A cube of edge $5$ cm is cut into $125$ unit cubes. The total surface area of all the small cubes together is:

A cube of edge $5$ cm is cut into $125$ unit cubes. The total surface area of all the small cubes together is:
  1. $150 \text{ cm}^{2}$
  2. $750 \text{ cm}^{2}$
  3. $300 \text{ cm}^{2}$
  4. $3750 \text{ cm}^{2}$

Solution

Each small cube has edge $1$ cm, so its TSA $= 6 \text{ cm}^{2}$. Total TSA $= 125 \times 6 = 750 \text{ cm}^{2}$.

Asked in: IMO

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