
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 pyramid is located inside a unit cube such that its apex is at vertex $A$ (0, 0, 1), directly above the rectangle $VWXYZ$ which is at the base of the cube (z=0 plane). The rectangle has a length of $\frac{1}{2}$ unit and a width of $\frac{1}{4}$ unit. Calculate the volume of this pyramid.

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