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Calculate Surface Area of Triangular Prisms and Cylinders with Step-by-Step Work

Learn how to determine the surface area of triangular prisms and cylinders in this comprehensive lesson. We will go through examples and use nets to understand three-dimensional figures better. The surface area formulas for triangular prisms and cylinders will be explored along with unit conversions. This lesson includes practical exercises to reinforce your understanding, including calculations for various dimensions. Join us in mastering the concepts of surface area measurement!

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Calculate Surface Area of Triangular Prisms and Cylinders with Step-by-Step Work

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  1. Find the surface area of the following figures. Show work and include units! 1. 2. 3. 4. 3.84 mm 19 ft Warm Up 9 ft 12.25 in 6.57 ft 4.19 in 5.28 ft

  2. Lesson 5-2:Surface Area of Triangular Prisms and Cylinders I can… Vocabulary • find the surface area of a triangular prism. • find the surface area of a cylinder. • Cylinder

  3. The total area of the surface of a three dimensional object *We will use nets to help us determine the surface area Surface Area (REVIEW)

  4. A two-dimensional figure that can be folded on its segments or curved on its boundaries to form a three-dimensional figure. Net (REVIEW)

  5. A prism that has two bases, one directly above the other, and has its lateral faces as rectangles. Right Prism (REVIEW)

  6. A prism whose bases are triangles. Triangular Prism

  7. http://www.youtube.com/watch?v=yHtdtsOWnDI Video Over Surface Area of a Triangular Prism

  8. First, let’s draw a net of a triangular prism. 7 cm Triangle 1 = (½*b*h) Triangle 2 = (½*b*h) = (½*8*10) = (½*8*10) = (½*80) = (½*80) Surface Area of a Triangular Prism = 40 sq. cm = 40 sq. cm

  9. 7 cm Rectangle 1= (l * w) Rectangle 3 = ( l * w) =(7 * 60) = ( 8 * 60) = 420 sq. cm = 480 sq. cm Surface Area of a Triangular Prism Rectangle 2= (l * w) =(7 * 60) = 420 sq. cm

  10. 7 cm Total Surface Area = Area of Triangles + Area of Rectangles = 40 + 40 + 420 + 420 + 480 Surface Area of a Triangular Prism = 1400 sq. cm

  11. What is the surface area of the triangular prism? Triangle 1 SA= 12 sq. meters 9 m Triangle 2 SA= 12 sq. meters Rectangle 1 SA= 63 sq. meters Rectangle 2 SA= 56 sq. meters Rectangle 3 SA= 21 sq. meters Total = 164 sq. meters Examples

  12. A three dimensional shape with two identical flat ends that are circular or elliptical connected by a curved surface. Cylinder

  13. The net of a cylinder: Surface Area of a Cylinder

  14. http://www.youtube.com/watch?v=GpHhvuRbB-8 Video Over Surface Area of a Cylinder

  15. Surface Area of A Cylinder Ex

  16. Example

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