
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 solid measuring 2 feet by 1 foot by 1 foot is cut into four pieces by three cuts parallel to the top face of the solid. The first cut is $\frac{1}{4}$ foot from the top face, the second cut is $\frac{1}{6}$ foot below the first cut, and the third cut is $\frac{1}{9}$ foot below the second cut. The pieces are then glued together side by side in the sequence E, F, G, and H. Find the total surface area of this solid in square feet.

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