
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 has a regular hexagonal base with a side length of 2, and its lateral faces are isosceles triangles with the same leg length. A right square prism is placed within the pyramid such that its base lies on the pyramid's base, and its top face is parallel and coplanar with one of the triangular lateral faces. If the side length of the square base of the prism is equal to its height, what is the volume of this right square prism?
A) 4
B) 6
C) 8
D) 10
E) 12

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