The original side length of the cube is approximately 0.03 mm.
Here's how we can calculate it:
Pressure change: We know the volume change of the cube and the bulk modulus of the material. The bulk modulus relates the pressure change to the volume change. Therefore, we can calculate the pressure change using the following formula:
pressure_change = volume_change * bulk_modulus
Side length change: Assuming the cube expands uniformly, the side length change is proportional to the pressure change. We can calculate the side length change using the following formula:
side_length_change = cbrt(pressure_change / (3 * bulk_modulus))
Original side length: Since the cube expands uniformly, the original side length is simply twice the side length change.
original_side_length = side_length_change * 2
By plugging in the given values, we get the original side length of the cube as approximately 0.03 mm.
The probable question is attached in the image.