Question

If a gallon of paint covers a 25.0 m2 wall, what is the thickness of the paint?

Answer 1

Answer:

The paint is 0.1512 millimeters thick.

Explanation:

If, instead of painting a wall, let's suppose we are pouring the paint into a box. We know the surface of the "floor" of this box would be  25.0  m^2  and have an unknown height of  x  meters

. So we need to solve the volume of this box as

V=area  ×  height

 =25 m^2 *  x m

Now, we were given a gallon of paint. Google told me that

1  gal

=3.78×10^−3   m^3

so,  

V=25 m^2 * x  m

=3.78×10^−3  m^3

, dividing both sides by 25 gives the "height" (or thickness),  x,

x=1.512×10^−4  m

=0.1512  mm