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SURFACE AREA OF PRISMS AND PYRAMIDS

SURFACE AREA OF PRISMS AND PYRAMIDS. LESSON 22. Surface Area of Prisms. 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.

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SURFACE AREA OF PRISMS AND PYRAMIDS

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  1. SURFACE AREA OF PRISMS AND PYRAMIDS LESSON 22

  2. Surface Area of Prisms 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.

  3. Surface Area of Prisms To find the surface area, add the areas together. Top and Bottom A = bh A = (90)(130) A = 11700 cm2 Ends A = bh A = (90)(50) A = 4500 cm2 Front and back A = bh A = (130)(50) A = 6500 cm2 Total Surface Area = 2(top and Bottom) + 2(Ends) + 2(Front and Back) = 2(11700) + 2(4500) + 2(6500) = 45 400 cm2

  4. YOU TRY! To find the surface area, add the areas together.

  5. SOLUTION To find the surface area, add the areas together. Top and Bottom A = bh A = (4)(10) A = 40 m2 Ends A = bh A = (2)(4) A = 8 m2 Front and back A = bh A = (2)(10) A = 20 m2 Total Surface Area = 2(top and Bottom) + 2(Ends) + 2(Front and Back) = 2(40) + 2(8) + 2(20) = 136 m2

  6. Surface Area of Triangular Prisms 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: Equilateral Isosceles Scalene

  7. Surface Area of Triangular Prisms To find the surface area, add the areas together. Bottom A = bh A = (1.3)(2.1) A = 2.73 m2 Ends A = bh  2 A = (1.3)(0.5)  2 A = 0.325 m2 Front A = bh A = (2.1)(0.5) A = 1.05 m2 Back A = bh A = (2.1)(1.2) A = 2.52 m2 Total Surface Area = Bottom + 2(Ends) + Front + Back = 2.73 + 2(0.325) + 1.05 + 2.52 = 6.95 m2

  8. YOU TRY! To find the surface area, add the areas together.

  9. SOLUTION To find the surface area, add the areas together. a2 = c2 - b2 a2 = (1)2 - (0.5)2 a2 = 1 - 0.25 a2 = 0.75 a = 0.866 Sides A = bh A = (1)(3) A = 3 m2 Ends A = bh  2 A = (1)(0.866)  2 A = 0.433 m2 Using Pythagorean Theorem you can find the height of the triangle. c2 = a2 + b2 Total Surface Area = 2(Ends) + 3(sides) = 2(0.433) + 3(3) = 9.866 m2

  10. Surface Area of Pyramids 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.

  11. Surface Area of Pyramids To find the surface area, add the areas together. Bottom A = s2 A = (4)(4) A = 16 cm2 sides A = bh  2 A = (4)(3)  2 A = 6 cm2 Total Surface Area = Bottom + 4(sides) = 16 + 4(6) = 40 cm2

  12. YOU TRY! To find the surface area, add the areas together.

  13. SOLUTION To find the surface area, add the areas together. Bottom A = s2 A = (5)(5) A = 25 cm2 sides A = bh  2 A = (5)(6)  2 A = 15 cm2 Total Surface Area = Bottom + 4(sides) = 25 + 4(15) = 85 cm2

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

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