1. Lesson 3 Menu 1.Find the lateral area of the prism shown. 2.Find the surface area of the prism shown. Round to the nearest tenth if necessary. 3.Find the height of a rectangular prism if the surface area is 228 square centimeters and the base has a length of 4 centimeters and a width of 9 centimeters.

2. Lesson 3 MI/Vocab axis right cylinder Find lateral areas of cylinders. Find surface areas of cylinders.

3. Lesson 3 KC1

4. Lesson 3 Ex1 A fruit juice can is cylindrical with aluminum sides and bases. The can is 12 centimeters tall, and the diameter of the can is 6.3 centimeters. How many square centimeters of aluminum are used to make the sides of the can? The aluminum sides of the can represent the lateral area of the cylinder. If the diameter of the can is 6.3 centimeters, then the radius is 3.15 centimeters. The height is 12 centimeters. Use the formula to find the lateral area.

5. Lesson 3 Ex1 Answer:About 237.5 square centimeters of aluminum are used to make the sides of the can. Lateral area of a cylinder Use a calculator.

6. A.A B.B C.C D.D Lesson 3 CYP1 A.1357 in 2 B.678.6 in 2 C.339.3 in 2 D.432 in 2 A set of toy blocks is sold in a cylindrically shaped container. A product label wraps around all sides of the container without any overlaps or gaps. How much paper is used to make the label the appropriate size if the diameter of the container is 12 inches and the height is 18 inches? Round to the nearest tenth.

7. Lesson 3 KC2

8. Lesson 3 Ex2 Surface Area of a Cylinder Find the surface area of the cylinder. The radius of the base and the height of the cylinder are given. Substitute these values in the formula to find the surface area.

9. Lesson 3 Ex2 Surface Area of a Cylinder Answer:The surface area is approximately 2814.9 square feet. Surface area of a cylinder Use a calculator.

10. Lesson 3 CYP2 1.A 2.B 3.C 4.D A.1156.1 ft 2 B.955.0 ft 2 C.578.1 ft 2 D.3015.9 ft 2 Find the surface area of the cylinder to the nearest tenth.

11. Lesson 3 Ex3 Find Missing Dimensions Use the formula for surface area to write and solve an equation for the radius. Find the radius of the base of a right cylinder if the surface area is 528  square feet and the height is 10 feet. Surface area of a cylinder Substitution Simplify. Divide each side by

12. Lesson 3 Ex3 Find Missing Dimensions Since a radius of a circle cannot have a negative value, –22 is eliminated. Answer: The radius of the base is 12 feet. Subtract 264 from each side. Factor. Solve.

13. 1.A 2.B 3.C 4.D Lesson 3 CYP3 A.36 in. B.22 in. C.14 in. D.28 in. Find the radius of the base of a right cylinder if the surface area is 1008  square inches and the height is 22 inches.