1. 12.4 Volume of Prisms and Cylinders Goal: Find volumes of prisms and cylinders.

2. What is Volume Volume is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid. It's units are always "cubic", that is, the number of little element cubes that fit inside the figure.

3. POSTULATE 27: VOLUME OF A CUBE POSTULATE

4. POSTULATE 28: VOLUME CONGRUENCE POSTULATE If two polyhedra are congruent, then they have the same volume

5. POSTULATE 29: VOLUME ADDITION POSTULATE The volume of a solid is the Sum of the volumes of all its non- overlapping parts.

6. THEOREM 12.6: VOLUME OF A PRISM

7. THEOREM 12.7: VOLUME OF A CYLINDER

8. Find volumes of prisms and cylinders

9. Example

10. THEOREM 12.8: 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. Therefore, volume formulas for prisms and cylinders work for both right and oblique cylinders and prisms

11. Find the volume of a composite solid