
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
A rectangular prism with dimensions $20 \mathrm{~cm} \times 30 \mathrm{~cm} \times 40 \mathrm{~cm}$ is placed such that the edge of length $20 \mathrm{~cm}$ is on the table, and the edge of length $40 \mathrm{~cm}$ forms a $30^{\circ}$ angle with the table. The prism is partially filled with water, which wets a quarter of the upper surface with dimensions $20 \mathrm{~cm} \times 40 \mathrm{~cm}$.

Determine the volume of water in the rectangular prism.

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