Distance between water molecules.

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To find the distance between water molecules, first calculate the volume occupied by one molecule by dividing the total volume of water (1 liter) by the number of molecules (3.344 x 10^25). This gives the volume per molecule, which can be treated as a cube. The side length of this cube can be determined by taking the cube root of the volume per molecule. The distance between neighboring molecules is then the length of one side of the cube. This approach assumes that molecules are arranged in a cubic lattice, which simplifies the calculation.
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Homework Statement


There are 3.344 x 10^25 molecules in 1 kg (1 litre) of water. What is the distance between the molecules?


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The Attempt at a Solution


I found the density of water in kg/m^3, then found # moles in 1 litre (55.6) and then from that using Na I found the # of molecules. I am unsure of where to go next with finding the distance betwee them.
 
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Assume that all molecules occupy identical cubic cells. (They vibrate, rotate, do Brown motion, so this volume is not the same as their actual size) How much volume does a molecule own? Imagine that each molecule occupies the centre of a its own cell. What is the length of one side of a cube and what is the distance between the neighbouring centre?

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