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**10-3 Surface Areas of Prisms and Cylinders**

Objective – Find the surface area of prisms and cylinders.

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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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**Types of Prisms Lateral Edges Lateral Faces Bases Bases**

Triangular Prism Pentagonal Prism h h Right Prism Oblique Prism

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**Theorem 10-1 Lateral Area and Surface Area of a Prism Base Perimeter h**

Height Base Area Surface Area Lateral Area Base Area

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**#1 Finding the Surface Area of a Prism**

Find the surface area of the regular hexagonal prism. P = 36 12 m 6 m

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**#2 Finding the Surface Area of a Prism**

Find the surface area of the triangular prism. 12 cm 5 cm 6 cm P = 16 5 cm 5 cm h 3 cm

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**Theorem 10-2 Lateral Area and Surface Area of a Cylinder Base Area**

Radius Lateral Area Radius Height h Surface Area Lateral Area Base Area

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**#3 Finding the Surface Area of a Cylinder**

Find the surface area of a cylinder with height 10 cm and radius 5 cm in terms of pi. 5 cm 10 cm

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**#4 Finding the Surface Area of a Cylinder**

Find the surface area of a cylinder with radius 6 ft and height 9 ft in terms of pi. 9 ft 6 ft

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