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Thusġ = (10 cm) 3 = 1000 cubic centimetres = 0.001 cubic metres, The metric system also includes the litre (L) as a unit of volume, where one litre is the volume of a 10-centimetre cube. In the International System of Units (SI), the standard unit of volume is the cubic metre (m 3). For example, a cubic centimetre (cm 3) is the volume of a cube whose sides are one centimetre (1 cm) in length. Approximate conversion to metric (mL) Īny unit of length gives a corresponding unit of volume: the volume of a cube whose sides have the given length. Volume measurements from the 1914 The New Student's Reference Work. In thermodynamics, volume is a fundamental parameter, and is a conjugate variable to pressure. In differential geometry, volume is expressed by means of the volume form, and is an important global Riemannian invariant. However, sometimes one substance dissolves in the other and in such cases the combined volume is not additive. The combined volume of two substances is usually greater than the volume of just one of the substances. Displacement of liquid can also be used to determine the volume of a gas. The volume of a solid (whether regularly or irregularly shaped) can be determined by fluid displacement. One-dimensional figures (such as lines) and two-dimensional shapes (such as squares) are assigned zero volume in the three-dimensional space. Volumes of complicated shapes can be calculated with integral calculus if a formula exists for the shape's boundary. Volumes of some simple shapes, such as regular, straight-edged, and circular shapes can be easily calculated using arithmetic formulas. Three dimensional mathematical shapes are also assigned volumes. The volume of a container is generally understood to be the capacity of the container i.e., the amount of fluid (gas or liquid) that the container could hold, rather than the amount of space the container itself displaces. Volume is often quantified numerically using the SI derived unit, the cubic metre.
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For example, the space that a substance ( solid, liquid, gas, or plasma) or 3D shape occupies or contains.
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Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface. Litre, fluid ounce, gallon, quart, pint, tsp, fluid dram, in 3, yd 3, barrel