The Volume of a Rectangular Prism

							    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
                                        Corner Radius =0.250”
                 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