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Answer:

there are 48cubes fetted into a box

The answer is 48.
You find the volume of the box - 12 X 8 X 4 = 384
Find the volume of the Cube with side 2 cm - 2 X 2 X 2 = 8
344 divided by 8 = 48
Therefore, 48 cubes would fit into the box
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