1. Objectives: Calculate the Volume of Prisms Calculate the Volume of Cylinders

2. Recall: Surface area means the total area it would take to cover the surface of a 3D solid. It is the SUM of the areas of all the faces. To find the Surface Area of a 3D shape: Draw its net, label the measurements, find the area of each shape, and ADD.

3. Volume The volume of a solid is the amount of material it would take to fill up the inside of the solid.

4. 1

6. 3

7. Example 4 Find the volume of the regular hexagonal prism. 8 m 10 m

8. What about this prism? Cavalieri’s Principle:

9. Example 5 Find the volume of the oblique rectangular prism.

10. What about the volume of a cylinder?

11. 2

12. Example 3: A rectangle has vertices (2, 0), (6, 0), (2, 5), and (6, 5). It is rotated around the x-axis. Find the volume of the resulting solid.

13. Example 4: The same rectangle fro Ex. 3 is rotated around the y-axis. Find the volume of the resulting solid.

15. Example 4: Find the volume of this oblique cylinder.