# Volume

Pronunciation: /ˈvɒl.jum/ Explain

 Click on the blue points and drag them to change the figure. Manipulative 1 - Volume of a Rectangular Box Created with GeoGebra.

Volume is the amount of space enclosed in a solid.[1] Volume is measured in cubic units. The term cubic comes from the word cube. The volume of a box, also called a rectangular prism, is calculated as V = l + w + h.

Volume Formulas
ShapeVolume
Cube V = a3
Rectangular prism V = l + w + h
Cone V = 1/3 π r2 h
Cylinder V = π r2 h
Pyramid V = 1/3 A h
Sphere V = 4/3 π r3
Table 1

### References

1. McAdams, David E.. All Math Words Dictionary, volume. 2nd Classroom edition 20150108-4799968. pg 190. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Keller, Samuel Smith. Mathematics for Engineering Students, Plane and Solid Geometry. pg 171. www.archive.org. D. Van Nostrand Company. 1908. Last Accessed 1/2/2010. http://www.archive.org/stream/mathengineer00kellrich#page/171/mode/1up/search/volume. Buy the book

• Fogt, Robert. Volume Conversion. Online Conversion.com. 3/12/2009. http://www.onlineconversion.com/volume.htm.

McAdams, David E. Volume. 5/13/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/v/volume.html.

### Revision History

5/13/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
12/17/2018: Removed broken links, updated license, implemented new markup, update to new GeoGebra app. (McAdams, David E.)