`NAME ______________________________________________ DATE____________ PERIOD _____11-5 Surface Area: Pyramids andCones(Pages 578­582)A pyramid is a solid figure that has a polygon for a base and triangles for sides, or lateral faces. Pyramids have just one base. The lateral faces intersect at a point called the vertex. Pyramids are named for the shapes of their bases. For example, a triangular pyramid has a triangle for a base. A square pyramid has a square for a base. The slant height of a pyramid is the altitude of any of the lateral faces of the pyramid. To find the surface area of a pyramid, you must find the area of the base and the area of each lateral face. The area of the lateral surface of a pyramid is the area of the lateral faces (not including the base). A circular cone is another solid figure and is shaped like some ice cream cones. Circular cones have a circle for their base.Surface Area of a Circular Cone The surface area of a cone is equal to the area of the base, plus the lateral area of the cone. The surface area of the base is equal to r 2. The lateral area is equal to r , where is the slant height of the cone. So, the surface area of the cone, SA, is equal to r 2 r .ExamplesFind the surface area of the given geometric solids. b. a cone with a radius of 4 cm and a slant height of 12 cmUse the formula. SA SA SA SA r r2 (4)2 (4)(12) 50.3 150.8 201.1 cm2a. a square pyramid with a base that is 20 m on each side and a slant height of 40 mFind the surface area of the base and the lateral faces. Base: Each triangular side: A s2 or (20)2 A1 1 bh or (20)(40) 2 2A 400 SA 400 4(400) SA 2000 m2A 400 Area of the base plus area of the four lateral sides.PracticeFind the surface area of each solid. Round to the nearest tenth. 1.18.2 m 28.7 ft 10 m 10 ft 10 ft 12.3 mm 8 mm 8 mm2.3.4.11.4 in.5.3.1 in. 15.3 in. 2.2 in. 2.2 in.6.21 cm 17 cm7. Standardized Test Practice What is the surface area of a square pyramid where the length of each side of the base is 10 meters and the slant height is also 10 meters? A 300 m2 B 400 m2 C 500 m2 D 1000 m2©Glencoe/McGraw-HillAnswers: 1. 885.9 m2 2. 674 ft2 3. 260.8 mm2 4. 548.0 in2 5. 18.5 in2 6. 2029.5 cm2 7. A94Glencoe Pre-Algebra`

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