
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 pyramid $PQRS$ has a rectangular base $QRS$ with $QR = 10$, $RS = 5$. If $\overline{PQ}\perp \overline{QR}$, $\overline{PQ}\perp \overline{QS}$, and $PQ = 9$, find the volume of pyramid $PQRS$.

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