
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
What is the sidelength, in units, and the combined volume in cubic units, of three cubes, two of which are the same size and one different, if the larger cube’s surface area formed by combining them is 864 square units?

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