1. Warm Up Find the perimeter and area of each polygon. 1. a rectangle with base 14 cm and height 9 cm 2. a right triangle with 9 cm and 12 cm legs 3. an equilateral triangle with side length 6 cm P = 46 cm; A = 126 cm 2 P = 36 cm; A = 54 cm 2

2. Surface Areas and Volumes of Prisms and Cylinders Sections 12-3, 12-4, 13-1

3. The net of a right prism can be drawn so that the lateral faces form a rectangle with the same height as the prism. The base of the rectangle is equal to the perimeter of the base of the prism. SA = Ph + 2B L = Ph

4. SA = Ph + 2B

5. Example: Finding Lateral Areas and Surface Areas of Prisms Find the lateral area and surface area of the right rectangular prism. Round to the nearest tenth, if necessary.

6. Example: Finding Lateral Areas and Surface Areas of Right Cylinders Find the lateral area and surface area of the right cylinder. Give your answers in terms of .

7. V = Bh

8. Example: Finding Volumes of Prisms Find the volume of the prism. Round to the nearest tenth, if necessary.

9. V = Bh

10. Example: Finding Volumes of Cylinders Find the volume of the cylinder. Give your answers in terms of  and rounded to the nearest tenth.

11. Lesson Quiz: Part I Find the volume of each figure. Round to the nearest tenth, if necessary. 1. a right rectangular prism with length 14 cm, width 11 cm, and height 18 cm 2. a cube with edge length 22 ft 3. a cylinder with diameter 16 in. and height 7 in. V = 2772 cm 3 V = 10,648 ft 3 V  1407.4 in 3