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003 savofconespryamidsplus

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  • 1. Find the lateral area and the surface area of each figure.Round to the nearest tenth, if necessary.1. a cube with edge length 10 cm2. a regular hexagonal prism with height 15 in. and baseedge length 8 in.3. a right cylinder with base area 144 cm2 and a heightthat is the radiusL = 400 cm2 ; S = 600 cm2L = 720 in2; S  1052.6 in2L  301.6 cm2; S = 1206.4 cm2GT Geometry 5/1/13 Drill 4.10• Put hw and a pen on the corner of your desk.
  • 2. 4. A cube has edge length 12 cm. If the edgelength of the cube is doubled, what happens to the surfacearea?5. Find the surface area of the composite figure.The surface area is multiplied by 4.S = 3752 m2
  • 3. OBJECTIVETo define and find thelateral area, surfacearea, and volume ofa regular pyramidand a cone
  • 4. vocabulary• base - polygon• lateral faces - triangles• vertex - point where lateralfaces meet• altitude - segment from thevertex perpendicular to theplane of the base
  • 5. vocabulary• pyramid - a polyhedron whichconsists of one base and lateralfaces which are triangles• regular pyramid - base is aregular polygon
  • 6. vocabulary• right pyramid - the altitudeintersects the base at its center• oblique pyramid - the altitudeintersects the base at a pointother then the center
  • 7. vocabulary• slant height of a pyramid - thelength of an altitude of a lateralface.
  • 8. Naming a Pyramid•Pyramids are namedaccording to the shape oftheir bases
  • 9. BASELateral Edge
  • 10. Slant Height
  • 11. Height of theobject
  • 12. formulaThe lateral area LA of a rightregular pyramid with slantheight l and perimeter of a basep isL = 1/2 l p orLA = 1/2 l p
  • 13. formulaThe surface area SA of a rightregular pyramid isSA= LA + B orS = LA + B
  • 14. formulaThe volume V of a right regularpyramid isV=B = area of the baseH = height or altitude of the objectBH31
  • 15. How do you find the lateralarea of a cone?LA = plperimeter • slantheight12
  • 16. How do you find the lateralarea of a cone?How do wefind theperimeter of acircle?
  • 17. How do you find the lateralarea of a cone?How do we find theperimeter of a circle?2πr or dπ
  • 18. How do you find the lateralarea of a cone?LA = 2πrlperimeter • height12
  • 19. How do you find the lateralarea of a cone?LA = πrlperimeter •height
  • 20. Finding the Surface Area ofa coneSA= LA + B
  • 21. Finding the Volume of acone and pyramidV = ?BH
  • 22. Finding the Volume of acone and pyramidV = ?BH
  • 23. Finding the Volume of acone and pyramidV = ?BH
  • 24. Finding the Volume of acone and pyramidV = ?BH
  • 25. Finding the Volume of acone and pyramidV = ?BH
  • 26. Finding the Volume of acone and pyramidV = ?BH
  • 27. Finding the Volume of acone and pyramidV = ?BH
  • 28. Finding the Volume of acone and pyramidV = ?BH
  • 29. Finding the Volume of acone and pyramidV = ?BH
  • 30. Finding the Volume of acone and pyramidV = ?BH
  • 31. Finding the Volume of acone and pyramidV = ?BH
  • 32. Classwork( exact)Find LA,SA, Vconeradius = 5 cmheight= 12 cm
  • 33. Classwork (exact)Find LA, SA & Vconeradius = 3 cmslant height = 6 cm
  • 34. CLASSWORK•find lateral and surfaceareas• right regular hexagonalpyramid•base edge = 4cm•slant height = 5cm
  • 35. CLASSWORK•find lateral and surfaceareas•right regular triangularpyramid•base edge = 6cm•height = 37 cm
  • 36. CLASSWORK•Find LA & SA•rectangular pyramid•base edges =12cm, 9cm•height = 12 cm
  • 37. Classwork/Homework•P 694 #13-22•P709 #2-12