1. 11.5 Volumes of Prisms and Cylinders OBJ: SWBAT find volumes of prisms and cylinders, use the formula for density, and use volumes of prisms and cylinders.

2. Volume The number of cubic units contained in its interior. Formula: V = Bh

3. Example 1: Find the volume of each prism.

4. Example 2: Find the volume of each prism.

5. Volume of a Cylinder Formula: V= Bh = πr²h

6. Example 3: Find the volume of each cylinder.

7. Density The amount of matter that an object has in a given unit of volume Formula: Density =

8. Example 4 The diagram shows the dimensions of a standard gold bar at Fort Knox. Gold has a density of 19.3 grams per cubic centimeter. Find the mass of a standard gold bar to the nearest gram.

9. Example 5 The diagram shows the dimensions of a concrete cylinder. Concrete has a density of 2.3 grams per cubic centimeter. Find the mass of the concrete cylinder to the nearest gram.

10. Example 6 You are building a rectangular chest. You want the length to be 6 feet, the width to be 4 feet, and the volume to be 72 cubic feet. What should the height be?

11. Example 7 You are building a 6-foot-tall dresser. You want the volume to be 36 cubic feet. What should the area of the base be? Give a possible length and width.

12. Similar Solids Two solids of the same type with equal ratios of corresponding linear measures (i.e. heights, radii) Scale factor: ratio of the corresponding linear measures. Given a scale factor of k, then the ratio of their volumes is k³.

13. Example 8: Find the corresponding volume.

14. Example 9: Find the volume of the concrete block.