An element crystallises in $bcc$ type having atomic radius $1.33 \times 10^{-8} \ cm$,the edge length of the unit cell will be:
- A$2.17 \times 10^{-8} \ cm$
- B$2.66 \times 10^{-8} \ cm$
- C$4.08 \times 10^{-8} \ cm$
- D$3.07 \times 10^{-8} \ cm$
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Calculate the number of unit cells in $1 \text{ cm}^3$ of metal if it forms a simple cubic structure with a unit cell edge length of $500 \text{ pm}$.
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