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Published byNelson Thomas Modified over 4 years ago

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The surface area of a prism is the entire area of the outside of the object. To calculate surface area, find the area of each side and add them together. There are 6 faces to this rectangular prism. Front and back are the same Top and Bottom are the same Two ends are the same.

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To find the surface area, add the areas together. Top and Bottom A = bh A = (90)(130) A = 11700 cm 2 Ends A = bh A = (90)(50) A = 4500 cm 2 Front and back A = bh A = (130)(50) A = 6500 cm 2 Total Surface Area = 2(top and Bottom) + 2(Ends) + 2(Front and Back) = 2(11700) + 2(4500) + 2(6500) = 45 400 cm 2

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To find the surface area, add the areas together.

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Top and Bottom A = bh A = (4)(10) A = 40 m 2 Ends A = bh A = (2)(4) A = 8 m 2 Front and back A = bh A = (2)(10) A = 20 m 2 Total Surface Area = 2(top and Bottom) + 2(Ends) + 2(Front and Back) = 2(40) + 2(8) + 2(20) = 136 m 2

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The surface area of a triangular prism is the entire area of the outside of the object. To calculate surface area, find the area of each side and add them together. There are 5 faces to this triangular prism. Two ends are the same. Three sides depend on the type of triangle: EquilateralIsoscelesScalene

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To find the surface area, add the areas together. Bottom A = bh A = (1.3)(2.1) A = 2.73 m 2 Ends A = bh 2 A = (1.3)(0.5) 2 A = 0.325 m 2 Front A = bh A = (2.1)(0.5) A = 1.05 m 2 Total Surface Area = Bottom + 2(Ends) + Front + Back = 2.73 + 2(0.325) + 1.05 + 2.52 = 6.95 m 2 Back A = bh A = (2.1)(1.2) A = 2.52 m 2

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To find the surface area, add the areas together.

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Sides A = bh A = (1)(3) A = 3 m 2 Ends A = bh 2 A = (1)(0.866) 2 A = 0.433 m 2 Total Surface Area = 2(Ends) + 3(sides) = 2(0.433) + 3(3) = 9.866 m 2 Using Pythagorean Theorem you can find the height of the triangle. c 2 = a 2 + b 2 a 2 = c 2 - b 2 a 2 = (1) 2 - (0.5) 2 a 2 = 1 - 0.25 a 2 = 0.75 a = 0.866

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The surface area of a pyramid is the entire area of the outside of the object. To calculate surface area, find the area of each side and add them together. There are 5 faces to this triangular pyramid. One square bottom Four triangular sides are the same.

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To find the surface area, add the areas together. Bottom A = s 2 A = (4)(4) A = 16 cm 2 sides A = bh 2 A = (4)(3) 2 A = 6 cm 2 Total Surface Area = Bottom + 4(sides) = 16 + 4(6) = 40 cm 2

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To find the surface area, add the areas together.

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Bottom A = s 2 A = (5)(5) A = 25 cm 2 sides A = bh 2 A = (5)(6) 2 A = 15 cm 2 Total Surface Area = Bottom + 4(sides) = 25 + 4(15) = 85 cm 2

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CLASS WORK Check solutions to Lesson 21(2) Copy notes and examples from Lesson 22 Complete Lesson 22 worksheet

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