
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 frustum of a pyramid with square bases sits on a base with side $a = 6\sqrt{2}$ cm, and the upper base has side $b = 12\sqrt{2}$ cm. The height of the frustum (distance between the bases) is $h = 12$ cm. Determine the volume of this frustum.

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