The box with anwsers is already there. It's the world around you. It,s one big box containing all boxes you can imagine. There is a box for everyone. For the philosophers, for the religious people, for the scientists, for the Hopi, etc. The one and only box is the one containing them all. This one will give you all the answers indeed. The problem is not the box but to find the questions to be asked. What if the box answers to all ontological or existential questions "ýes"? What if asked does god exist or does x exist the answer is always yes?
How would the box answer where it's made of and if someone created it? Or how can it know al the answers?. And what if someone asked then if it speaks the truth? Because it always answers the truth what must one think if it answers that it sometimes tells us the wrong answer? It would still be telling the truth. The wrong answer could be given after we ask the wrong question. You can just state it can't give wrong answers but maybe a wrong answer tells the truth also (a wrong answer could be that there is only one god or that dreams are not real). We can always examine if the answers given are really telling us the truth. Again you can say that it always tells you the right answer but maybe there are more than one right answers.
The most important observation to make is that I see only one box in your story(and why should answers always be given in words?). Why shouldn't there be more of them? What is so special about the number one? That shows prejudice on the side of Nature! So maybe it's best to look ar your proposal criticially and question the very assumption you make. But if you really think that such a box exists, which is the same as asking if realty can give us only one answer if we question it anf if it can ever be known if the answers given are true. You can simply state that such a reality exists (as science or religion does, in general) but that's asking for trouble so to speak. How tells us which version of reality is the only right one? This approach has given much trouble in the world (Aboriginal children were taken away from their parents because they didn't give them the proper education corrrsponding to the real state of affairs). You can counter that it has brought enlightenment but that's only for the minds already biased. But let's for a moment that such a box exists (there must be of course such a box or more of them but the answers given are what matters; and the questions can influence the contents of the boxes ir reality if you wish).
Philosophers can always ask questions like:
"What determines the Nature of the box?"
"Is the box of any use to me?"
"Why should I be bothered about the box?"
"Is our life determined or even created by the box"
"Who created the box?"
"Must I take the answers for granted even if it says yes?"
"Shall we live a live in accordance with the answers?"
"Is the box a gift of the Gods or of Nature maybe?"
"Can we ask questions that the box can't answer even if it says no?"
"Should I always believe the box?"
"Why can we only ask one question"
"Can we find an anwer ourselves that is better than the answer given by the box?"
"Will our life be less meaningfull if we answer questions ourselves?"
"Can the box listen to our answers too?"
"Does the box change if our thoughts about it change?"
"Shall we see the box as an oracle in contact with gods who have the most complete list of answers and questions?"
"Will the box ever give an answer that we don't understand yet but that can be understood in the future after more questions have been asked?"
"Is the box a kind of black box containing all information about all possible universes?"
"Will asking one question influence the next question?"
"Are all answers existing before the question to the answer is asked?"
"If so then how can the box know all the answers?"
"How can all answers exist in such a small box?"
"Can we predict the behavior of the box, that is can we know the answers ourselves?"
"Is asking a question to the box determined by other questions and from where comes our first question?"
"Can we exist without the box?"
"How looks the box inside and can it answer that question itself?"
"Can we look inside the box?"
"Can we know how the box looks like an Sich?"
"Does the box understand every language?"
"Is the box real?"
Etcetera. Can the box answer all these questions and if so would all answers be understood?