Study Guide Surface Area of Prisms and Cylinders Prisms are polyhedrons with congruent polygonal bases in parallel planes. Cylinders have congruent and parallel circular bases. An altitude is a perpendicular segment joining the planes of the bases. The length of an altitude is the height of the figure. Right prisms have lateral edges that are altitudes. A right cylinder is one whose axis is an altitude. Student Edition Pages 591-598 NAME DATE -.,.;,. _ In the following formulas, L is lateral and T is total surface area. Prisms L =Ph T=Ph + 2B Cylinders L = 2'ITrh T= 2'ITrh + 2'ITr2 Example: Find the surface area of the right cylinder. T = 2'ITrh + 2'ITr2 T = 21T(3.5)(6) + 21T(3.5)2 T = 66.5'IT or about 208.92 cm'' 3.5cm 6em ..... ------- ••.•.. ;' -, Find the lateral area and the surface area of each right prism or right cylinder. Round your answers to the nearest tenth. 1. 9m 2. 2.1 em I ,------ /' // 6.8cm 3. (35cm 3.8cm ----- " , 4. 1.2 m ~..,.......--~ ....•.. © Glencoe/McGraw-Hili 66 Geometry