
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 with a total volume of 1 cubic foot is cut into four pieces by making three cuts parallel to the top face. The first cut is placed 0.4 feet from the top, the second cut is 0.3 feet below the first, and the third cut is 0.1 feet below the second. Calculate the total surface area of the new solid.

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