11.4 Volumes of Prisms and Cylinders Volume is the space a figure occupies. –Measured in cubic...
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Transcript of 11.4 Volumes of Prisms and Cylinders Volume is the space a figure occupies. –Measured in cubic...
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