Question

A typical sugar cube has an edge length of 1 cm. If you had a cubical box that contained a mole of sugar cubes, what would its edge length be? (One mole = 6.02 ✕ 1023 units.)

Answer 1

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.