A cubical microparticle of zinc oxide (ZnO\text{ZnO}ZnO) has six square faces. The dimensions of this microparticle are 1.2 μm×1.2 μm×1.2 μm1.2\ \mu\text{m} \times 1.2\ \mu\text{m} \times 1.2\ \mu\text{m}1.2 μm×1.2 μm×1.2 μm.
This microparticle is processed to break it down into 800080008000 identical smaller nanocubes, each with dimensions 60 nm×60 nm×60 nm60\text{ nm} \times 60\text{ nm} \times 60\text{ nm}60 nm×60 nm×60 nm.
Calculate:
The total surface area of the original microparticle in μm2\mu\text{m}^2μm2.
The total combined surface area of the 800080008000 nanocubes in μm2\mu\text{m}^2μm2.
The ratio of the combined surface area of the 800080008000 nanocubes to the surface area of the original microparticle.