If there are 17 different cubes which are identical it can be arranged in 17! ways.
So, 17 identical cubes can be arranged in rectangle by [tex]\frac{17!}{17!}=1 way[/tex].
Now it is also given that the the cuboid which is in the shape of a kitchen has height of 1 unit.
So, total possible ways = (1 way in which all the cubes are arranged)×Single cuboid having height 1 unit=1 way