11.4 volumes of prisms and cylinders
DESCRIPTION
11.4 Volumes of Prisms and Cylinders. Volume is the space a figure occupies. Measured in cubic units. Volume of a cube: V = s 3 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. - PowerPoint PPT PresentationTRANSCRIPT
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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.
![Page 2: 11.4 Volumes of Prisms and Cylinders](https://reader035.vdocuments.us/reader035/viewer/2022081506/568132b1550346895d9969e5/html5/thumbnails/2.jpg)
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
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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
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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
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Volume of a Cylinder
• The volume of a cylinder is the product of the base and the height of the cylinder.
2V r h
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Finding the Volume of a Cylinder• What is the volume of the cylinder in terms of
pi?
2V r h2(3) (8)
372 cm
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More Practice!!!!!
• Homework – Textbook p. 721 # 6 – 16 ALL.