
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 $PQRSTU$ has a height of $10$ units and its bases are equilateral triangles with side length $10$ units. Points $M,$ $N,$ and $O$ are located at $1/4$ along the edges $PR,$ $QR,$ and $TR$ respectively. The prism is sliced off with a straight cut through points $M,$ $N,$ and $O.$ Determine the surface area of solid $RMON,$ the part that was cut off.

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