Question 752864
Compare volumes.  What unit do you want for the length?  


Volume for a cylinder (which is like what this wire will be): {{{L*pi*(d/2)^2}}} using L for length of the wire and d for the diameter.  


Suggestion:  arrange everything in meters.
1 centimeter = 0.01 meter
1 mm =0.001 meter
OR
100 centimeters = 1 meter
1000 mm = 1 meter


volume of cube = volume of cylinder

{{{highlight(66/(100*100*100)=(1/(1000*1000*1000))L*pi*(1/2)^2)}}}
{{{66*10^(-6)=10^(-9)L*pi*(1/2)^2}}}
Multiply left and right by {{{10^6}}}
{{{66=10^(6-9)L*pi*(1/4)}}}
{{{66=10^(-3)L*pi/4}}}
{{{66000=L*pi/4}}}
{{{4*66000/pi=L }}}
{{{highlight(L=8400)}}} meters