In a gas at standard temperature and pressure, what is the length of the side of a cube that contains a number of molecules equal to the population of the earth (about 6 million people at present)?

I know STP is 1 atm and 273K, but I have no clue how to start this problem. Any help is appreciated.

6*10^9 is 10^-14 of Avogadro's number of molecules, so the amount of gas is 10^-14 moles. That means the volume is

22.4*10^-14 liters = 22.4*10^*10-11 cm^3

So, take the cube root of that for the length of a side.