
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
Eric is now building a larger pyramid with a height of 15 inches and a square base measuring 12 inches on each side. For extra safety, he desires a clearance of at least 3 inches above the pyramid when placed in a cube-shaped box. What is the minimum volume of the cube-shaped box required to hold the pyramid with the additional clearance?

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