The volume of any solid, fluid, plasma, vacuum or theoretical object is how much three-dimensional space it occupies,
often quantified numerically. One-dimensional figures (such as lines) and two-dimensional shapes (such as squares) are
assigned zero volume in the three-dimensional space. Volume is presented as mL or cm3 (milliliters or cubic centimeters).
Volumes of straight-edged and circular shapes are calculated using arithmetic formulas. Volumes of other curved shapes
are calculated using integral calculus, by approximating the given body with a large number of small cubes or concentric
cylindrical shells, and adding the individual volumes of those shapes. The volume of irregularly shaped objects can be
determined by displacement. If an irregularly shaped object is less dense than the fluid, you will need a weight to attach to
the floating object. A sufficient weight will cause the object to sink. The final volume of the unknown object can be found by
subtracting the volume of the attached heavy object and the total fluid volume displaced.
In differential geometry, volume is expressed by means of the volume form, and is an important global Riemannian
Volume and capacity are sometimes distinguished, with capacity being used for how much a container can hold (with
contents measured commonly in liters or its derived units), and volume being how much space an object displaces
(commonly measured in cubic meters or its derived units). The volume of a dispersed gas is the capacity of its container. If
more gas is added to a closed container, the container expands (as in a balloon), the pressure inside the container
increases, or both.
Volume and capacity are also distinguished in a capacity management setting, where capacity is defined as volume over a
specified time period.
Volume is a fundamental parameter in thermodynamics and it is conjugate to pressure.
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