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Surface Area of Prisms and CylindersSection 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

Cylinder a solid with congruent circular bases

that lie in parallel planes

radius

base

base

altitude

height

Lateral face (4)

base

base

Prisms are classified by the shapes of their bases

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

Example

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

Example

Students

Students

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