Surface Area of Prisms and Cylinders Section 12.2

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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

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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
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Prisms are classified by the shapes of their bases
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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

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Example
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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

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Example
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Students
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Students