All we can tell about the carton is ...
-- Its length is a number 'L' inches.
-- Its width is a number 'W' inches.
-- Its height is a number 'H' inches.
-- 'L', 'W', and 'H' are whole numbers.
-- The product of (L · W · H) = 1,000 .
We can't tell anything else about what the numbers L, W, and H are.
They could be 10, 10, and 10 .
They could be 1, 1, and 1,000 .
They could be 1, 2, and 500 .
They could be 1, 10, and 100 .
They could be 2, 4, and 125 .
There are many other sets of numbers that they could be.
We just have no way to know.