A 4 cm cube is cut into 1 cm cubes.
Question:

A 4 cm cube is cut into 1 cm cubes. Calculate the total surface area of all the small cubes.

Solution:

Edge of the cube (a) = 4 cm

Volume of the cube $=a^{3}$

$a=4^{3}$

$=64 \mathrm{~cm}^{3}$

Edge of the cube $=1 \mathrm{~cm}^{3}$

Therefore, Total number of small cubes $=64 \mathrm{~cm}^{3} / 1 \mathrm{~cm}^{3}=64$

Therefore, Total Surface area of all the cubes $=64 * 6 * 1=384 \mathrm{~cm}^{2}$

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