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Surface Area of Prisms Unit 5, Lesson 2

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What is a Prism? Definition: –A three dimensional figure with 2 congruent polygon bases and rectangular sides. Finding the Surface Area: –Add up the areas of all of the sides.

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Example #1 Calculate the surface area of: Front and back are the same:

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Example #1 Calculate the surface area of: Both sides are the same:

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Example #1 Calculate the surface area of: Top and bottom are the same:

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Example #2 Calculate the surface area of:

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Example #2 Calculate the surface area of:

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Example #2 Calculate the surface area of:

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Example #2 Calculate the surface area of:

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Example #3 Find the surface area of a rectangular prism with the length of 4in, the width of 5in, and height of 6in. 148 in 2

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Definitions: Lateral Faces – the sides of a prism that are not the bases. Lateral Edge – the edge where two lateral faces meet.

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Lateral Area Lateral Area – the sum of the lateral faces. L.A. = ph –p is the perimeter of the base –h is the height

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Example 1: Find the Lateral Area 5 L.A. = ph L.A. = (5+5+5) (8) L.A. = (15)(8) L.A. = 120 units 2 5 5 8

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Example 2: In a rectangular prism, the length is 4 cm, the width is 6 cm, and the height is 9 cm. What is the lateral area? L.A. = (4+6+4+6) (9) L.A. = (20)(9) L.A. = 180 cm 2

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