$A$ cube of edge length $1 \ cm$ is divided into smaller cubes of uniform size of length $1 \ nm$. Assuming that no voids are present, the ratio of total surface area of all the cubes of $1 \ nm$ edge length to the surface area of the initial cube is

  • A
    $10^9$
  • B
    $10^7$
  • C
    $10^6$
  • D
    $10^5$

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