solid mensuration

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The volume of the box is 900 cubic inches. Find the dimension with a ratio of 1:3:5.

  • solid mensuration -

    1x * 3x * 5x = 900
    15 x^3 = 900
    x^3 = 60

    x = 3.915
    3x = 11.745
    5x = 19.574

  • solid mensuration -

    let the dimensions be x , 3x, and 5x
    x(3x)(5x) = 900
    15x^3 = 900
    x^3 = 60
    x = ∛60

    dimensions are ∛60 , 3∛60, and 5∛60
    or appr. 3.91 , 11.74, and 19.57

    check: 3.91*11.74*19.57 = 898.33 close for the approximation I used
    however, ∛60*3∛60*5∛60 = exactly 900

  • solid mensuration -

    wow!!!
    thnk you so much damon and reiny for helping

    now i knw how to use ratios. tnx a lot:)

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