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OBJECTIVE AFTER STUDYING THIS SECTION, YOU WILL BE ABLE TO FIND THE SURFACE AREAS OF PRISMS 12.1 Surface Areas of Prisms

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Polyhedra Solids with flat faces that are polygons and the lines where they intersect are called edges.

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Prisms A familiar type of polyhedron

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Parts of Prisms Bases - the two parallel and congruent polygons of a prism. Lateral Edges - the parallel edges joining the vertices of the bases. Lateral Faces - the faces that are NOT bases. Lateral faces are parallelograms. We name prisms by their BASES. Lateral edge

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Definitions The lateral surface area of a prism is the sum of the areas of the lateral faces. The total surface area of a prism is the sum of the prism’s lateral area and the areas of the two bases.

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Example Given the right triangular prism shown Find a. the lateral area (L.A.) b. the total area (T.A.) 20 14 13 12 15

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Summary A cube is a rectangular prism in which each face is a square. What is the total surface area of a cube in which each edge has a measure of 5? What is the total surface area of a cube in which each edge has a measure of 7? What would the generalization be if the edges were twice as great as what was given? Homework: worksheet

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