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Calculate Total Area of Pyramids and Cones: A Fun Geometry Challenge

Join us on an exciting mission to master the total area of pyramids and cones! We will explore the essential vocabulary, including total surface area, lateral area, and slant height. Learn the key formulas for calculating lateral area (L.A.) and surface area (S.A.) of these geometric shapes. Test your skills with problems, like finding the surface area of a cone with a radius of 10 and slant height of 13. With detailed examples and engaging activities, mastering these concepts will be both fun and rewarding!

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Calculate Total Area of Pyramids and Cones: A Fun Geometry Challenge

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  1. Mission 2 Mission for 2: To successfully find the total area of pyramids and cones. Vocabulary: total (surface) area, lateral area, slant height (s) Formulas: L.A. = T.A. = L.A. + Abase

  2. Formula for L.A. The formula for the lateral area (L.A.) of a regular pyramid or cone is the half product of its slant height s and the perimeter p of its base. L.A. =

  3. Formula for S.A. The formula for the surface area (S.A.) of a regular pyramid or cone is the sum of its lateral area and the area of its base (A). T.A.= L.A.+ Abase

  4. Let’s Try one Find the surface area of a cone with a radius of 10 and a slant height of 13. Click on “Freckle Boy” after you’ve finished the problem.

  5. Here is your Answer... T.A. = L.A. + Abase = +  r2 = +  r2 = + (10)2 = 408.41 + 314.16 = 722.57 units2

  6. Here is another one! Find the lateral area of a square pyramid with a slant height of 14 and a base edge of 25.

  7. The answer you have selected is incorrect. The correct answer was 700. Don’t worry. . . The little guy has the answer!

  8. Here is your Answer... LA = = = 700 units2

  9. Pretty slick rick. Keep on truckin’

  10. Now let’s pump up the VOLUME!

  11. Click on Box Muddler if you love Geometry!

  12. Exit! I hope you’ve enjoyed the show.

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