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Math Help - Percentage increase in a volume

  1. #1
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    Percentage increase in a volume

    Trish's rectangular suitcase is 12 inches wide, 20 inches long, and 6 inches log. She is considering buying a new suitcase with dimensions that are doubling her original suitcase. By how much will the volume of her suitcase increase if she buys the new one?

    I got 700%
    Last edited by mr fantastic; February 20th 2009 at 01:52 AM. Reason: A new question moved (and edited) from an old thread
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  2. #2
    Senior Member mollymcf2009's Avatar
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    Quote Originally Posted by NYCKid09 View Post
    Trish's rectangular suitcase is 12 inches wide, 20 inches long, and 6 inches log. She is considering buying a new suitcase with dimensions that are doubling her original suitcase. By how much will the volume of her suitcase increase if she buys the new one?

    I got 700%
    Volume of suitcase 1 = 12 x 20 x 6 = 1440 in^3

    Volume of suitcase 2 = 24 x 40 x 12 = 11520 in^3

    11520 - 1440 = 10080 in^3 increase in volume
    Last edited by mr fantastic; February 20th 2009 at 01:52 AM.
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  3. #3
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    I know, but whats the percentage increase

    I got 700
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  4. #4
    Senior Member mollymcf2009's Avatar
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    Quote Originally Posted by NYCKid09 View Post
    I know, but whats the percentage increase

    I got 700
    How did you get 700%?
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  5. #5
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    Quote Originally Posted by mollymcf2009 View Post
    How did you get 700%?
    700% is correct.

    In general, since volume depends on length^3 doubling every length will multiply the volume by 2^3= 8. That means the amount of increase is 7 times the original volume or 700%.
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