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 |
|
|
|
|
|
6