The volume of the cuboid is:
\[
36 \, \text{m} \times 15 \, \text{m} \times 8 \, \text{m} = 4320 \, \text{m}^3
\]
The volume of each cube is:
\[
6 \, \text{cm} \times 6 \, \text{cm} \times 6 \, \text{cm} = 216 \, \text{cm}^3 = 0.216 \, \text{m}^3
\]
The number of cubes is:
\[
\frac{4320}{0.216} = 20000
\]
Thus, the correct answer is \(10\).