1 / 8

12.4 Volume of Prisms and Cylinders

12.4 Volume of Prisms and Cylinders. Postulate Volume of a Cube. Volume equals side cubed. Postulate. Congruent Polyhedron have the same volumes. Postulate. You can add volumes that do not overlap. Cavalieri’s Principle.

sydnee-case
Download Presentation

12.4 Volume of Prisms and Cylinders

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 12.4 Volume of Prisms and Cylinders

  2. Postulate Volume of a Cube Volume equals side cubed

  3. Postulate Congruent Polyhedron have the same volumes

  4. Postulate You can add volumes that do not overlap

  5. Cavalieri’s Principle • Cavalieri’s Principle essentially states that if two prisms have the property that all corresponding cross sections have the same area, then those prisms have the same volume. The CDs stacks have the same Volume http://mrhonner.com/2011/04/06/cds-and-cavalieris-principle/

  6. Theorem Volume of a Prisms Volume equals Base Area times Height V=Bh Base Area = 3 times 4 = 12 V=12(12)=144cm3

  7. Theorem Volume of a Cylinder Volume equals Base Area times Height V=Bh Let r= 3; h = 7

  8. Homework Page 746 – 748 # 13 – 39 odd

More Related