1. Volume of Geometric Solids Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

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

3. The Geometric Solids What is VOLUME? 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. You need the base area h times. Base area Height h

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

9. Exercises on Volume Solve for the volume of each solid

12. Try these! Which has a greater volume?

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

17. How about the volume of a pyramid? https://www.youtube.com/watch?v=OUDjY6vJ8pw

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

19. How about the volume of a cone? https://www.youtube.com/watch?v=0ZACAU4SGyM

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

21. VOLUME PRISM x CYLINDER x PYRAMID x CONE x SUMMARY: VOLUME

22. Exercises on Volume Solve for the volume of each solid

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

29. Extra Exercises on Volume Solve for the volume of the liquid.

31. Extra Exercises on Volume

32. Extra Exercises on Volume (seatwork) Solve the following: 1. Find the volume of an oblique prism inclined 45 o from the base, if the area of the base is 20 cm 2 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.