Verified Answer :

AL2006


You can't tell the dimensions from that information. 
All you can say is that the length multiplied by the width,
and then that product multiplied by the height, is 1,000 . 
But you can't say what the length or the width or the height is.

A few possibilities:

Length  Width  Height
      1            1        1000
      2            1          500
      4            5            50
      5            8            25
    10          10           10
    10          20             5  

There are many more possibilities.