What is Volume: Definition and 1000 Discussions

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or 3D shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre. 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.
Three dimensional mathematical shapes are also assigned volumes. Volumes of some simple shapes, such as regular, straight-edged, and circular shapes can be easily calculated using arithmetic formulas. Volumes of complicated shapes can be calculated with integral calculus if a formula exists for the shape's boundary. One-dimensional figures (such as lines) and two-dimensional shapes (such as squares) are assigned zero volume in the three-dimensional space.
The volume of a solid (whether regularly or irregularly shaped) can be determined by fluid displacement. Displacement of liquid can also be used to determine the volume of a gas. The combined volume of two substances is usually greater than the volume of just one of the substances. However, sometimes one substance dissolves in the other and in such cases the combined volume is not additive.In differential geometry, volume is expressed by means of the volume form, and is an important global Riemannian invariant.
In thermodynamics, volume is a fundamental parameter, and is a conjugate variable to pressure.

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  1. G

    Boiler volume for specific steam turbine?

    New here, hope someone can help. I'm experimenting with a heat source for a steam turbine. I have the specs for the turbine and the necessary conditions for operation, but at this point in my design I need to figure out the volume of the actual boiler/reservoir. A direct answer or the right...
  2. R

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  3. Oannes

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  4. J

    MHB Compare volume formula to integration

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  5. D

    Volume of Object with Diameter 0.184 cm & 0.916 cm, Height 2.33 cm & 13.6 cm

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  6. B

    Trying to calculate the volume of gas flowing through a nozzle

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  7. E

    Enthelpy Transformation: P=Constant, ΔH=Q?

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  8. B

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  9. BTBlueSkies

    I Volume vs Circumference of Massive Body

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  10. B

    Volume magnetization currents - derivation confusion

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  11. N

    MHB How to Maximize the Volume of a Cylinder with a Given Perimeter?

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  12. N

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  13. T

    Relationship between Pressure and volume with Air

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  14. Prasun-rick

    I Volume of sphere using integration?

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  15. Kirito123

    Volume of Cylinders: Find V w/ Pi r2h

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  16. Kirito123

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  17. S

    MHB Find Volume of Revolved Region: [-pi/2, pi/2] & y= cos x & y = -cos x

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  18. M

    MHB Calculating Volume of a Solid by Subtracting Volumes of Basic Shapes

    Please solve this problem :)
  19. M

    Liquefied Petroleum Gas (GLP) Volume in Tanm

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  20. D

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  21. G

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  22. S

    Thermal expansion of liquid in a tube

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  23. H

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  24. D

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  25. ChrisVer

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  26. Destroxia

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  28. Firye Stanly

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  29. E

    I Bounding the volume distortion of a manifold

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  30. D

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  31. J

    Water level involving Density, mass, volume, radius

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  32. ElijahRockers

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  33. CAH

    Volume of revolution in the first quadrant?

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  34. Kerrigoth

    Why Is My Calculated Volume Different from the Textbook's Answer?

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  35. V

    Gravitational pressure dependence on volume

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  36. E

    B Using infinitesimals to find the volume of a sphere/surface

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  37. P

    MHB Effie's question via email about a volume by revolution

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  38. P

    MHB Brenton's questions via email about volume by revolution

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  39. P

    MHB Divanshu's question via email about a volume by revolution

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  40. P

    MHB Jesse's question via email about volume by revolution

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  41. P

    MHB Nour's question via email about volume of revolution using cylindrical shells.

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  42. P

    MHB Kivindu's question via email about volume by revolution

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  43. P

    MHB Kishan's question via email about volume by revolution

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  44. M

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  45. K

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  46. S

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  47. Kirito123

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  48. Askhat15

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  49. F

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  50. Tap Banister

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