Answer:
The density would be same.
Step-by-step explanation:

Here, the mass of the original box = 68 g,
Suppose V be the volume of the original box,
Then, the density of the original box = 
After cutting this box into 3 equal pieces,
Mass of each piece = 
While, the volume of each piece = 
So, the density of each piece =
= 
Hence, the density would be same.