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9-4 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 Pentagonal Prism Triangular Prism Lateral Faces Lateral Edges Bases Oblique Prism h Right Prism h

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Formulas You Need to Remember: Area of a Triangle A = bh ÷ 2 Area of Parallelogram A =bh Area of Trapezoid A = h(b 1 + b 2 ) ÷ 2

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Key Concept(s): Lateral Area and Surface Area of a Prism Lateral Area Base Perimeter Height Surface Area Lateral Area Area of the Base(s) Base Perimeter h Base Area

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Find the surface area of the regular hexagonal prism. 12 m 6 m #1 Finding the Surface Area of a Prism P = 36

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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

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Key Concept(s): Lateral Area and Surface Area of a Cylinder Lateral Area RadiusHeight Surface Area Lateral Area Base Area Radius h Base Area

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#3 Finding the Surface Area of a Cylinder 10 cm 5 cm Find the surface area of a cylinder with height 10 cm and radius 5 cm in terms of pi.

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#4 Finding the Surface Area of a Cylinder 9 ft 6 ft Find the surface area of a cylinder with radius 6 ft and height 9 ft in terms of pi.

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Example: Find the surface area of a cylinder with radius 3 ft and height 6 ft. S.A. = 2πrh + 2B 7 ft 5 ft

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Example: Find the surface area of the triangular prism. S.A. = ph + 2B 7 cm 5 cm 4 cm 10 cm

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Homework Pre-AP Textbook pg.491 #1-14 Evens

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