In particular, the domain and the codomain are the set of the real numbers. Setting produces a cubic equation of the form :ax^3+bx^2+cx+d=0, whose solutions are called roots of the function. A cubic function has either one or three real roots (which may not be distinct); all odd-degree polynomials have at least one real root. The graph of a cubic function always has a single inflection point. It may have two critical points, a local minimum and a local maximum. Otherwise, a cubic function is monotonic. The graph of a cubic function is symmetric with respect to its inflection point; that is, it is invariant under a rotation of a half turn around this point. Up to an affine transformation, there are only th ...
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Cubic Equation
In algebra, a cubic equation in one variable is an equation of the form :ax^3+bx^2+cx+d=0 in which is nonzero. The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients , , , and of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). All of the roots of the cubic equation can be found by the following means: * algebraically, that is, they can be expressed by a cubic formula involving the four coefficients, the four basic arithmetic operations and th roots (radicals). (This is also true of quadratic (second-degree) and quartic (fourth-degree) equations, but not of higher-degree equations, by the Abel–Ruffini theorem.) * trigonometrically * numerical approximations of the roots can be found using root-finding algorithms such as Newton's method. The coefficients do not need to be real numbers. Much of what is ...
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Cube Root
In mathematics, a cube root of a number is a number such that . All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of , denoted \sqrt[3]8, is , because , while the other cube roots of are -1+i\sqrt 3 and -1-i\sqrt 3. The three cube roots of are :3i, \quad \frac-\fraci, \quad \text \quad -\frac-\fraci. In some contexts, particularly when the number whose cube root is to be taken is a real number, one of the cube roots (in this particular case the real one) is referred to as the ''principal cube root'', denoted with the radical sign \sqrt[3]. The cube root is the inverse function of the cube (algebra), cube function if considering only real numbers, but not if considering also complex numbers: although one has always \left(\sqrt[3]x\right)^3 =x, the cube of a nonzero number has more than one complex cube root and its ...
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Cube (arithmetic)
In arithmetic and algebra, the cube of a number is its third power, that is, the result of multiplying three instances of together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example or . The cube is also the number multiplied by its square: :. The ''cube function'' is the function (often denoted ) that maps a number to its cube. It is an odd function, as :. The volume of a geometric cube is the cube of its side length, giving rise to the name. The inverse operation that consists of finding a number whose cube is is called extracting the cube root of . It determines the side of the cube of a given volume. It is also raised to the one-third power. The graph of the cube function is known as the cubic parabola. Because the cube function is an odd function, this curve has a center of symmetry at the origin, but no axis of symmetry. In integers A cube number, or a perfect cube, or sometimes just a cube, is a number which ...
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Orders Of Magnitude (volume)
The table lists various objects and units by the order of magnitude of their volume. Sub-microscopic Microscopic Human measures Terrestrial Astronomical References {{DEFAULTSORT:Orders Of Magnitude (Volume) Volume Volume is a measure of occupied three-dimensional space. 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 de ... * ...
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Square Mile
The square mile (abbreviated as sq mi and sometimes as mi2)Rowlett, Russ (September 1, 2004) University of North Carolina at Chapel Hill. Retrieved February 22, 2012. is an imperial and US unit of measure for area. One square mile is an area equal to the area of a square with sides of length one mile. Equivalents One square mile is equal to: *4,014,489,600 square inches * * * * One square mile is also equivalent to: * * * Similarly-named units Miles square Square miles should not be confused with miles square, a square region with each side having a length of the value given. For example, a region which is 20 miles square ( × ) has an area of ; a rectangle of measuring × also has an area of , but is not 20 miles square. Section In the United States Public Land Survey System, "square mile" is an informal synonym for section Section, Sectioning or Sectioned may refer to: Arts, entertainment and media * Section (music), a complete, but not independent, mus ...
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Barrel
A barrel or cask is a hollow cylindrical container with a bulging center, longer than it is wide. They are traditionally made of wooden staves and bound by wooden or metal hoops. The word vat is often used for large containers for liquids, usually alcoholic beverages; a small barrel or cask is known as a keg. Modern wooden barrels for wine-making are made of French common oak (''Quercus robur''), white oak (''Quercus petraea''), American white oak (''Quercus alba''), more exotic is Mizunara Oak all typically have standard sizes: Recently Oregon Oak (Quercus Garryana) has been used. *"Bordeaux type" , *" Burgundy type" and *"Cognac type" . Modern barrels and casks can also be made of aluminum, stainless steel, and different types of plastic, such as HDPE. Someone who makes barrels is called a "barrel maker" or cooper (coopers also make buckets, vats, tubs, butter churns, hogsheads, firkins, kegs, kilderkins, tierces, rundlets, puncheons, pipes, tuns, butts, pins, ...
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Bushel
A bushel (abbreviation: bsh. or bu.) is an imperial and US customary unit of volume based upon an earlier measure of dry capacity. The old bushel is equal to 2 kennings (obsolete), 4 pecks, or 8 dry gallons, and was used mostly for agricultural products, such as wheat. In modern usage, the volume is nominal, with bushels denoting a mass defined differently for each commodity. The name "bushel" is also used to translate similar units in other measurement systems. Name The name comes from the Old French ' and ', meaning "little box".. It may further derive from Old French ', thus meaning "little butt". History The bushel is an intermediate value between the pound and ton or tun that was introduced to England following the Norman Conquest. Norman statutes made the London bushel part of the legal measure of English wine, ale, and grains. The Assize of Bread and Ale credited to Henry III, , defined this bushel in terms of the wine gallon,.  & while th ...
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Gallon
The gallon is a unit of volume in imperial units and United States customary units. Three different versions are in current use: *the imperial gallon (imp gal), defined as , which is or was used in the United Kingdom, Ireland, Canada, Australia, New Zealand, and some Caribbean countries; *the US gallon (US gal), defined as , (231 cubic inches) which is used in the US and some Latin American and Caribbean countries; and *the US dry gallon ("usdrygal"), defined as US bushel (exactly ). There are two pints in a quart and four quarts in a gallon. Different sizes of pints account for the different sizes of the imperial and US gallons. The IEEE standard symbol for both US (liquid) and imperial gallon is gal, not to be confused with the gal (symbol: Gal), a CGS unit of acceleration. Definitions The gallon currently has one definition in the imperial system, and two definitions (liquid and dry) in the US customary system. Historically, there were many definitions and redefiniti ...
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