
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
Amelia constructs a cone for a science exhibition. Her cone has a height of 15 inches and a circular base with a diameter of 8 inches. Amelia needs to find the smallest cube-shaped box to pack her cone in such that it can be stored and transported upright. What is the volume of this box, in cubic inches?

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