Question

If 1 gallon of paint can cover a square room and ceiling with walls that are 9.43 feet high and 9.43 long, what is the thickness of the paint (in micrometers)?

Answer #1

thickness of the paint = **76.4**
micrometres (exact value is
76.36746 micrometers)

Explanation

1 gallon = 0.00378541 m^{3}

volume of paint = 0.00378541 m^{3}

length of square room = 9.43 ft

length of square room = 9.43 ft * (0.3048 m / 1 ft)

length of square room = 2.874264 m

surface area of square room = 6 * length^{2}

surface area of square room = 6 * (2.874264 m)^{2}

surface area of square room = 49.56836 m^{2}

thickness = volume / surface area

thickness = 0.00378541 m^{3} / 49.56836
m^{2}

thickness = 7.6367 x 10^{-5} m

thickness = 7.6367 x 10^{-5} m * (10^{6} um / 1
m)

thickness = 76.4 micrometres

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