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Unit 8 Lesson 4 – Volume of Pyramids and Cylinders

Unit 8 Lesson 4 – Volume of Pyramids and Cylinders . Number of cubic units contained inside a shape. Volume:. Cavalieri’s Principle:. If two solids have the same height and the same cross-sectional area at every level, then they have the same volume. Volume of a cube:. V = s 3. H.

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Unit 8 Lesson 4 – Volume of Pyramids and Cylinders

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  1. Unit 8 Lesson 4 – Volume of Pyramids and Cylinders

  2. Number of cubic units contained inside a shape Volume:

  3. Cavalieri’s Principle: If two solids have the same height and the same cross-sectional area at every level, then they have the same volume.

  4. Volume of a cube: V = s3

  5. H Volume of a Prism: V =BH B = area of the base H = Height of the solid

  6. Volume of a cylinder: V =BH V =r2H H

  7. Volume of a Pyramid: B = Area of base H = Height of solid H

  8. Volume of a Cone: H

  9. 1. Find the volume of the prism. V = BH V = (30)(8) u3 V = 240 = (5)(6) = 30 B = bh

  10. 2. Find the volume of the prism. V = BH V = (20)(2) cm3 V = 40

  11. 3. Find the volume of the cylinder. V =BH V = r2H V = (3)2(21) V = (9)(21) V = 189yd3

  12. 5 3 8 8 4. Find the volume of the pyramid. 64 s2 = (8)2 = B =

  13. 5. Find the volume of the pyramid. s2 = (10)2 = B = 100

  14. 6. Find the volume of the cone. 4 4

  15. 7. Find the volume of the cone. 9.53 1

  16. 8. Find the volume of the solid. V = pyramid + prism bh B = (8)(8) B = 64 B =

  17. 9. Find the volume of the solid. V = cone + cylinder 5ft 12ft 4ft

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