12.4 Volume of Prisms and Cylinders

Postulate Volume of a Cube

Volume equals side cubed

x

x

x

3xV

Postulate

Congruent Polyhedron have the same volumes

Postulate

You can add volumes that do not overlap

364in

327in

333 912764 ininin

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.

http://mrhonner.com/2011/04/06/cds-and-cavalieris-principle/

The CDs stacks have the same Volume

Theorem Volume of a Prisms

Volume equals Base Area times Height

V=BhBase Area =

3 times 4 = 12

V=12(12)=144cm3

Theorem Volume of a Cylinder

Volume equals Base Area times Height

V=Bh

63

79

932

V

V

Let r= 3; h = 7

Homework

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