 # 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.

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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.

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

To find the surface area, add the areas together.

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

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

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

To find the surface area, add the areas together.

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

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.

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

To find the surface area, add the areas together.

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

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

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