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  Area and Volume of Solid Figures Homework Help - K-12 Grade Level, College Level Mathematics

Introduction of Volume:

Volume is the quantity of three-dimensional space enclosed by some closed boundary, for illustration, the space that a substance (like solid, liquid, gas, or plasma) or shape contains or occupies. Volume is often quantified numerically using the SI derived unit that is cubic meter. 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.

Important Formulas of area of plane figures:

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cube

Volume = a 3

rectangular prism

Volume = a b c 

cylinder

volume = b h = pi r 2 h

Cone

Volume = (1/3) b h = 1/3 pi r 2 h 

sphere

Volume= (4/3) pi r 3

ellipsoid

volume = (4/3) pi r1 r2 r3


 

 

 

 

 

 

 

 

 

 

 

 

 

 

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