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