The correct answer is (c) 200 cm.
The surface area of a cuboid is given by the formula $2(lb+bh+lh)$, where $l$, $b$, and $h$ are the length, breadth, and height of the cuboid.
In this case, the length and breadth of the cuboid are equal to the side length of each cube, which is $\sqrt[3]{125}=5$ cm. The height of the cuboid is the sum of the side lengths of the two cubes, which is $10$ cm.
Therefore, the surface area of the cuboid is $2(5\times5+5\times10+10\times5)=200$ cm.
Option (a) is incorrect because it is the surface area of a cube with side length $5$ cm, which is half the surface area of the cuboid.
Option (b) is incorrect because it is the surface area of a cuboid with side length $5$ cm and height $2$ cm, which is one-fourth the surface area of the cuboid.
Option (d) is incorrect because it is not a possible surface area of a cuboid.