
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

In the magazine "Young Constructor," there is a blueprint for assembling a small box, depicted in the drawing. The top rectangle is the lid of the box, the bottom rectangle is the base of the box, and the remaining four rectangles are the side walls.

Calculate the length, width, and height of the box in centimeters, which can be glued together if the dimensions specified in the drawing are followed. Provide the answers in any order.

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