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Surface Area of Prisms and Cylinders Section 12.2

Surface Area of Prisms and Cylinders Section 12.2. Goal – to find the surface area of a prism and the surface area of a cylinder. Prisms & Cylinders. Polyhedron – a solid bounded by polygons. Prism – a polyhedron with two congruent parallel faces called bases.

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Surface Area of Prisms and Cylinders Section 12.2

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  1. Surface Area of Prisms and CylindersSection 12.2 Goal – to find the surface area of a prism and the surface area of a cylinder

  2. Prisms & Cylinders Polyhedron – a solid bounded by polygons Prism – a polyhedron with two congruent parallel faces called bases Cylinder – a solid with congruent circular bases that lie in parallel planes radius base base altitude height Lateral face (4) base base

  3. Prisms are classified by the shapes of their bases

  4. Surface Area verses Lateral Area of a Prism The lateral area of a polyhedron or prism is the sum of the area of its lateral faces. LA = Ph P = Perimeter of the base h = height of 3-D shape • The surface area of a polyhedron or prism is the sum of area if its faces. • SA = Ph + 2B B = Area of the base

  5. Example

  6. Surface Area verses Lateral Area of a Cylinder The lateral area of a cylinder is the area of its curved surface. LA = r = radius of the base h = height of 3-D shape • The surface area of a cylinder is equal to the sum of the lateral area and the areas of the two bases. • SA =

  7. Example

  8. Students

  9. Students

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