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geometry

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The surface area to volume ratio of a cube is 2 to 5. Find the length of each side.

  • geometry - ,

    let each side be x

    6x^2 / x^3 = 2/5
    2x^3 = 30x^2
    2x^3 - 30x^2 = 0
    2x^2(x - 15) = 0
    x = 0, no cube
    or
    x = 15

    check:
    volume = 15^3 = 3375
    SA = 6x^2 = 1350
    1350/3375 = 2/5 , YEAHH

  • geometry - ,

    thank you

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