
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
The volume of a solid rectangular prism with dimensions $l \times w \times h$ is $V = lwh$. If a rectangular prism with dimensions $3 \times 5 \times 12$ is cut in half by a vertical cut through four vertices, determine the surface area of one of the resulting triangular-based prisms.

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