1. 12.2 Surface Area of Prisms and Cylinders

2. Types of Polyhedra: Prism: 3-D figure with two identical parallel faces –T–The bases are congruent, parallel faces –A–A prism is named by the shape of its base –L–Lateral faces are all faces excluding bases (rectangle)

3. Some examples: Rectangular Prism or right prism:

4. Triangular Prism:

5. Pentagonal Prism:

6. Hexagonal Prism:

7. Pyramid: 3-D figure with one base –A–A pyramid is named by the shape of its bases –F–Faces are triangles

8. Some examples: Square Pyramid:

9. Triangular Pyramid

10. Pentagonal Pyramid:

11. Other 3-Dimensional figures-have curved faces Cylinder: 2 congruent parallel bases

12. Cone: has one circular base and one vertex

13. Net: 2-D pattern that when folded is 3-D –D–Dotted lines indicate folds rectangular prism square pyramid

14. Surface Area: sum of the areas of the faces of the solid/polyhedron –S–Surface area is measured in square units Surface Area of a Right Prism: S = 2B + Ph B- area of the base P- perimeter of the base h- height

15. Active Inspire for examples!

16. Find the surface area of the right prism B A C 12in 15in 30in S = 2B + Ph S = 2 (30  15) + (90)  12 S = 900 + 1080 S = 1980 in²

17. Surface Area of a Right Cylinder: S = 2B + Ch B- area of the base C- circumference h- height

18. Active Inspire for examples

19. 9cm 4cm S = 2B + Ch S = 2(π 4²) + (2π  4)  9 S = 100.53 + 226.19 S = 326.72 cm²