
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
The solid has a square base with side length $s$. The upper edge, parallel to the base, has length $3s$. The other edges from the vertices of the base to the vertices of the upper edge have length $s$. If $s = 4\sqrt{2}$ and the height of the solid from the base to the upper edge is $3\sqrt{2}$, calculate the surface area of the solid.

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