The volume of a neutron is about \( 10^{-45} \) cubic meters. Suppose you packed \( [2] \times 10^{57} \) neutrons into a cube so that the neutrons touched edge to edge. How big would the volume of the cube be? How big across would the cube be? How does the cube's size compare to the size of a neutron star? What can you conclude about the spacing of neutrons in a neutron star? (Note: Treat each individual neutron as a cube, instead of a sphere, so there are no microscopic gaps when they are packed together.)
The volume of the cube is \( \square 4 \times 10.12 \mathrm{~m}^{3} \). (Round the final answer to one decimal place.)
The cube would be \( \square \) km across. (Round the final answer to one decimal place.)
The cube's size is \( \square \) comparable to the size of a neutron star.
Based on your results, in a neutron star, the neutrons are nearly touching one another