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Published byAlaina Davis Modified over 6 years ago
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LT 10.6: Know and apply surface area and volume for pyramids and cones
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Math Humor Q: What is refreshing and has triangular lateral faces? A: A Pyramint!!
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vertex of a pyramid The point opposite the base of the pyramid.
regular pyramid A pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles. slant height of a regular pyramid The distance from the vertex of a regular pyramid to the midpoint of an edge of the base. altitude of a pyramid A segment from the vertex to the plane of the base that is perpendicular to the plane of the base.
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Find the lateral area and surface area of the regular pyramid.
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vertex of a cone The point opposite the base of the cone.
axis of a cone The segment with endpoints at the vertex and the center of the base. right cone A cone whose axis is perpendicular to the base. oblique cone A cone whose axis is not perpendicular to the base.
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slant height of a right cone The distance from the vertex of a right cone to a point on the edge of the base. altitude of a cone A segment from the vertex to the plane of the base that is perpendicular to the plane of the base.
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Find the lateral area and surface area of the cone.
LA = ∏rl LA = ∏(8)(17) 136 ∏ SA = 64 ∏ ∏ 200 ∏
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Find the volume of the square pyramid with base edge length 9 cm and height 14 cm.
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Bonus Math Humor What has a circular base and is surrounded by water? Coney Island!!
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Find the volume of a cone.
1/3 ∏(16)2(30) 2560∏
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