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An ordinary elementary school math problem (non-Olympic math)
Analyze it,

Four identical cubes are glued together,

The area of (4- 1)*2=6 faces is reduced.

So the area of each face of the original cube is:

54/6=9 square centimeters

It turns out that the side length of the cube is 3 cm.

The volume of the original cube is 9*3=27 cubic centimeters.