Cardboard box

Peter had square cardboard. The length of the pages was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit exactly 108 cubes with an edge 1 dm long.
Julia cut four squares with a side of 2 dm from the corners of the same cardboard and created a box. He wants to put cubes with an edge of 2 dm in it. How many cubes will fit in Julia's box?

Correct answer:

n =  16

Step-by-step explanation:

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