
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
Samantha creates a triangular pyramid for an art project. The height of her pyramid is 15 inches, and it has an equilateral triangular base with each side measuring 12 inches. She needs to find the smallest cube-shaped box to accommodate her pyramid so that she can transport it upright to her art show. What is the volume of this cube-shaped box, in cubic inches?

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