# The Volume of a Rectangular Prism

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2/28/2012
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```							    Geometric
Measurements
Fundamental Tools for Mathematical
Modeling
Geometric Measurements
Volume

3
Dimensions
Geometric Measurements

Volume:
The amount of space occupied
by a three-dimensional object
or region of space, expressed
in cubic units.
The Volume of a Cylinder
Note: This is a very small cylinder. These are the dimensions of
the holes in the GEARS-IDS 6x9 Plate

R = 0.095”
H = 0.090”             Volume(cyl.)    R  H  2

Volume(cyl.)    0.095  0.090" 2

V(cyl) =  r2
Volume(cyl.)  0.028in  0.090"
2

Volume(cyl.)  0.0025in3
H

R
The Volume of a Rectangular Prism
Volumerect. prism  length  width  Height
       Volumerect. prism  l  w  h
1”
1”          Volumerect. prism  3"2"2"
1”
2.0”
Volume = 12 in3

3.0”

2.0”
Calculate the Volume of the 6” x 9” Plate
8.688”                              = 3.14
Plate Thickness 0.090”
Hole
Dia.
0.190”

5.688”

Note: The solution to this problem is dependent on calculating
the area accurately!
Volume of Solids

V = lwh
V = s3
s
s              h
s                                       l
w

r
h           V = r2h               V = (4/3)r3
r

Quick Reference Slide
Go Forth and Calculate,
The End
For Now

```
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