Volume is usually measured or defined in Euclidean (flat) three-space in Newtonian (non-relativistic) physics. We might speak of the volume of a particle, the volume of a sample of liquid or gas, or the volume of the earth. In relativistic physics, volume is determined for non-Euclidean (curved) three-space. In the case of certain complex or esoteric objects, volume might be impossible to define or measure. One example is a mathematical object having a fractional number of dimensions. Another example is an object without a well-defined surface.
When expressing large or small volumes, prefix multiplier s are attached to the meter cubed. The table below shows the most common alternative volume units and their relationship to the meter cubed.
|To convert to meters
cubed, multiply by:
|kilometer cubed (km 3 )||10 9||10 -9|
|centimeter cubed (cm 3 )||10 -6||10 6|
|millimeter cubed (mm 3 )||10 -9||10 9|
|foot cubed (ft 3 )||0.0283||35.3|
|micrometer cubed or
micron cubed (µ 3 )
|10 -18||10 18|
|nanometer cubed (nm 3 )||10 -27||10 27|
|Angström squared (Ä 3 )||10 -30||10 30|