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Warm-Up: p.22 Find the lateral area and surface area of each prism. 1.
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Warm-Up: p.22 Find the lateral area and surface area of each prism. 2.
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12.2 Homework Answers: p.26 (5 – 8)
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Section 12.3 Notes: Surface Areas of Pyramids and Cones
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Vocabulary! Regular Pyramid Lateral Faces Vertex
Regular Pyramid A pyramid that has a base that is a regular polygon and the altitude has an endpoint at the center of the base. Lateral Faces Vertex Faces that meet at the vertex. In a regular pyramid, they are all congruent isosceles triangles. The point where the lateral faces meet.
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Vocabulary! Lateral Edge Slant Height
Lateral Edge The intersection of two lateral faces. All the lateral edges are congruent in a regular pyramid. Slant Height The height of each lateral face, ℓ.
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Label the Regular Pyramid with the given information.
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Lateral Area of a Regular Pyramid
Vocabulary! Lateral Area of a Regular Pyramid
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Example 1: Find the lateral area of the square pyramid to the nearest tenth.
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Surface Area of a Regular Pyramid
Vocabulary! Surface Area of a Regular Pyramid
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Example 2: Find the surface area of the square pyramid to the nearest tenth.
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Example 3: Find the surface area of the regular pyramid to the nearest tenth.
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You Try! 1. Find the surface area of the square pyramid.
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You Try! 2. Find the surface area of the regular pyramid.
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Homework Answers
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Vocabulary! Lateral Area of a Cone
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Example 4: The cone represents a conical slate roof on a house. Find the lateral area.
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Not in workbook* Surface Area of a Cone *
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Example 5: Find the surface area of the cone. Round to the nearest tenth.
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You Try! 3. Find the surface area of the cone.
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Using the solid and model provided, write in the formulas for each solid.
Lateral Area Surface Area Prism Cylinder Pyramid Cone
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