
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
Lisa is now making another rectangular cardboard box with square bases. She wants the height of the box to be 5 units greater than the side of the square bases. What should the height be if she wants the surface area of the box to be at least 150 square units while using the least amount of cardboard?

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