10-4 Surface Areas of Pyramids and Cones

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Presentation transcript:

10-4 Surface Areas of Pyramids and Cones Objective – Find the surface area of pyramids and cones.

Geometry Standard M(20-24) 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.

Cones and Pyramids Slant Height Height Pyramid Pyramid Slant Height

Theorem 10-3 Lateral Area and Surface Area of a Regular Pyramid Base Perimeter Slant Height B Surface Area Lateral Area Base Area

#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.

#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.

Theorem 10-4 Lateral Area and Surface Area of a Cone Lateral Area Radius Slant Height Surface Area Lateral Area Base Area

#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.