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12.4 Volume of Prisms & Cylinders                      April 08, 2013




                                      Bellwork




     Choose a pyramid and a cone from the back table. 

                      Find the surface area of each.

               Put the bellwork in the homework bin.




                                    Apr 7­7:29 AM

HW pg. 822 #3­12, 15­21                                                 1
12.4 Volume of Prisms & Cylinders                                             April 08, 2013




     12.4 Volume of Prisms & Cylinders

    What is volume??????
      the amount of space inside of an object

                   The concept of finding volume of a prism or 
                     cylinder is to find the area of the base 
                    & multiply times the height of the object!
    Volume of a Prism:
        V = Ah  where A = area of the base and h = height of prism

         **Remember the key is to correctly idenfy the shape of the prism 
            base and to then insert the area formula for the base shape into
             the "A" poron of the volume formula.

        **The "height" of the prism is always the perpendicular distance 
          between the 2 parallel bases.
                                                        Find the volume of the solid.


         10.8 in




                          6.2 in

                   8 in




                                      Feb 16­12:38 PM

HW pg. 822 #3­12, 15­21                                                                        2
12.4 Volume of Prisms & Cylinders                                    April 08, 2013




      Volume of a Cylinder:
      **Same concept as a prism!!! V = Ah

      V = πr2H  where r = radius of the base & h = height of prism
            


                                                                     14.2 cm



                                                       16 cm




                                    Feb 16­12:58 PM

HW pg. 822 #3­12, 15­21                                                               3
12.4 Volume of Prisms & Cylinders                    April 08, 2013




                   HW: 
                     12.4 pg. 822
                         #3‐12, 15‐21




                                    Feb 16­1:00 PM

HW pg. 822 #3­12, 15­21                                               4

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12.4 notes

  • 1. 12.4 Volume of Prisms & Cylinders April 08, 2013 Bellwork Choose a pyramid and a cone from the back table.  Find the surface area of each. Put the bellwork in the homework bin. Apr 7­7:29 AM HW pg. 822 #3­12, 15­21 1
  • 2. 12.4 Volume of Prisms & Cylinders April 08, 2013 12.4 Volume of Prisms & Cylinders What is volume?????? the amount of space inside of an object The concept of finding volume of a prism or  cylinder is to find the area of the base  & multiply times the height of the object! Volume of a Prism: V = Ah  where A = area of the base and h = height of prism      **Remember the key is to correctly idenfy the shape of the prism          base and to then insert the area formula for the base shape into  the "A" poron of the volume formula.     **The "height" of the prism is always the perpendicular distance  between the 2 parallel bases. Find the volume of the solid. 10.8 in 6.2 in 8 in Feb 16­12:38 PM HW pg. 822 #3­12, 15­21 2
  • 3. 12.4 Volume of Prisms & Cylinders April 08, 2013 Volume of a Cylinder: **Same concept as a prism!!! V = Ah V = πr2H  where r = radius of the base & h = height of prism    14.2 cm 16 cm Feb 16­12:58 PM HW pg. 822 #3­12, 15­21 3
  • 4. 12.4 Volume of Prisms & Cylinders April 08, 2013 HW:  12.4 pg. 822 #3‐12, 15‐21 Feb 16­1:00 PM HW pg. 822 #3­12, 15­21 4