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

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Presentation transcript:

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

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

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.

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

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.

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.

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

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

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

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