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Thread: Word problem using volume/area

  1. #1
    New Member
    Join Date
    Apr 2012

    Word problem using volume/area

    A delivery company has two trucks, 1 large, 1 small. The large truck is twice as high, twice as long and twice as wide as the small truck. If it costs $100.00 to fill the small truck completely full, how much would it cost to fill the large truck full?
    I think the answer should be twice as much 2x100=200. but I feel that the area or volume of the trucks may be the answer. So maybe 2x2x2. Area = LxWxH so 8 times 100 or 800?
    I'm not certain.

    Sorry, but there is no more information other than the trucks are completely full. This was given to our 6th grade math class.
    Last edited by Mgee; 04-25-2012 at 12:06 AM. Reason: Left out information?

  2. #2
    Elite Member
    Join Date
    Apr 2005
    That's a horrible question. There is not enough information.

    Maybe the cost is the same, economy of scale and all that.

  3. #3
    Elite Member
    Join Date
    Feb 2004
    Ottawa, Ontario
    Look at a 2by3by4 box and a 4by6by8 box.
    I'm just an imagination of your figment !

  4. #4
    Elite Member mmm4444bot's Avatar
    Join Date
    Oct 2005
    Quote Originally Posted by Mgee View Post
    So maybe 2x2x2. Area = LxWxH so 8 times 100 or 800?
    Yes, I think that $800 is the answer they expect. Doubling all three dimensions increases the volume by a factor of eight.

    I agree that the exercise could be better worded. It's the actual stuff which fills the small truck that costs $100; the overhead (eg: labor, electricity, maintenance, etc.) is not included in the cost "to fill the small truck".

    PS: The word in red above should be "volume".

    Cheers ~ Mark


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