Transcript Volume - Gears EdS

Geometric
Measurements
Fundamental Tools for Mathematical
Modeling
Geometric Measurements
Volume
Dimensions
3
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”
V(cyl) =  r2
Volume(cyl .)    R  H
2
Volume(cyl .)    0.0952  0.090"
Volume(cyl .)  0.028in  0.090"
2
Volume(cyl .)  0.0025in 3
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”
3.0”
2.0”
Volume = 12 in3
Calculate the Volume of the 6” x 9” Plate
Corner Radius =0.250”
8.688”
Hole
Dia.
0.190”

= 3.14
Plate Thickness 0.090”
5.688”
Note: The solution to this problem is dependent on calculating
the area accurately!
Volume of Solids
V = lwh
V = s3
s
s
s
h
l
w
V = r2h
h
r
Quick Reference Slide
r
V = (4/3)r3
Go Forth and Calculate,
The End
For Now