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    Working with maximum resulting error in calculation of area

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    The dimensions of a closed rectangular box are found by measurement to be 10 cm by 15 cm by 20 cm, but there is a possible error of 0.1 cm in each. Use differentials to estimate the maximum resulting error in computing the total surface area of the box.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:19 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/working-maximum-resulting-error-calculation-area-13779

    Solution Preview

    Denote the three dimensions of the box by x, y, and z. Then the surface area is given by
    S = ...

    Solution Summary

    Clear explanations and all mathematical steps are provided. It provides a discussion of working with maximum resulting error in calculation area.

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