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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
Page 746 – 748
# 13 – 39 odd
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