Number of electrons per cubic metre

[Forest1239879]

If you stretch a wire, increasing its length will the number of electrons per cubic metre decrease? Assuming the Cross sectional area stays the same. The number of electrons will surely stay the same, and won't increase just by you stretching it, and the number of cubic metres has increased, so n (electrons per cubic metre) will decrease?

 

[mgb_phys]

If you stretch it without changing the diameter then you must be decreasing the density.
So the amount of metal and so the amount of electrons in a cc in the middle must decrease.