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5 November, 02:06

The aluminum in a package containing 75 ft2 of kitchen foil weighs approximately 12 ounces. Aluminum has a density of 2.70 g/cm3. What is the approximate thickness of the aluminum foil in millimeters? (1 ounce = 28.4g)

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  1. 5 November, 03:35
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    18130 mm

    Explanation:

    Now we have a lot of unit conversions to do in order to correctly answer this question. We shall do these conversions gradually.

    First we convert the weight in ounce to grams.

    If 1 ounce = 28.4g

    12 ounces = 12*28.4 = 340.8 g

    Next we convert the area of aluminum from ft2 to m2

    1ft2 = 0.0929 m2

    75 ft2 = 75 * 0.0929 = 6.9675m2

    Now density of aluminum = 2.70 gcm-3

    Density = mass/volume

    But volume = area * thickness

    Density = mass / area * thickness

    Density * area * thickness = mass

    Thickness = mass / density * area

    Thickness = 340.8g / 2.70gcm-3 * 6.9675m2

    Thickness = 340.8/18.8

    Thickness = 18.13 m

    Since 1000 milimeters make 1 metre

    Thickness = 18130 mm
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