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Section 12-1

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. Base. Altitude of a prism. a segment joining the two base planes; it is perpendicular to both planes.

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Section 12-1

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  1. Section 12-1 Prisms

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

  3. Base Base

  4. 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!

  5. altitude

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

  7. Lateral Edges • the parallel segments where adjacent lateral faces intersect

  8. Types of prisms • Right Prism: • have rectangles for the lateral faces • Lateral edges are altitudes • Oblique prism: • Lateral edges are NOT altitudes

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

  10. A prism is named by the shape of its base.

  11. Base Base Some Examples of Right Prisms: Rectangular Prism:

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

  13. Base Base Base Base Triangular Prism: : Pentagonal Prism

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

  15. Lateral area • The sum of the areas of the lateral faces

  16. 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

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

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

  19. 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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