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11.4 Volumes of Prisms and Cylinders

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.

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11.4 Volumes of Prisms and Cylinders

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  1. 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.

  2. 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

  3. 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

  4. Finding the Volume of a Triangular Prism • What is the approximate volume of the triangular prism?

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

  6. Finding the Volume of a Cylinder • What is the volume of the cylinder in terms of pi?

  7. More Practice!!!!! • Homework – Textbook p. 721 # 6 – 16 ALL.

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