Suppose you have N objects, but you are going to lay them out evenly over an area= L x L. What is the smallest distance between each object? Do you feel the need to impose any conditions on N or L to make this work out properly? (Your answer should be in equation form) 

1b. Now suppose you have N objects, but you are going to lay them out evenly over a volume= L x L x L. What is the smallest distance between each object? Do you feel the need to impose any conditions on N or L to make this work out properly? 

1c. Take the case presented in 1b and suppose that N is very large. How can we simplify this equation?