This is an optimization calculus problem where you would need to know a little bit more about the box, atleast i would think. You would just need to use the volume equation of a sphere as the restrictive equation in the optimization problem. Perhaps there is a way to solve with the given information, but i do not know how to.
Positive infinity and negative infinity
Sorry, what exactly is the question?
One million: 10^6
Ten million: 10^7
So the exponent will be anywhere between 6 and 7, inclusive
1.) 40, 2.) 8, 3.) 18, 4.) 15, 8.) 12, 9.) 30, 10.) 72, 11.) 36