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Geometric Solids

Geometric Solids. Use the following key for the formulas in this presentation. b = base d = diameter h = height r = radius l = length pi = 3.14 w = width l = slant height. The cylinder has two circular bases. Cylinder . r. h. Volume = (pi)r 2 h. Cylinder . r. h.

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Geometric Solids

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  1. Geometric Solids

  2. Use the following key for the formulas in this presentation. • b = base d = diameter • h = height r = radius • l = length pi = 3.14 • w = width l = slant height

  3. The cylinder has two circular bases. Cylinder r h

  4. Volume = (pi)r2h Cylinder r h

  5. SA = 2(pi)rh +2(pi)r2 Cylinder r h

  6. The cone consist of one circular base. Cone h l r

  7. Volume = 1/3(pi)r2h Cone h l r

  8. SA = (pi)rl + (pi)r2 Cone h l r

  9. V = (4/3)(pi)r3 Sphere r

  10. SA = 4(pi)r2 Sphere r

  11. The Rectangular Prism has two rectangular bases. Rectangular Prism w l h

  12. V = lwh Rectangular Prism w l h

  13. SA = 2(lw + hw + lh) Rectangular Prism w l h

  14. The Square Pryamid has one square base. Square Pyramid l h l w

  15. V = (1/3)lwh Square Pyramid l h l w

  16. SA = 2ll + l2 Square Pyramid l h l w

  17. Example Problems

  18. Find the volume of the cylinder. 6 in 10 in

  19. V = (pi) r2h Find the volume of the cylinder. 6 in 10 in

  20. V = (pi) r2h pi = 3.14 r = 6 h = 10 Find the volume of the cylinder. 6 in 10 in

  21. V = (pi) r2h pi = 3.14 r = 6 h = 10 V = (3.14)(62)(10) Find the volume of the cylinder. 6 in 10 in

  22. V = (pi) r2h pi = 3.14 r = 6 h = 10 V = (3.14)(62)(10) V = 1130.4 in3 Find the volume of the cylinder. 6 in 10 in

  23. Find the surface area of the sphere. 14 cm

  24. SA = 4(pi)r2 Find the surface area of the sphere. 14 cm

  25. SA = 4(pi)r2 pi = 3.14 diameter = 14 so… r = 7 Find the surface area of the sphere. 14 cm

  26. SA = 4(pi)r2 pi = 3.14 diameter = 14 so… r = 7 SA = 4(3.14)(72) Find the surface area of the sphere. 14 cm

  27. SA = 4(pi)r2 pi = 3.14 diameter = 14 so… r = 7 SA = 4(3.14)(72) SA = 615.4 cm2 Find the surface area of the sphere. 14 cm

  28. Find the volume of the prism. 8 in 1 ft 4 in

  29. V = lwh Find the volume of the prism. 8 in 1 ft 4 in

  30. V = lwh l = 8 in w = 4 in h = 1 ft = 12 in Find the volume of the prism. 8 in 1 ft 4 in

  31. V = lwh l = 8 in w = 4 in h = 1 ft = 12 in V = (8)(4)(12) Find the volume of the prism. 8 in 1 ft 4 in

  32. V = lwh l = 8 in w = 4 in h = 1 ft = 12 in V = (8)(4)(12) V = 384 in3 Find the volume of the prism. 8 in 1 ft 4 in

  33. How much snow did it take to make the snowman? r=8 in r= 1 ft r= 1.8 ft

  34. Volume of top: (4/3)(3.14)(.73) = 1.4 ft3 How much snow did it take to make the snowman? r=8 in r= 1 ft r= 1.8 ft

  35. Volume of middle: (4/3)(3.14)(13) = 4.2 ft3 How much snow did it take to make the snowman? r=8 in r= 1 ft r= 1.8 ft

  36. Volume of bottom: (4/3)(3.14)(1.83) = 24.4 ft3 How much snow did it take to make the snowman? r=8 in r= 1 ft r= 1.8 ft

  37. Total Volume: 1.4 + 4.2 + 24.4 = 30 ft3 How much snow did it take to make the snowman? r=8 in r= 1 ft r= 1.8 ft

  38. Created by: Lisa Alcott Lisa_Alcott@pinellas.k12kfl.us

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