Since volume of each cube is 1 cm^3
Then we can get the volume of 1 mole of cubes, which is \(1 * 6.02 * 10^23 cm^3\)
The edge \(edge = v^1/3\)
And the new adge that we are looking for: \(new edge = (6.02*10^23)^1/3\)=\(= 1.8191 * 46415888.336
= 84435142.472\)
So, the final soution for the edge length of cube is 844km.
Do hope it helps!
Regards.