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

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

Prisms A familiar type of polyhedron

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

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.

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

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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