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 m³

volume of paint = 0.00378541 m³

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 * length²

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

surface area of square room = 49.56836 m²

thickness = volume / surface area

thickness = 0.00378541 m³ / 49.56836 m²

thickness = 7.6367 x 10^-5 m

thickness = 7.6367 x 10^-5 m * (10⁶ um / 1 m)

thickness = 76.4 micrometres