Tuesday, May 24, 2011

12.4- Volume of Prisms and Cylinders

     
       What I knew about before watching the video was that I already knew the equations for finding the volume of prisms and cylinders and how to use them to find volume. The equation for finding the volume of prisms is volume equals the area of the base times the height, or V=Bh. The equation for finding the volume of cylinders is volume equals pi times radius squared times the height, or V=πr^2h. This is all I knew about before watching the video.
      What I learned about after watcing the video was that I learned Cavalieri’s Principle.Cavalieri’s Principle is if two solids have the same height h and the same cross-sectional area B at every level, then they have the same volume. I also learned how to use volume to find missing lengths. For example, is the volume of a prism is three hundered ninty six and you need to find x, you just plug in your information and solve. So, you have three hundered ninty six equals eleven x time x, or thirty six equals x squared. Then, you square root both sides and x equals six. You can also use volume to find out the missing lenghts of prims and cylinders when you compare a bigger one to a smaller one. This is everything that I learned after watching the video.
Word Count: 222
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