
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 foot is divided into three slabs by making two cuts parallel to the top face of the cube. The first cut is made $\frac{1}{4}$ foot from the top, and the second cut is $\frac{1}{6}$ foot below the first cut. Determine the total surface area of the resulting solid assembly.

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