
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 solid right prism $ABCDEFGH$ has a height of $18,$ with bases $ABC$ and $EFG$ as equilateral triangles each of side length $14$. Points $P$, $Q$, and $R$ are the midpoints of edges $AE$, $BF$, and $CG$, respectively. The upper part of the prism is cut off through the points $P$, $Q$, and $R$. Compute the surface area of the sliced-off solid $CPQR$.

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