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11-5 Surface Areas of Pyramids and Cones Objective Find the surface area of pyramids and cones.

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CA Geometry Standard 9.0 Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders.

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Cones and Pyramids Pyramid Slant Height Height Slant Height Pyramid Cone

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Theorem 11-8 Lateral Area and Surface Area of a Regular Pyramid Lateral Area Base Perimeter Slant Height Surface Area Lateral Area Base Area B

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#1 Finding Surface Area of a Pyramid Find the surface area of a square pyramid with base edges 5 m and slant height 3 m.

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#2 Finding Surface Area of a Pyramid Find the surface area of a regular hexagonal pyramid with a slant height 20 in and sides 8 in.

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Theorem 10-9 Lateral Area and Surface Area of a Cone Lateral Area Radius Slant Height Surface Area Lateral Area Base Area

Slide 8

#3 Finding the Surface Area of a Cone The radius of the base of a cone is 5 m. Its slant height is 13 m. Find the surface area.