This is the 12391st most frequent Russian word.
картонный
Cardboard.
Here, 'картонного' is an adjective describing the material of the box, denoting it is made of cardboard.
Эта коробка сделана из картонного материала.
This box is made of cardboard material.
In this case, 'картонный' qualifies the type of house, specifying it is constructed from cardboard.
Картонный домик для кошки стоял у окна.
The cardboard house for the cat stood by the window.
Here, 'картонный' metaphorically describes the plan as unsubstantial or weak, using the connotation of fragility or lack of durability associated with cardboard.