
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
The faces of a parallelepiped are congruent rhombi. Additionally, it is known that there is a vertex of the solid in which any two edges form the same angle. Express the volume of the solid using the appropriate defining parameters of the rhombic faces.

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