
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 rectangular prism measuring 1 foot in width, 1 foot in height, and 2 feet in length is cut into four pieces by three cuts parallel to the top face of the prism at distances of $\frac{1}{4}$, $\frac{1}{5}$, and $\frac{1}{6}$ foot from the top face. The cut pieces are then glued together end to end. Calculate the total surface area of this solid.

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