
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 two-cubic-foot cube is cut into three pieces by two cuts parallel to the top face of the cube. The first cut is $\frac{2}{3}$ foot from the top face. The second cut is $\frac{5}{14}$ foot below the first cut. From the top to the bottom the pieces are labeled E, F, and G. Find the total surface area of this solid in square feet after the cuts.

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