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10-4 Surface Areas of Pyramids and Cones
Objective – Find the surface area of pyramids and cones.
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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.
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Cones and Pyramids Slant Height Height Pyramid Pyramid Slant Height
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Theorem 10-3 Lateral Area and Surface Area of a Regular Pyramid
Base Perimeter Slant Height B Surface Area Lateral Area Base Area
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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 10-4 Lateral Area and Surface Area of a Cone Lateral Area
Radius Slant Height Surface Area Lateral Area Base Area
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#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.
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