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Section 12-1 Prisms

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Prism a 3-dimensional figure with two congruent, parallel faces The congruent, parallel faces are called the bases. The bases lie in parallel planes.

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Base

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Altitude of a prism a segment joining the two base planes; it is perpendicular to both planes The length of the altitude is the height of the prism!

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altitude

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the faces that are not its bases In the shape of parallelograms Lateral faces of a prism

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the parallel segments where adjacent lateral faces intersect Lateral Edges

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Types of prisms 1.Right Prism: –h–have rectangles for the lateral faces –L–Lateral edges are altitudes 2.Oblique prism: –L–Lateral edges are NOT altitudes

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Example of a Right Prism: Example of an Oblique Prism: Height

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A prism is named by the shape of its base.

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Some Examples of Right Prisms: Rectangular Prism: Base

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If the edges have equal length then the rectangular prism is called a cube.

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Triangular Prism: : Pentagonal Prism Base

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Hexagonal Prism: And the list goes on….. Base

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Lateral area The sum of the areas of the lateral faces

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Theorem 12-1 The lateral area of a right prism equals the perimeter of a base times the height of the prism. L.A. = Ph

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Total Area The sum of the areas of all its faces T.A. = L.A. + Total Area Lateral Area # of Bases Area of a Base

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volume The number of cubic units enclosed by a three dimensional object. Therefore volume is measured in cubic units.

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Theorem 12-2 The volume of a right prism equals the area of a base times the height of the prism.

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