It will take 33,3333,333.33secondsto grow a 10cm (0.1m) strand.
Why?
It's a conversion problem, so, to solve it, we need to make the units consistent.
Let's convert from cm to meters, since the rate of grow is in m/s.
[tex]1m=100cm\\\\10cm*\frac{1m}{100cm}=0.1m[/tex]
Now, calculating we have:
[tex]Grow=rate*time\\\\0.1m=3x10^{-9}\frac{m}{s}*time\\\\time=\frac{0.1m}{3x10^{-9}\frac{m}{s}}=33,3333,333.33seconds[/tex]
Hence, It will take 33,3333,333.33seconds to grow a 10cm (0.1m) strand.
Have a nice day!