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Surface Areas of Pyramids and Cones
Geometry 10-4
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Lateral Faces and Bases in Prisms and Pyramids
Surface Area
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Pyramid – A polyhedron with a base, and the remaining faces are triangles meeting at one point
Vertex of a Pyramid – The point where triangles meet Altitude – The height of a pyramid Slant Height – The height of a lateral face triangle in a pyramid Vocabulary
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Surface Area
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Surface Area
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Surface Area
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½ bl Surface Area
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½ nbl or ½ pl Surface Area
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½ anb or ½ ap Surface Area
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½ anb + ½ nbl = ½ nb ( a + l ) Surface Area
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½ ap + ½ pl = ½ p ( a + l ) Surface Area
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Surface Area of a Pyramid
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Surface Area
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πr2 Surface Area
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2πr / 2πl = r/l Surface Area
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πl2 r / l = l π r Surface Area
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πr ( r + l ) Surface Area
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Surface Area
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Example
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Example
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Example
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Example
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Example
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Example
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Surface Area - Example
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Practice Problems
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Practice Problems
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Practice Problems
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Practice Problems
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Practice Problems
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Practice Problems
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Practice Problems
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Practice Problems
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Practice Problems
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Practice Problems
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Practice Problems
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Practice Problems
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Pages 540 – 543 2 – 20 even, 26, 32, 62 Homework
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