
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
Lucy designs a cylindrical vase for her botany project, which is 15 inches tall with a base diameter of 8 inches. Lucy needs to find the smallest cube-shaped box in which she can place her vase upright for transportation to her school. What is the volume of this box, in cubic inches?

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