
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
One of the sides of the base of a right triangular prism is equal to \(a\), and the angles adjacent to it are \(\alpha\) and \(\beta\). Find the lateral surface area of the prism, given that its volume is \(V\).

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