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.

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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

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

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

SA = Ph + 2B

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.

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 .

V = Bh

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

V = Bh

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

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  in 3