
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 $PQRSTUWXYZ$ with a height of $20$ units has regular pentagonal bases, each side of the base measuring $10$ units. Points $X, Y, Z$ are defined on edges $PQ$, $QR$, and $RS$ respectively, each at a third of the length of the edge from point $P, Q, R$ accordingly. A plane slices through $X, Y, Z$ removing a top portion of the prism. Compute the total surface area of the sliced-off pentagonal pyramid $XYZTR$.

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