
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 each side of length 2 feet is sliced into four segments by three cuts parallel to the top face of the cube. The first cut is $\frac{1}{4}$ foot from the top, the second cut is $\frac{1}{5}$ foot below the first cut, and the third cut is $\frac{1}{8}$ foot below the second cut. The pieces from top to bottom are called A, B, C, and D. These segments are then stacked vertically in the same order. Calculate the total surface area of the resulting solid.

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