
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
A cube is placed perfectly inside a cuboidal container with a gap of 1 unit on all sides between the cube and the container. The surface area of the cube is 864 square units. Calculate the volume of the cuboidal container.

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