$A$ metallic element crystallises in a simple cubic lattice. If the edge length of the unit cell is $3 \mathring{A}$ and the density is $8 \ g/cm^{3}$,what is the number of unit cells in $100 \ g$ of the metal? (Molar mass of metal $= 108 \ g/mol$)
- A$1.33 \times 10^{20}$
- B$4.63 \times 10^{23}$
- C$2.7 \times 10^{22}$
- D$5 \times 10^{23}$
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