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Volume of Geometric Solids

Volume of Geometric Solids. Geometry Regular Program SY 2015-2016. Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson. What is VOLUME ?. The Geometric Solids. It refers to the measure of the amount of space contained in a solid.

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Volume of Geometric Solids

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  1. Volume of Geometric Solids Geometry Regular Program SY 2015-2016 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

  2. What is VOLUME? The Geometric Solids It refers to the measure of the amount of space contained in a solid. These solids take up space.

  3. What is VOLUME? The Geometric Solids It refers to the measure of the amount of space contained in a solid. It is measured in cubic units.

  4. Example: How many cubes of cubic unit can fit inside the solid?

  5. Example: How many cubes of cubic unit can fit inside the solid?

  6. Example: How many cubes of cubic unit can fit inside the solid?

  7. So how do we determine the volume of a solid? It takes 3x3 cubes to cover the base area. It takes 3x the base area to fill up the whole solid. Height h You need the base area h times. Base area

  8. VOLUME OF SOLIDS • PRISM • V = Base area x Height of prism • CYLINDER • V = Base area x Height of cylinder

  9. Exercises on VolumeSolve for the volume of each solid

  10. Exercises on VolumeSolve for the volume of each solid

  11. Exercises on VolumeSolve for the volume of each solid

  12. Try these!Which has a greater volume?

  13. Try these!Which has a greater volume?

  14. Try these!Which has a greater volume?

  15. Try these!Solve for the volume of each solid

  16. Try these!Solve for the volume of each solid

  17. VOLUME OF SOLIDS • PYRAMID • V = One-third of the volume of the prism with same base and height

  18. VOLUME OF SOLIDS • CONE • V = One-third of the volume of the cylinder with same base & height

  19. SUMMARY: VOLUME

  20. Exercises on VolumeSolve for the volume of each solid

  21. Exercises on VolumeSolve for the volume of each solid

  22. Exercises on VolumeSolve for the volume of each solid

  23. Extra Exercises on VolumeSolve for the volume of each given solid

  24. Extra Exercises on VolumeSolve for the volume of each given solid

  25. Extra Exercises on VolumeSolve for the volume of each given solid

  26. Extra Exercises on VolumeSolve for the volume of each given solid

  27. Extra Exercises on VolumeSolve for the volume of the liquid.

  28. Extra Exercises on VolumeSolve for the volume of the liquid.

  29. Extra Exercises on Volume

  30. Extra Exercises on Volume (seatwork) Solve the following: 1. Find the volume of an oblique prism inclined 45o from the base, if the area of the base is 20 cm2 and the lateral edge is 15 cm. 2. Find the volume of a right cylinder with a cylindrical hole if the larger radius is 10 inches, the smaller radius is 8 inches and the height is 9 inches.

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