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LT 10.6: Know and apply surface area and volume for pyramids and cones

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Presentation on theme: "LT 10.6: Know and apply surface area and volume for pyramids and cones"— Presentation transcript:

1 LT 10.6: Know and apply surface area and volume for pyramids and cones

2 Math Humor Q: What is refreshing and has triangular lateral faces? A: A Pyramint!!

3 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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5 Find the lateral area and surface area of the regular pyramid.

6 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.

7 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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9 Find the lateral area and surface area of the cone.
LA = ∏rl LA = ∏(8)(17) 136 ∏ SA = 64 ∏ ∏ 200 ∏

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11 Find the volume of the square pyramid with base edge length 9 cm and height 14 cm.

12 Bonus Math Humor What has a circular base and is surrounded by water? Coney Island!!

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14 Find the volume of a cone.
1/3 ∏(16)2(30) 2560∏


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