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12.2 Surface Area of Prisms & Cylinders

12.2 Surface Area of Prisms & Cylinders. Surface Area. Prism. A polyhedron with two congruent faces (bases) that lie in parallel planes. The lateral faces are parallelograms The height is the perpendicular distance between the bases Surface Area: the sum of the areas of its faces

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12.2 Surface Area of Prisms & Cylinders

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  1. 12.2 Surface Area of Prisms & Cylinders

  2. Surface Area

  3. Prism • A polyhedron with two congruent faces (bases) that lie in parallel planes. • The lateral faces are parallelograms • The height is the perpendicular distance between the bases • Surface Area: the sum of the areas of its faces • Lateral Area: the sum of the areas of the lateral faces

  4. Bases (2 Δs) RightOblique Lateral faces (3 ll’ograms) height Lateral edges (3) Triangular Prisms

  5. Surface Area of a Right Prism • The surface area, S, of a right prism is: S = 2B + Ph B = area of one base P = perimeter of one base h = height of the prism 2B represents the “base area” Ph represents the “lateral area”

  6. Find lateral area & surface area

  7. Find lateral area and surface area

  8. Find lateral area & surface area

  9. Find lateral area & surface area 3 cm 8 cm

  10. Cylinder • A solid with congruent circular bases that lie in parallel planes. • Lateral area: the area of its curved surface

  11. Surface Area of a Right Cylinder • The surface area of a right cylinder is: • S = 2B + Ph which can be written as • S = 2πr2 + 2πrh

  12. Find lateral area & surface area

  13. Find total surface area

  14. Classwork/Homework

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