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OBJECTIVES: 1) TO FIND THE SURFACE AREA OF A PRISM. 2) TO FIND THE SURFACE AREA OF A CYLINDER. PDN: PG. 528 # Surface Area of Prisms and Cylinders M11.C A

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Vocab A prism is a polyhedron with two congruent parallel faces. They are the bases. Other faces are lateral faces. You name a prism by the shape of its base. An altitude of a prism is a perpendicular segment that joins the planes of the bases. The height of the prism is the length of an altitude.

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Pentagonal Prism

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Triangular Prism

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Right Prism

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Oblique Prism

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Vocab The lateral area of a prism is the sum of the areas of the lateral faces. The surface area is the sum of the lateral area and the area of the two bases.

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Examples: Finding Surface Area

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Vocab Like a prism, a cylinder has two congruent parallel bases. However, the bases of a cylinder are circles. An altitude of a cylinder is a perpendicular segment that joins the planes of the bases. The height h of a cylinder is the length of an altitude. Right Cylinder

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Theorem: Lateral & Surface Area of a Cylinder The lateral area of a right cylinder is the product of the circumference of the base and the height of the cylinder. L.A. = 2Πrh or L.A. = Πdh The surface area of a right cylinder is the sum of the lateral area and the areas of the two bases. S.A. = L.A. + 2B or S.A. = 2Πrh + 2Πr²

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Cylinder

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Example: Finding Surface Area of a Cylinder The radius of the base of a cylinder is 6 feet and its height is 9 feet. Find its surface area in terms of Π.

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Check Understanding Pg. 531 #3

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