11.4 Volumes of Prisms and Cylinders• Volume is the space a figure occupies.

– Measured in cubic units.

• Volume of a cube: V = s3

• Cavalieri’s Principle– If two space figures have the same height and the same

cross-sectional area at every level, then they have the same volume.

Volume of a Prism

• The volume of a prism is the product of the area of the base and the height of the prism.

• V = Bh

Finding the Volume of a Rectangular Prism• What is the volume of the Rectangular Prism?

V = Bh

V = (24)(20)(10)

V = 480 (10)

V = 4800 cm3

Finding the Volume of a Triangular Prism• What is the approximate volume of the

triangular prism?1

2B bh

1(8)(4 3)2

16 3V Bh

16 3 10 160 3

3277 .in

Volume of a Cylinder

• The volume of a cylinder is the product of the base and the height of the cylinder.

2V r h

Finding the Volume of a Cylinder• What is the volume of the cylinder in terms of

pi?

2V r h2(3) (8)

372 cm

More Practice!!!!!

• Homework – Textbook p. 721 # 6 – 16 ALL.