Question

How large a surface area in units of square feet will 1 gallon of paint cover if we apply a code of paint that is 10 mm thick

Answer 1

Take into account that the volume of the code of paint is:

`V=A\cdot w`

where A is the surface area and w is the thick of the code of paint (w = 10 mm).

Consider that the previous volume V is determined by the amount of pain. In this case, there is 1 gallon of paint, which in units of ft^3 is:

`1\text{gal}=0.1605ft^3`

Now, consider also that 10mm in units of feet is:

`10mm\cdot(1m)/(1000mm)\cdot(3.28ft)/(1m)=0.0328ft`

In the equation V = A*w, solve for A, replace the values of V and w in feet, and simplify:

`A=(V)/(w)=(0.1605ft^3)/(0.0328ft)\approx4.89ft^2`

Hence, 1 gallon of paint will cover a surface area of approximately 4.89ft^2.