
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
Consider a solid right prism with a height of $20$ cm, with its bases as isosceles triangles where the base length is $18$ cm and the other two equal sides are $15$ cm each. Points $X$, $Y$, and $Z$ are located respectively at the midpoints of edges $AC$, $BC$, and $DC$. The prism is sliced off with a diagonal cut through points $X$, $Y$, and $Z$. Determine the surface area of the segmented part $CXYZ$ of the prism.

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