
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 $PQRSTUV$ has a height of $20$. Its bases are right-angled triangles where $PQ=15$, $PR=20$ and $R$ is the right angle. Points $X$, $Y$, and $Z$ are located on edges $PQ$, $QR$, and $RV$ respectively, where $PX = \frac{3}{5}PQ$, $QY = \frac{1}{4}QR$, and $ZV = \frac{1}{3}RV$. A slice of the prism above is cut off with a straight cut through points $X$, $Y$, and $Z$. Determine the surface area of solid $RXYZ$, the part that was sliced off.

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