
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 volume of 1 cubic meter is cut into four layers by three parallel cuts along the vertical axis. The first cut is $\frac{1}{4}$ meter from the top, the second cut is $\frac{1}{6}$ meter below the first, and the third cut is $\frac{1}{12}$ meter below the second. If the pieces are rearranged in the sequence of B, C, A, and D from top to bottom, calculate the total surface area of the new solid in square meters.

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