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You can't tell from only that much information.

We know the height has to be 4.

The length and width could be

1 x 100
2 x 50
3 x 33ft 4in
4 x 25
5 x 20
6 x 16ft 8in
8 x 12.5
9 x 11ft 1-1/3in
10 x 10

Problems that are bigger then the dimensions:

1). If the box is a cardboard carton, it falls apart before you can fill it.

2). Even if it's waterproof, 400 cubic feet of water weighs something like 12.5 tons.
Regardless of what it's made of, it's doubtfull that the box holds together for too long.

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Q: What are dimensions of box 4 feet high that can hold 400 cubic feet of water?
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