What structure encloses the most space with the least surface area (has the the highest volume to surface area ratio)?

That structure would be the Sphere.

With a Volume of V = 4/3*π*r**3

And a surface area of A = 4*π*r**2

r =(A/(4*π))**1/2
 
V = 4/3*π* [A^(3/2)/(8 π^(3/2))] = A^(3/2)/(6 sqrt(π))

We can graph V in tems of A

And compare it to the graph y = x

We can see that the Volume increases more rapidly compared to the Area

My pigs teeth have already came in years ago, with my first molars, and my second molars are pretty much in. my wisdom teeth will be unable to come in, but i'm getting those out on monday.