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HONORS GEOMETRY 12.2. Surface Area of Prisms. Prism Polyhedron with two parallel congruent bases.

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Presentation on theme: "HONORS GEOMETRY 12.2. Surface Area of Prisms. Prism Polyhedron with two parallel congruent bases."— Presentation transcript:

1 HONORS GEOMETRY 12.2. Surface Area of Prisms

2 Prism Polyhedron with two parallel congruent bases.

3 Which are the Bases?

4 Parts of Prisms: Lateral Faces: Sides that are not the base Lateral Edges: Where lateral faces intersect (always parallel and congruent) Base Edges: Where a lateral face and a base intersect Altitude: Perpendicular segment that joins the planes of the bases Height: Length of the altitude

5 Example One: Identify the bases, lateral faces, lateral edges, and base edges for each polyhedron

6 Example Two: Identify the bases, lateral faces, lateral edges, and base edges for each polyhedron

7 You Try! Identify the bases, lateral faces, lateral edges, and base edges for each polyhedron

8 Lateral Area Lateral Area “L” of a prism is the sum of the areas of the lateral faces. ** BASES NOT INCLUDED

9 Surface Area The sum of the lateral area and the areas of the bases

10 Lateral Area of a Prism

11 Surface Area of a Prism

12 Example Three: Find the lateral area and surface area of the following prism

13 Example Four: Find the lateral area and surface area of the following prism

14 Example Five: Find the lateral area and surface area of the following prism

15 You Try!! Find the surface area and lateral area of each of the prisms below

16 Example Six: The surface area of a cube is 294 square inches. Find the length of a lateral edge.

17 You Try! A right rectangular prism has a surface area of 1020 square inches and a length of 6 inches and a width of 9 inches. Find the height.

18 Practice Problems Try some on your own/in your table groups As always don’t hesitate to ask me questions if you are confused! OR talk to your table mates! They are your greatest resource!

19 Exit Ticket: Determine the Lateral Area and Surface Area of the following prism


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