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Volume

Volume. click here to P L A Y. JEOPARDY. Prisms. Cones. Pyramids. Spheres. Cylinders. $100. $100. $100. $100. $100. $200. $200. $200. $200. $200. $300. $300. $300. $300. $300. $400. $400. $400. $400. $400. $500. $500. $500. $500. $500. Replay. Go to Final Jeopardy.

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Volume

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  1. Volume click heretoPLAY JEOPARDY

  2. Prisms Cones Pyramids Spheres Cylinders $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Replay Go to Final Jeopardy

  3. Find the volume of a rectangular prism with length 1 cm, width 7 cm, and height 10 cm. Question Next

  4. V = l*w*h V = 1*7*10 V = 7*10 V = 70 cm3 Answer $100

  5. Find the volume of a triangular prism with base of 6 feet, triangle height of 10 feet, and prism height of 20 feet. Question Next

  6. V = (1/2*b*h)*h V = (1/2*6*10)*20 V = (30)*20 V = 600 ft3 Answer $200

  7. What is the volume of a rectangular prism with length of 5 mm, width of 4 mm, and height of 3 mm? Question Next

  8. V = 5*4*3 V = 20*3 V = 60 mm3 Answer $300

  9. The volume of triangular prism with base of 4 feet is 132 cubic feet, what is the base of another triangular prism with volume of 66 cubic feet? Question Next

  10. _4_ = _x_ 132 66 132x = 264 132 132 X = 2 ft Answer $400

  11. A rectangular prism has a volume of 15 cubic centimeters. What is the new volume, if the length and width are doubled? Question Next

  12. 15 = l*w*h V = 2*l*2*w*h 4*V = 4*l*w*h 4*15 = 4*l*w*h V = 60 cm3 Answer $500

  13. Question Find the exact volume of a cone with radius 5 inches and height 10 inches. Next

  14. Answer V = 1/3*π*r2*h V = 1/3*π*52*10 V = 1/3*π*25*10 V = 1/3*π*250 V = 83.3 π in3 $100

  15. Question What is the volume of a cone that has a radius of 3 yards and a height of 4 yards? (answer in exact π) Next

  16. Answer V = 1/3*π*r2*h V = 1/3*π*32*4 V = 1/3*π*9*4 V = 1/3*π*36 V = 12 π yd3 $200

  17. Question Find the exact volume of a cone with diameter 10 cm and height 5 cm. Next

  18. Answer d = 2r so if d = 10 then r = 5 V = 1/3*π*r2*h V = 1/3*π*52*5 V = 1/3*π*25*5 V = 1/3*π*125 V = 41.6 π cm3 $300

  19. Question The volume of a cone with a radius of 4 meters is 64π cubic meters, what is the volume of a cone with a radius of 6 meters? (answer in exact π) Next

  20. Answer _4_ = _6_ 64π x 4x = 384π 4 4 X = 96 π m3 $400

  21. Question The volume of a cone is 8π cubed units. If the radius is doubled, what is the new volume? (answer in exact π) Next

  22. Answer 8π = 1/3*π*r2*h V = 1/3*π*(2*r)2*h 4*V = 1/3*π*4*r2*h 4*8π = 1/3*π*4*r2*h V = 32π units3 $500

  23. Question Find the volume of a rectangular pyramid with length of 8 units, width of 4 units, and height of 3 units. Next

  24. Answer V = 1/3*l*w*h V = 1/3*8*4*3 V = 1/3*8*12 V = 1/3*96 V = 32 units3 $100

  25. Question Find the volume of a triangular pyramid with base of 2 inches, triangle height of 8 inches, and pyramid height of 6 inches. Next

  26. Answer V = 1/3*(1/2*b*h)*h V = 1/3*(1/2*2*8)*6 V = 1/3*(8)*6 V = 1/3*48 V = 16 in3 $200

  27. Question What is the volume of a rectangular pyramid with length of 9 feet, width of 10 feet, and height of 7 feet. Next

  28. Answer V = 1/3*l*w*h V = 1/3*9*10*7 V = 1/3*9*70 V = 1/3*630 V = 210 ft3 $300

  29. Question What is the volume of a triangular pyramid with height of 11 cm, if a triangular pyramid with a height of 10 cm has a volume of 440 cm3. Next

  30. Answer _11_ = _10_ x 440 10x = 4840 10 10 X = 484 cm3 $400

  31. Question The volume of a rectangular pyramid is 77 cm3. If the length is tripled, what will the new volume be? Next

  32. Answer 77 = 1/3*l*w*h V = 1/3*3*l*w*h 3*V = 1/3*3*l*w*h 3*77 = 1/3*3*l*w*h V = 231 cm3 $500

  33. Question Find the exact volume of a sphere with radius 6 inches. Next

  34. Answer V = 4/3*π*r3 V = 4/3*π*63 V = 4/3*π*216 V = 864/3 π V = 288 π in3 $100

  35. Question Find the exact volume of a sphere with diameter of 4 yards. Next

  36. Answer d = 2r so if d = 4 then r = 2 V = 4/3*π*r3 V = 4/3*π*23 V = 4/3*π*8 V = 32/3 π V = 10.6 π yd3 $200

  37. Question What is the volume of a sphere that has a radius of 3 mm? (answer in exact π) Next

  38. Answer V = 4/3*π*r3 V = 4/3*π*33 V = 4/3*π*27 V = 108/3 π V = 36 π mm3 $300

  39. Question What is the volume of a sphere that has a diameter of 10 cm, if the volume of a sphere with a diameter of 14 cm is 434π cm3? (answer in exact π) Next

  40. Answer _10_ = _14_ x 434π 14x = 4340π 14 14 X = 310 π cm3 $400

  41. Question The volume of a sphere is 2π cubed units. If the radius is tripled, what is the new volume? (answer in exact π) Next

  42. Answer 2π = 4/3*π*r3 V = 4/3*π*(3*r)3 9*V = 4/3*π*9*r3 9*2π = 4/3*π*9*r3 V = 18π units3 $500

  43. Question Find the exact volume of a cylinder with radius 10 units and height 5 units. Next

  44. Answer V = π*r2*h V = π*102*5 V = π*100*5 V = π*500 V = 500 π units3 $100

  45. Question What is the volume of a cylinder that has a radius of 7 feet and a height of 12 feet? (answer in exact π) Next

  46. Answer V = π*r2*h V = π*72*12 V = π*49*12 V = π*588 V = 588 π ft3 $200

  47. Question Find the exact volume of a cylinder with diameter 12 mm and height 12 mm. Next

  48. Answer d = 2r so if d = 12 then r = 6 V = π*r2*h V = π*62*12 V = π*36*12 V = π*432 V = 432 π mm3 $300

  49. Question What is the volume of a cylinder that has a diameter of 6 units, if the volume of a cylinder with a diameter of 10 units is 525π units3 ? (answer in exact π) Next

  50. Answer _10_ = _6_ 525π x 10x = 3150π 10 10 X = 315 π units3 $400

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