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Surface Area of Prisms and Cylinders: Formulas, Examples, and Calculations

Learn about prism and cylinder shapes, how to calculate their surface areas using the appropriate formulas, and see step-by-step examples. Enhance your geometry skills with this comprehensive guide.

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Surface Area of Prisms and Cylinders: Formulas, Examples, and Calculations

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  1. 12.2 – Surface Area of Prisms And Cylinders

  2. Prism: Polyhedron with two parallel, congruent bases Named after its base

  3. Sum of the area of each face of the solid Surface area:

  4. Area of each lateral face Lateral area:

  5. Right Prism: Each lateral edge is perpendicular to both bases

  6. Each lateral edge is NOT perpendicular to both bases Oblique Prism:

  7. Prism with circular bases Cylinder:

  8. Two-dimensional representation of a solid Net:

  9. Surface Area of a Right Prism: SA = 2B + PH B = area of one base H P = Perimeter of one base H = Height of the prism

  10. Surface Area of a Right Cylinder: SA = 2B + PH H

  11. 1. Name the solid that can be formed by the net. Cylinder

  12. 1. Name the solid that can be formed by the net. Triangular prism

  13. 1. Name the solid that can be formed by the net. rectangular prism

  14. 2. Find the surface area of the right solid. SA = 2B + PH SA = 2(30) + (22)(7) SA = 60 + 154 SA = 214 m2 P = 5 + 6 + 5 + 6 B = bh P = 22 B = (5)(6) B = 30

  15. 2. Find the surface area of the right solid. SA = 2B + PH SA = 2(30) + (30)(10) SA = 60 + 300 SA = 360 cm2 c2 = a2 + b2 c2 = (5)2 + (12)2 P = 5 + 12 + 13 c2 = 25 + 144 P = 30 c2 = 169 c = 13

  16. 2. Find the surface area of the right solid. cm2

  17. 2. Find the surface area of the right solid. 12ft 8ft ft2

  18. 2. Find the surface area of the right solid. SA = 2B + PH 9ft SA = 2(24) + (24)(9) SA = 48 + 216 8ft SA = 264 ft2 6ft c2 = (6)2 + (8)2 P = 6 + 8 + 10 c2 = 36 + 64 P = 24 c2 = 100 c = 10

  19. 2. Find the surface area of the right solid. A cylindrical bass drum has a radius of 5 inches and a depth of 12 inches. Find the surface area. 5in 12in in2

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