1. 7.2 What Is The Surface Area? Pg. 6 Surface Area of Prisms and Cylinders

2. 7.2 – What Is The Surface Area? Surface Area of Prisms and Cylinders So far this chapter, you have investigated the names given to three-dimensional solids. Today you will explore different ways to find the surface area of a prism.

3. 7.6 – NETS AND SURFACE AREA Another way to represent a solid is with a net. When folded, a net will form the three dimensional solid it represents.

4. a. With your team, predict what the three- dimensional solid formed by the nets will look like. cylinderTriangular prism cube Rectangular prism

5. b. Find the surface area of the prisms by finding the area of each face and adding them together. Don't forget units.

6. 5 12 5 10 12 10 13 5 10 30 120 130 50 SA = 360cm 2

7. 18 90 210 180 150 SA = 666m 2

8. c. Obtain the resource pages from your teacher. Cut out each net and fold along the lines to create the three-dimensional solids. Label the bases and the height of the prisms.

9. Base height

10. Base height

11. Base height

12. Base height

13. Base height

14. d. Amber has a hard time visualizing the shape. She wants to come up with a formula that will work for any prism. Examine the nets you cut out and come up with a formula that will let you find the surface area of any prism. SA = 2B + PH

15. 7.7 – SURFACE AREA Use the new formula to find the surface area of each shape.

16. 30 22 7 SA = 2B + PH SA = 2(30) + (22)(7) SA = 60 + 154 SA = 214m 2

17. ½(6)(8) = 24 9 SA = 2B + PH SA = 2(24) + (24)(9) SA = 48 + 216 SA = 264ft 2 24 10

18. 7.8 – TURNING PRISMS What if the bases are not at the top and bottom of the prism? a. Explain how the shape at right is a prism. Is it a rectangular prism? Why or why not? Two congruent parallel bases Triangular prism

19. b. Shade in one of the bases of the prism. Then find the base area. 3 30

20. c. Find the surface area. Don't forget units.

21. 7.9 – CYLINDERS What if the base is a circle? Find the surface area of the cylinder. a. How do you find the area of one base? Perimeter?

22. b. Change the formula you developed by plugging in the circle formulas. Then find the surface area of the cylinder.