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How many smaller cubes can be obtained from the larger cube ?

  • A.25
  • B.35
  • C.75
  • D.125

Answer: D

The larger cube gives 125 smaller cubes.

With 5 small cubes along each edge, the total is:

\[ 5^{3} = 125 \]

Equivalently, the volume ratio is \(15^{3} / 3^{3} = 3375 / 27 = 125\). 25 counts only one layer (\(5^{2}\)), and 75 counts three layers.

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