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A cube of side 1 cm cut into cubes of side 1 nm yields how many cubes?

  • A.10\( ^{21} \)
  • B.10\( ^{7} \)
  • C.10\( ^{14} \)
  • D.10\( ^{9} \)

Answer: A

Correct answer: 10^21

A centimetre is \( 10^7 \) nanometres, so the cube divides into \( 10^7 \) along each edge and \[ (10^7)^3 = 10^{21} \] cubes in all. The total surface area rises from 6 cm² to 6000 m², roughly the area of a football pitch, from a single cubic centimetre of material.

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