
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 a laboratory, a closed glass container in the shape of a cuboid is placed on a shelf. It contains 2.4 liters of distilled water, but the volume of the container is larger. The water reaches a height of $16 \mathrm{~cm}$. When the cuboid container is placed on another of its sides, the water level is at a height of $10 \mathrm{~cm}$. If we place it on yet another side, the water would reach only $9.6 \mathrm{~cm}$. Determine the dimensions of the container.

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