
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
Alice creates a model of a large Egyptian pyramid for her history class. The pyramid has a height of 15 inches and a square base that measures 14 inches on each side. She needs to transport this model to her school. What is the smallest cube-shaped box Alice can use to safely transport her pyramid, keeping it upright? What is the volume of this box in cubic inches?

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