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

1 galloon = 3785.41 cm^{3}

Now , room is a square room i.e. area of wach wall is same.

Now, 1 ft = 30.48 cm^{3}

length of wall = 9.43 ft * 30.48 cm *1/1ft = 287.43 cm

height of wall =9.43 ft* 30.48 cm *1/1ft = 287.43 cm

Now, All square room and ceiling will walls are painted except the floor. So, 5 sides are painted.

Now, 1 ft = 30.48 cm^{3}

Thus, area of 5 walls that are painted = 5 *length * height =
5*287.43 cm*287.43 cm = 413069.68 cm^{2}

Hence the thickness of paint = paint required/ area
= 3785.41 cm^{3} / 413069.68 cm^{2} =
0.0091641 cm

= **91.64
m**

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