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11.3 and 11.5: Pyramids and Cones

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Pyramids Pyramid – A 3-D figure with one face (the base) that is any polygon and the other faces (the lateral faces) are triangles that meet at a common vertex. Regular Pyramid – Base is a regular polygon. Slant Height ( l ) – The length of an altitude of a lateral face of the pyramid. How are the height and slant height related to the edge of the base of a pyramid???

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Surface Area of Pyramids THEOREM 11.3 – Surface Area of Regular Pyramid The surface area of a regular pyramid is the sum of the lateral area and the area of the base.

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Surface Area of Pyramid The Great Pyramid of Giza, Egypt has a height of 481 ft. Each edge of its square base is about 756 ft. Find the area of the surface of the pyramid.

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Cones Cone – A 3-D figure with a circular base and a curved lateral surface How are the radius, height, and slant height related???

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Surface Area of Cones THEOREM 11.4 – Surface Area of Cone The surface area of a cone is the sum of the lateral area and the area of the base. Find the surface area of the following cone.

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Surface Area of Cones The radius of the base of a cone is 5 m. If the height of the cone is 12 m, find the surface area in terms of π.

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Volume of Pyramids THEOREM 11.8 – Volume of Pyramid The volume of a pyramid is one third the product of the area of a base and the height of the pyramid. The Pyramid arena in Memphis, TN has a base of area 300,000 ft 2. Its height is 321 ft. What is the volume of the pyramid?

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Volume of Pyramids Find the volume of the following pyramid.

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Volume of Cones THEOREM 11.9 – Volume of Cone The volume of a cone is one third the product of the area of the base and the height of the cone. Find the volume of the following cone in terms of π.

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Volume of Cones Find the volume of the following cone in terms of π.

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11.3 and 11.5: Pyramids and Cones Homework: p.620 #1-13 odd, 18 p.634 #7-14, 18

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