A cubic zinc oxide (ZnO\text{ZnO}ZnO) nanoparticle, used in sunscreens to absorb UV radiation, has a side length of 8 nm8\text{ nm}8 nm, as shown in the diagram below.
Calculate:
a.[2]
The total surface area of the cubic nanoparticle.
b.[1]
The volume of the cubic nanoparticle.
c.[2]
The simplest whole-number ratio of surface area:volume\text{surface area} : \text{volume}surface area:volume for this cubic nanoparticle.
Use the equation:
surface area of cubic nanoparticle=6×surface area of one face \text{surface area of cubic nanoparticle} = 6 \times \text{surface area of one face} surface area of cubic nanoparticle=6×surface area of one face