
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 pyramid has a base with a length of 20 cm and a width of 10 cm, and its altitude is 12 cm. A cut is made parallel to the base of the pyramid 6 cm from the apex, creating a smaller pyramid and a frustum. The area of the top rectangle of the frustum is one-fourth the area of the base of the original pyramid. Calculate the volume of the frustum.

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