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An edge of a cube is increased by 10%. Find the percent by which the surface area o fa cube has increased?

  • math -

    let each side be x units
    surface area = 6x^2

    new edge = 1.1x
    new surface area = 6(1.1x)^2 = 7.26x^2

    increase = 1.26x^2

    percentage increase = 1.26x^2/(6x^2) = 1.26/6 = .21
    = 21%

    we could have just looked at one of the 6 faces for the same result.

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