
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
Consider a 3x3x2 grid of dots that forms a rectangular prism with points at coordinates $(i, j, k)$ for $i, j \in \{0, 1, 2\}$ and $k \in \{0, 1\}$. How many unique rectangular boxes can be formed, where vertices are at these grid points?

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