A cuboid is $9$ cm long, $7$ cm wide and $5$ cm high. The number of cubes of edge $1$ cm that can be cut…

A cuboid is $9$ cm long, $7$ cm wide and $5$ cm high. The number of cubes of edge $1$ cm that can be cut from it is:
  1. $315$
  2. $210$
  3. $180$
  4. $945$

Solution

Number of unit cubes $= \dfrac{9 \times 7 \times 5}{1^{3}} = 315$.

Asked in: IMO

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