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Volumes of Prisms and Cylinders 12-4
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Volumes of Prisms Volume is the space that a figure occupies. It is measured in cubic units. How many cubic feet are there in a cubic yard? How many cubic inches are there in a cubic foot? In a cubic yard?
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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.
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Volume of a Prism The volume of a prism is the product of the area of a base (B) and the height (h) of the prism. V=Bh B h
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Examples Find the LA, SA and Volume. 13 cm 10 cm 30 cm
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Example 2 Find the LA, SA and volume. 10 in 8 in
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Volumes of Cylinders The volume of a cylinder is the product of the area of a base (B) and the height (h) of the cylinder. V=Bh r h B
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Example Find the LA, SA and Volume. 25 ft 203 ft
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Joke Time What do you g
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Joke time Knock, knock Tad Tad’s all folks!
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