
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
Given a rectangular box without a lid with a volume of $48 m^{3}$ and a height of $3 m$, calculate the minimum total cost of the box, where the cost per square meter for the bottom is $15$ yuan and the cost per square meter for the sides is $12$ yuan.

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