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					Volume of Prisms

  1) Defining Volume
   2) Volume = lwh
    3) Volume = Bh




                     Created by:
                  David W. Cummins
Volume is the space
We can begin by stacking
the cubic units occupies.
that a figure in the
bottom of the prism cubic
It is measured in                                      3units
units.
This prism holds 9 cubic
The volumebottom given
units in the of the layer.
cube can be found by
 We can continue to stack                           3units
determining how many
 these layers until the
cubic units will fit inside the   3units
 prism is full.
cube.
This prism holds 3 layers of
9 cubic units for a total of       1 cubic unit
27 cubic units
                                             1unit
   V = 27 cubic units                       1unit
                                    1unit
                        Another way to find the volume
                        of the prism is to use the
                 3units
                   h
                        formula
                                      V = lwh
              3units     where V is volume, l is length,
                w        w is width, and h is height
3units
  l                                  V = lwh
                                  V = (3)(3)(3)
                               V = 27 cubic units

   This formula works very well for rectangular prisms
                            Another way to find the volume
                            of the prism is to use the
                     3units
                       h
                            formula
                                        V = Bh
                 3units    where V is volume, B is the
                   w       base area, and h is height
3units
  l                                    V = Bh
   Base Area
                                     V = (9)(3)
     B = lw
                                V = 27 cubic units
    B = (3)(3)
B = 9 square units          This formula works very well for
                                non-rectangular prisms
Find the volume of this rectangular prism
                                                      OR
                           Since this is a       We could use
                         rectangular prism
                            we can use              V = Bh
                  7 in                       The base is a rectangle
                             V = lwh
                             we have:                B = lw

                           V = (5)(4)(7)           B = (5)(4)
               4 in                                B = 20 in2
                           V = 140     in3
  5 in
                                              now we use V = Bh
                                                  V = (20)(7)
In this case it’s much easier to use
               V = lwh                            V = 140 in3
       Find the volume of this triangular prism
                                       is a triangular
                            Since this BASE AREA prism we
                                          must use
                      5 cm               B = 6 cm2
                                           V = Bh
                                        Now we use
                           since the base is a triangle we must
                                            of Bh
                             find the areaV =the triangle first
                                           using:
                             where h is the distance between
                                        the bases.
                                       B = (1/2)bh
4 cm                9 cm
                             (whereV = (6 cm2perpendicular)
                                   b & h are )(9 cm)
                                      B V = 54 cm3
                                        = (1/2)(3)(4)
         3 cm
                                       B = (1/2)(12)
                                        B = 6 cm2

				
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posted:2/3/2013
language:English
pages:6