Presentation is loading. Please wait. # Section 12-1 Prisms. Prism a 3-dimensional figure with two congruent, parallel faces The congruent, parallel faces are called the bases. The bases lie.

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Section 12-1 Prisms

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

Base

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!

altitude

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

the parallel segments where adjacent lateral faces intersect Lateral Edges

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

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

A prism is named by the shape of its base.

Some Examples of Right Prisms: Rectangular Prism: Base

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

Triangular Prism: : Pentagonal Prism Base

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

Lateral area The sum of the areas of the lateral faces

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

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

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

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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