The diagram below represents a cubic nanoparticle of titanium dioxide.

The volume of this cubic nanoparticle is 27 nm327\text{ nm}^327 nm3.
Calculate:
The total surface area of the cubic nanoparticle, using the equation:
surface area=6×surface area of one face \text{surface area} = 6 \times \text{surface area of one face} surface area=6×surface area of one faceThe simplest whole-number ratio of surface area:volume\text{surface area} : \text{volume}surface area:volume for this cubic nanoparticle, written in the form X:1X : 1X:1.