1. – I can find the surface areas of prisms, pyramids, and cylinders
PA11.08 Surface Area
– I can find the surface areas of prisms, pyramids, and cylinders

2. Identify the figure described.
Warm Up
Identify the figure described.
1. two parallel congruent faces, with the other faces being parallelograms
2. a polyhedron that has a vertex and a face at opposite ends, with the other faces being triangles
prism
pyramid 2

3. The surface area of a three- dimensional figure is the sum of the areas of its surfaces. To help you see all the surfaces of a three-dimensional figure, you can use a net. 3

4. A net is the pattern made when the surface of a three-dimensional figure is laid out flat showing each face of the figure.

5. What is the surface area of this prism?

6. Find the surface area S of the prism.
Draw a net to help you see each face of the prism.
Use the formula A = lw to find the area of each face.
The surface area is 188 in2. 6

7. Find the surface area S of each prism.7

8. Add the areas of each face.
Front: 9  7 = 63
63  2 = 126
Top: 9  5 = 45
45  2 = 90
Side: 7  5 = 35
35  2 = 70
S = = 286
Add the areas of each face.
The surface area is 286 cm2. 8

9. 6 in.
3 in.
11 in.
The surface area is 234 in2. 9

10. 8 cm
10 cm
6 cm
The surface area is 376 cm2. 10

11. S = area of square + 4  (area of triangular face)‏
The surface area is 161 ft2. 11

12. S = area of square + 4  (area of triangular face)‏
The surface area is 125 ft2. 12

13. Find the surface area of each figure. Use 3.14 for .
1. rectangular prism with base length 6 ft, width ft, and height 7 ft
2. cylinder with radius 3 ft and height 7 ft
3. Find the surface area of the figure shown.
214 ft2
188.4 ft2
208 ft2 13

14. Square Pyramid
4.8 ft
5.6 ft

15. Triangular Prism
6 in
3 in