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Understand how to calculate the surface areas of right prisms and cylinders with the help of specific formulas and the dimensions of their bases, perimeters, circumferences, radii, and heights.
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Section 12-2 Surface Area of Prisms and Cylinders
Lateral area • The sum of the areas of a polyhedron’s lateral faces.
Surface area • The sum of the areas of a polyhedron’s faces.
Theorem 12-2 Surface Area of a Right Prism • The surface area S of a right prism can be found using the formula, where B is the area of the base, P is the perimeter of a base and h is the height.
Theorem 12-3Surface Area of a Right Cylinder • The surface area S of a right cylinder is where B is the area of the base, C is the circumference of a base, r is the radius of a base and h is the height.