 # OBJECTIVES: 1) TO FIND THE SURFACE AREA OF A PRISM. 2) TO FIND THE SURFACE AREA OF A CYLINDER. PDN: PG. 528 #1 10-3 Surface Area of Prisms and Cylinders.

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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 #1 10-3 Surface Area of Prisms and Cylinders M11.C.1 2.2.11.A

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.

Pentagonal Prism

Triangular Prism

Right Prism

Oblique Prism

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.

Examples: Finding Surface Area

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

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

Cylinder

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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