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9-4 Surface Areas of Prisms and Cylinders

9-4 Surface Areas of Prisms and Cylinders. Objective – Find the surface area of prisms and cylinders. CA Geometry Standard 9.0.

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9-4 Surface Areas of Prisms and Cylinders

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  1. 9-4Surface Areas of Prisms and Cylinders Objective – Find the surface area of prisms and cylinders.

  2. 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.

  3. Types of Prisms Lateral Edges Lateral Faces Bases Bases Triangular Prism Pentagonal Prism h h Oblique Prism Right Prism

  4. Formulas You Need to Remember: • Area of a Triangle → A = bh ÷ 2 • Area of Parallelogram → A =bh • Area of Trapezoid → A = h(b1 + b2) ÷ 2

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

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

  7. #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

  8. Key Concept(s): • Lateral Area and Surface Area of a Cylinder Base Area Radius Lateral Area Radius Height h Surface Area Lateral Area Base Area

  9. #3 Finding the Surface Area of a Cylinder 5 cm • Find the surface area of a cylinder with height 10 cm and radius 5 cm in terms of pi. 10 cm

  10. #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

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

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

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

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