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11-2 Surface Area of Prisms and Cylinders. Objective: To find the surface area of a prism and a cylinder. Essential Understanding: to find the surface area of a 3-D figure, find the sum of the areas of all the surfaces of the figure. Prisms.
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11-2Surface Area of Prisms and Cylinders Objective: To find the surface area of a prism and a cylinder
Essential Understanding:to find the surface area of a 3-D figure, find the sum of the areas of all the surfaces of the figure.
Prisms The later faces are rectangles and a lateral edge is an altitude. Some or all of the lateral faces are nonrectangular. The height of a prism is the length of the altitude, which forms a perpendicular segment that join the planes of the bases.
Cylinder Surface Area = LA + 2πr2 Lateral Area = 2πrh
3 cm 3 cm • Steps • Sketch and label each face of solid • Calculate the area of each face • Add each face to find the total area 3 cm 60π cm2 7 cm SAcylindar = 2πr2 + 2πrh W.S.11-2 A = (6π)7 7 cm A = πr2 A = πr2 9π 6π cm 42π Circumference = 2πr 9π 9π