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Lesson 11-5 Pages 578-582 Surface Area: Pyramids and Cones
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What you will learn! 1. How to find surface area of pyramids. 2. How to find surface area of cones.
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Lateral face Slant height Lateral area
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What you really need to know! The sides of a pyramid are called lateral faces.
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What you really need to know! The sides are triangles. The height of each lateral face is called the slant height.
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What you really need to know! The sum of the areas of the lateral faces is called the lateral area of a pyramid.
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What you really need to know! The surface area of a pyramid is the lateral area plus the area of the base.
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What you really need to know! The surface area of square pyramid is made up of 4 triangles and a square.
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What you really need to know! The surface area S of a cone with slant height l and radius r is the lateral area plus the area of the base.
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What you really need to know! S = r l + r 2 The lateral area of a cone with slant height l is one-half the circumference of the base, 2 r, times l.
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Link to Pre-Made Lesson
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Example 1: Find the surface area of the square pyramid:
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Example 2: A canopy is in the shape of a square pyramid that is 3.4 meters on each side. The slant height is 2 meters. How much canvas is used for the canopy?
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Canvas is not needed for the square base. We only need to find the lateral area.
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Example 3: Find the surface area of the cone. Round to the nearest tenth.
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Page 580 Guided Practice #’s 4-7
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Pages 578-580 with someone at home and study examples! Read:
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Homework: Pages 580-582 #’s 8-13, 17-21, 24-31, 34-39
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Page 751 Lesson 11-5
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