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

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HONORS GEOMETRY Surface Area of Prisms

Prism Polyhedron with two parallel congruent bases.

Which are the Bases?

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

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

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

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

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

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

Lateral Area of a Prism

Surface Area of a Prism

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

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

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

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

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

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.

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!

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