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gabbyalicorn

  • one year ago

The prism has a volume of 60 in3. What would the volume of the prism be if each dimension were tripled?

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  1. gabbyalicorn
    • one year ago
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    https://www.dropbox.com/s/nvin40a8wutl2do/Screenshot%202015-06-15%2020.37.39.png?dl=0

  2. gabbyalicorn
    • one year ago
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    @jim_thompson5910

  3. Kash_TheSmartGuy
    • one year ago
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    60 x 3 x 3 x 3=1620in3

  4. anonymous
    • one year ago
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    @jim_thompson5910

  5. gabbyalicorn
    • one year ago
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    I thought 60 x 60 x 60 .3.

  6. jim_thompson5910
    • one year ago
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    Kash_TheSmartGuy has the right idea triple each dimension ----> the volume gets multiplied by 3^3 = 27

  7. gabbyalicorn
    • one year ago
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    K

  8. jim_thompson5910
    • one year ago
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    try it with a 2by3by4 prism then triple each dimension compare the two volumes |dw:1434426114693:dw|

  9. gabbyalicorn
    • one year ago
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    |dw:1434426207123:dw|

  10. Kash_TheSmartGuy
    • one year ago
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    So that would be 1620in3

  11. gabbyalicorn
    • one year ago
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    Hmm, I'm not getting 1620

  12. jim_thompson5910
    • one year ago
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    those were just random examples

  13. gabbyalicorn
    • one year ago
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    Oh

  14. jim_thompson5910
    • one year ago
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    notice how 648/24 = 27

  15. jim_thompson5910
    • one year ago
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    and how 3^3 = 3*3*3 = 27

  16. jim_thompson5910
    • one year ago
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    |dw:1434426374216:dw|

  17. Kash_TheSmartGuy
    • one year ago
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    Yup^^

  18. gabbyalicorn
    • one year ago
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    Oh. Kk

  19. gabbyalicorn
    • one year ago
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    k so 648 in^3

  20. gabbyalicorn
    • one year ago
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    ^ answer?

  21. jim_thompson5910
    • one year ago
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    648 was from the example I randomly made up

  22. jim_thompson5910
    • one year ago
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    to show the connection between the two prisms

  23. Kash_TheSmartGuy
    • one year ago
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    no, that was just an example

  24. gabbyalicorn
    • one year ago
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    oh, o3o

  25. gabbyalicorn
    • one year ago
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    so 60^3 = 216,000

  26. jim_thompson5910
    • one year ago
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    the smaller volume is 60 in^3

  27. jim_thompson5910
    • one year ago
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    larger volume = 27*(smaller volume) because each side is tripled

  28. gabbyalicorn
    • one year ago
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    so 60 x 3 x 27 = 4,860

  29. jim_thompson5910
    • one year ago
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    if you quadrupled each side, then larger volume = 64*(smaller volume) the 64 comes from the fact that 4^3 = 64 ---------------------------------- if you multiplied each side by 5, then larger volume = 125*(smaller volume) the 125 comes from the fact that 5^3 = 125 ---------------------------------- if you multiplied each side by 6, then larger volume = 216*(smaller volume) the 216 comes from the fact that 6^3 = 216 ---------------------------------- etc etc

  30. jim_thompson5910
    • one year ago
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    `so 60 x 3 x 27 = 4,860` not quite

  31. jim_thompson5910
    • one year ago
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    smaller volume = 60 in^3 larger volume = 27*(smaller volume)

  32. gabbyalicorn
    • one year ago
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    60 in^3 = 60 x 60 x 60 just double checking

  33. Kash_TheSmartGuy
    • one year ago
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    yup

  34. gabbyalicorn
    • one year ago
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    so then 60^3 x 27 which is 5,832,00

  35. jim_thompson5910
    • one year ago
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    `60 in^3 = 60 x 60 x 60 just double checking` that's false

  36. jim_thompson5910
    • one year ago
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    use a calculator to see what 60*60*60 is

  37. gabbyalicorn
    • one year ago
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    i got 216000

  38. jim_thompson5910
    • one year ago
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    |dw:1434427062119:dw|

  39. jim_thompson5910
    • one year ago
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    so because you got 216000, you can see that 60 in^3 is not the same as 60*60*60

  40. gabbyalicorn
    • one year ago
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    i was just about to say that XD

  41. gabbyalicorn
    • one year ago
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    but then this whole time it wasn't 60^3 it was 60 x 27

  42. jim_thompson5910
    • one year ago
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    yeah because 60 is already a volume (not a side length)

  43. gabbyalicorn
    • one year ago
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    -3- kay.

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