
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Two cubes of different sizes are glued together to form the three-dimensional shape shown in the diagram. The vertices of the smaller cube's glued face are the trisection points of the edges of the glued face of the larger cube. If the side length of the larger cube is 3, what is the surface area of this three-dimensional shape?

Present the answer in LaTex format: \boxed{Your answer}
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