Search results
Results From The WOW.Com Content Network
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.
the volume of a cube of side length one hectometre (100 m) equal to a gigalitre in civil engineering abbreviated MCM for million cubic metres 1 hm 3 = 1 000 000 m 3 = 1 GL Cubic kilometre the volume of a cube of side length one kilometre (1000 m) equal to a teralitre 1 km 3 = 1 000 000 000 m 3 = 1 TL (810713.19 acre-feet; 0.239913 cubic miles)
The term unit cube or unit hypercube is also used for hypercubes, or "cubes" in n-dimensional spaces, for values of n other than 3 and edge length 1. [1] [2]Sometimes the term "unit cube" refers in specific to the set [0, 1] n of all n-tuples of numbers in the interval [0, 1].
Some SI units of volume to scale and approximate corresponding mass of water. To ease calculations, a unit of volume is equal to the volume occupied by a unit cube (with a side length of one). Because the volume occupies three dimensions, if the metre (m) is chosen as a unit of length, the corresponding unit of volume is the cubic metre (m 3).
The volume of a cuboid is the product of its length, width, and height. Because all the edges of a cube are equal in length, the formula for the volume of a cube as the third power of its side length, leading to the use of the term cubic to mean raising any number to the third power: [ 7 ] [ 6 ] V = a 3 . {\displaystyle V=a^{3}.}
It is the volume of a cube with each of its three dimensions (length, width, and height) being one inch long which is equivalent to 1 / 231 of a US gallon. [ 1 ] The cubic inch and the cubic foot are used as units of volume in the United States , although the common SI units of volume, the liter , milliliter , and cubic meter , are also ...
The volume of a n-ball is the Lebesgue measure of this ball, which generalizes to any dimension the usual volume of a ball in 3-dimensional space. The volume of a n -ball of radius R is R n V n , {\displaystyle R^{n}V_{n},} where V n {\displaystyle V_{n}} is the volume of the unit n -ball , the n -ball of radius 1 .
The ideal gas equation can be rearranged to give an expression for the molar volume of an ideal gas: = = Hence, for a given temperature and pressure, the molar volume is the same for all ideal gases and is based on the gas constant: R = 8.314 462 618 153 24 m 3 ⋅Pa⋅K −1 ⋅mol −1, or about 8.205 736 608 095 96 × 10 −5 m 3 ⋅atm⋅K ...