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HONORS GEOMETRY 12.2. Surface Area of Prisms
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Prism Polyhedron with two parallel congruent bases.
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Which are the Bases?
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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
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Example One: Identify the bases, lateral faces, lateral edges, and base edges for each polyhedron
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Example Two: Identify the bases, lateral faces, lateral edges, and base edges for each polyhedron
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You Try! Identify the bases, lateral faces, lateral edges, and base edges for each polyhedron
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Lateral Area Lateral Area “L” of a prism is the sum of the areas of the lateral faces. ** BASES NOT INCLUDED
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Surface Area The sum of the lateral area and the areas of the bases
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Lateral Area of a Prism
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Surface Area of a Prism
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Example Three: Find the lateral area and surface area of the following prism
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Example Four: Find the lateral area and surface area of the following prism
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Example Five: Find the lateral area and surface area of the following prism
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You Try!! Find the surface area and lateral area of each of the prisms below
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Example Six: The surface area of a cube is 294 square inches. Find the length of a lateral edge.
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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.
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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!
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Exit Ticket: Determine the Lateral Area and Surface Area of the following prism
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