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Surface Area of Pyramids and Cones

Learn how to calculate the surface areas of pyramids and cones with step-by-step examples and formulas. Practice assignments included.

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Surface Area of Pyramids and Cones

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  1. Transparency 8 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 8-2b Objective Find the surface areas of pyramids and cones

  4. Example 8-2b Vocabulary Lateral face A triangular side of a pyramid

  5. Example 8-2b Vocabulary Slant height The altitude or height of each lateral face of a pyramid

  6. Example 8-2b Vocabulary Lateral area The sum of the areas of the lateral faces of a pyramid

  7. Lesson 8 Contents Example 1Surface Area of a Pyramid Example 2Surface Area of a Cone

  8. Example 8-1a Find the surface area of the triangular pyramid. Area of base = 10.8 in2 First find the area of the base Base is a triangle Normally, would find area of triangle but the area is provided

  9. Example 8-1a Find the surface area of the triangular pyramid. Area of base = 10.8 in2 Second find the lateral area  5 in  8 in Write formula for area of triangle Replace b with 5 in A = 20 in2 Replace h with 8 in Multiply numbers Multiply units

  10. Example 8-1a Find the surface area of the triangular pyramid. Area of base = 10.8 in2 Area of lateral side = 20 in2 Area of lateral side = 20 in2 Area of lateral side = 20 in2 There are 3 lateral sides and they all have the same dimensions Add area of sides and base Answer: Surface Area = 70.8 in2

  11. Example 8-1c Find the surface area of the square pyramid. Answer: Surface Area = 156 cm2

  12. Example 8-2a Find the surface area of the cone. Round to the nearest hundredth. S = (1.5 m) (4.5 m) + (1.5 m)2 Write formula for surface area of a cone Replace r with 1.5 m Replace l with 4.5 m Replace r with 1.5 m

  13. Example 8-2a Find the surface area of the cone. Round to the nearest hundredth. S = (1.5 m)(4.5 m) + (1.5 m)2 S = (1.5 m)(4.5 m) + (2.25 m2) Follow order of operations P E MD AS S = 21.21 m2 + 7.07 m2 Evaluate (1.5)2 Answer: S = 28.28 m2 Multiply from left to right Add

  14. Example 8-2b * Find the surface area of the cone. Round to the nearest hundredth. Answer: SA = 108.33 cm2

  15. End of Lesson 8 Assignment

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