The phrase "a different box" is correct and usable in written English.
You can use it when referring to an alternative container or option that is distinct from another one previously mentioned.
Example: "If the first box is too small, you might want to consider using a different box for your items."
Alternatives: "an alternative box" or "another box".
Inspection of Table 7 shows that around half of the nonregretters who switched in the baseline condition in Experiment 3 explained their decision in terms of simply wanting a different box, and they differ from the regretters in this respect.
It's just television that arrives in a different box".
"We have a political way of looking at things, and they're in a different box.
If she'd ticked a different box on the claim form it might have been a different story.
After a moment, the red squares disappear, and the blue square moves to a different box on the grid.
"I got one out and plugged it into a telly and it worked and I got another out of a different box and that one worked as well.
In a different world — a different boxing era, a different media economy — a fight like Ward-Kovalev might be included in HBO's monthly subscription, which hasn't recently seemed like a great bargain for fight fans.
Laguerre reorganized the magazine, giving each sport its own separate department, so there would be a dedicated staff of writers in the baseball department, and a different boxing department, and another for pro football, and so on.
Fear conditioning and extinction as well as retention of the extinction memory were performed in two different boxes: Box A that served for acclimation and fear conditioning and Box B that served for extinction training and retention tests.
We therefore calculated the predicted mean activation rate as a function of the concentration a for different box sizes, by taking the kernel of the Poisson distribution with the auto-activation function itself.
The case against Gaddafi opens a very different box – that of the excesses and wild years of the former ruler's children.
