Formulas for the Volumes of Some Common Solids

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Formulas for the Volumes of Some Common Solids

The Columbia Encyclopedia, Sixth Edition | 2008 | The Columbia Encyclopedia, Sixth Edition. Copyright 2008 Columbia University Press. (Hide copyright information) Copyright

Formulas for the Volumes of Some Common Solids

 Abbreviations: B  = area of base; h  = height; r  = radius; l  = length; w  = width.
Formulas for the Volumes of Some Common Solids
Solid Volume
cube l3
right rectangular parallelepiped lwh
prism Bh
right circular cylinder π r2h
pyramid 1/3 Bh
right circular cone 1/3 π r2h
sphere 4/3 π r3

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volume

The Columbia Encyclopedia, Sixth Edition | 2008 | The Columbia Encyclopedia, Sixth Edition. Copyright 2008 Columbia University Press. (Hide copyright information) Copyright

volume measure of solid content or capacity, usually expressed in units that are the cubes of linear units, such as cubic inches and cubic centimeters, or in units of dry and liquid measure, such as bushels, gallons, and liters. Volumes of complicated geometric forms are often calculated using integral calculus . See the table entitled Formulas for the Volumes of Some Common Solids .

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