
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 area of a rectangular diagonal cross-section fitting onto two parallel edges of a certain cuboid can be three different values: \( t_{1} = 60 \), \( t_{2} = 4 \sqrt{153} \), and \( t_{3} = 12 \sqrt{10} \). Calculate the surface area and the volume of the cuboid.

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