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Chapter 12

Chapter 12. Lateral and Surface Areas. 12.2 Lateral and Surface Areas of Prisms. L = Ph. h. SA = 2lw + 2lh + 2wh. P = Perimeter of the base (bottom). B = base area. *the height always connects the bases. SA = L + 2B. h. *base (shape not a rectangle).

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Chapter 12

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  1. Chapter 12 Lateral and Surface Areas

  2. 12.2 Lateral and Surface Areas of Prisms L = Ph h SA = 2lw + 2lh + 2wh P = Perimeter of the base (bottom) B = base area *the height always connects the bases SA = L + 2B h *base (shape not a rectangle)

  3. 12.2 Lateral and Surface Areas of Prisms Find the lateral and surface areas of the rectangular prism.

  4. 12.2 Lateral and Surface Areas of Prisms Find the surface area of the triangular prism.

  5. 12.2 Lateral and Surface Areas of Prisms Find the lateral area of the regular hexagonal prism.

  6. 12.2 Lateral and Surface Areas of Prisms Find the surface area of the prism.

  7. 12.2 Lateral and Surface Areas of Prisms Find the lateral area of the prism.

  8. 12.2 Lateral and Surface Areas of Prisms The lateral area of a prism is 476 square meters. The area of one of its bases is 25 square meters. What is the surface area of the prism?

  9. 12.3 Lateral and Surface Area of Cylinders L = 2πrh r h S = 2πrh + 2πr2

  10. 12.3 Lateral and Surface Area of Cylinders Find the lateral area and the surface area of the cylinder. Round to the nearest tenth.

  11. 12.3 Lateral and Surface Area of Cylinders Find the lateral area and the surface area of the cylinder. Round to the nearest tenth.

  12. 12.3 Lateral and Surface Area of Cylinders Find the diameter of a base of a cylinder if the surface area is 480 square inches and the height is 8 inches.

  13. 12.4 Lateral and Surface Areas of Pyramids L = Pl l h S = Pl + B l = slant height l Lateral edge h l ½ b ½ b

  14. 12.4 Lateral and Surface Areas of Pyramids Find the lateral area and surface area of the square pyramid.

  15. 12.4 Lateral and Surface Areas of Pyramids Find the surface area of the square pyramid to the nearest tenth.

  16. 12.4 Lateral and Surface Areas of Pyramids Find the lateral and surface areas of the regular pyramid. Round to the nearest tenth.

  17. 12.4 Lateral and Surface Areas of Pyramids Find the surface area of the regular pyramid.

  18. 12.4 Lateral and Surface Areas of Pyramids Find the surface area of a square pyramid with base length of 10 feet and slant height of 8 feet.

  19. 12.5 Lateral and Surface Areas of Cones L = πrl l h S = πrl + πr2 r

  20. A sugar cone has an altitude of 8 inches and a diameter of inches. Find the lateral area of the sugar cone. 12.5 Lateral and Surface Areas of Cones

  21. 12.5 Lateral and Surface Areas of Cones Find the surface area of the cone. Round to the nearest tenth.

  22. 12.5 Lateral and Surface Areas of Cones Find the surface area of the cone.

  23. 12.5 Lateral and Surface Areas of Cones Find the lateral area of a cone with a diameter length of 10 centimeters and a slant height of 13 centimeters. Round your answer to the nearest tenth.

  24. 12.6 Surface Area of Spheres r S = 4πr2 * Lateral and Surface areas are the same for a sphere

  25. 12.6 Surface Area of Spheres Find the surface area of the sphere. Round to the nearest tenth.

  26. 12.6 Surface Area of Spheres Find the surface area of the sphere. Round to the nearest tenth.

  27. 12.6 Surface Area of Spheres Find the surface area of a sphere if the circumference of the great circle is 10 feet.

  28. 12.6 Surface Area of Spheres Find the surface area of a sphere if the area of the great circle is approximately 220 square meters.

  29. 12.6 Surface Area of Hemispheres S = ½ 4πr2 + πr2 r or S = 3πr2

  30. 12.6 Surface Area of Spheres Find the surface area of the hemisphere.

  31. 12.6 Surface Area of Spheres Find the surface area of the hemisphere.

  32. 12.6 Surface Area of Spheres A hemisphere has a giant circle with circumference approximately 175.84 in2. What is the surface area of the hemisphere?

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