algebra 1

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The dimension of a rectangular prism are all positive integers. The volume of the prism is 2002 cubic cm. Find the minimum possible sum in cm of the length width and height.

  • algebra 1 -

    Factorize 2002 to get
    2002=2*7*11*13

    The three dimensions of the prism must be either one of the above factors, or a product of two of the factors, such as 14*11*13, or
    22*7*13, or
    2*77*13, etc

    Can you find the dimensions which give the minimum sum?

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