
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 base of a parallelepiped is a rhombus with side length \( a \) and an acute angle of \( 30^{\circ} \). The diagonal of one of the lateral faces is perpendicular to the base plane, and the lateral edge forms a \( 60^{\circ} \) angle with the base plane. Find the total surface area and the volume of the parallelepiped.

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