If you are in a reference frame where you see the cube moving relative to the expanding sphere of light, you can easily calculate the speed of the cube. All you have to do is use your own clocks to measure the light transmission times, and use your own measuring rods to measure the size of the cube. Then you can calculate how fast the cube is moving. You don't even need to know SR. This is what MD has been doing.
But if you are in the reference frame of the cube, the cube is not moving. The expanding sphere of light is still a sphere, expanding relative to the center of the cube. Now, if you use your own clocks to measure time, and you use your own measuring rods to measure distance, you can't figure out how fast the cube is moving. All experiments tell you that the cube is at rest.
Is that how you understand it?