Learning Resources LER 7630 manual Volume Formulas, Rectangular Prism a H, Square Prism a H

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Volume Formulas

Prism

Finding the volume of a general prism is a matter of multiplying the area of the base times the height of the prism:

Volumegeneral prism = A H

Identify the variables: x

A = Area of the base

H = Height of the prism

The formula for the area of the base of the prism depends upon the shape

of the base.

Rectangular Prism A H

Volumerectangular prism ==(l xxw) x H

Square Prism A H

Volumesquare prism =

= (s xs) H

x x

Identify the variables:

A = Area of the square base

H = Height of the prism

s = Length of the side

H

H

w

s

l

s

Triangular Prism

 

 

h

 

 

 

 

 

 

Volumetriangular prism = A x H

 

b

H

= (1/2 b x h) x H

 

Identify the variables:

b x h)

 

 

 

 

A = Area of the triangle base (1/2

 

 

 

 

h = Altitude, or height, of the triangle

 

 

 

 

H = Height of the prism

 

 

 

 

 

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Contents Activity Guide Power Solids Volume Table Getting Started With Power Solids IntroductionPower Solids Introducing Volume Rectangular Prism a H Volume FormulasPrism Square Prism a HPyramid Hexagonal Prism a HCylinder a H Square PyramidCone = 1/3 Volumecone Triangular Pyramid = 1/3Sphere