1. Surface Area of Prisms and Cylinders. Goal, to find the surface areas of prisms and cylinders.

2. Three-dimensional shapes like cylinders, cones, spheres, rectangular prisms, and triangular pyramids are solid figures or solids. When a solid is formed by polygons it is called a polyhedron. polyhedronNOT a polyhedron

3. A prism is a polyhedron with two congruent faces that lie in parallel planes To visualize the surface area of a prism, imagine unfolding so that it lies flat. We need to find the area of three pairs of rectangles The front and back The left and right sides. The top and bottom

4. 2 2 12 Find the surface area of the rectangular prism. 2 x 2 = 4 2 x 12 = 24 4 4 x 2 = 8 x 4 = 96 ----- 104 24 +24 +24 +24

5. 3 4 5 2 6 8 6 2 Find the surface area of the prism A = ½ b h 6 4 5 10 3 6 + 6 + 10 + 8 + 6 = 36 units 2

6. r = 3 h = 8 C = 2  3 = 18.84 18.84 x 8 = 150.72 28.26 Find the surface area of the cylinder C = 2  r A =  r 2 28.26 28.26 + 28.26 + 150.72 = 207.04 units 2 8