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The cubic metre is also a SI derived unit. [16] Therefore, volume has a unit dimension of L 3. [17] 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.
Symbol Description SI derived unit Dimension Comments Absement: A: Measure of sustained displacement: the first integral with respect to time of displacement m⋅s L T: vector Acceleration: a →: Rate of change of velocity per unit time: the second time derivative of position m/s 2: L T −2: vector Angular acceleration: ω a: Change in ...
Unit of measure cubic metre litre Reference size Usage 1 cubic metre = 1 = 1000: base unit in SI 1 barrel = 0.158 987 294 928 = 158.987294928 = 42 US gallons = 9,702 cubic inches: e. g. for oil: 1 cubic foot = 0.028 316 846 592 = 28.316864592 = 1,728 cubic inches: 1 cubic decimetre = 0.001 = 1: 1 litre = 0.001 = 1: 1 gallon (US) = 0.003 785 411 ...
The standard unit is the meter cubed per kilogram (m 3 /kg or m 3 ·kg −1). Sometimes specific volume is expressed in terms of the number of cubic centimeters occupied by one gram of a substance. In this case, the unit is the centimeter cubed per gram (cm 3 /g or cm 3 ·g −1). To convert m 3 /kg to cm 3 /g, multiply by 1000; conversely ...
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 used, especially in manufacturing and high technology. One cubic inch is exactly 16.387 064 mL. One cubic foot is equal to exactly 1,728 cubic inches (28.32 L), as 12 3 = 1728.
Some SI units of volume to scale and approximate corresponding mass of water. A cubic centimetre (or cubic centimeter in US English) (SI unit symbol: cm 3; non-SI abbreviations: cc and ccm) is a commonly used unit of volume that corresponds to the volume of a cube that measures 1 cm × 1 cm × 1 cm.
The specific weight, also known as the unit weight (symbol γ, the Greek letter gamma), is a volume-specific quantity defined as the weight W divided by the volume V of a material: = / Equivalently, it may also be formulated as the product of density, ρ, and gravity acceleration, g: = Its unit of measurement in the International System of Units (SI) is newton per cubic metre (N/m 3), with ...
As there are many units of mass and volume covering many different magnitudes there are a large number of units for mass density in use. The SI unit of kilogram per cubic metre (kg/m 3) and the cgs unit of gram per cubic centimetre (g/cm 3) are probably the most commonly used units for density.