
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
Pyramid $PABCD$ has a rectangular base with $AB = 10$ and $BC = 6$. If point $P$ is directly above vertex $A$ such that $\overline{PA}\perp \overline{AB}$, and the distance from $P$ to $B$ is $20$, find the volume of pyramid $PABCD$.

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