
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
Consider a triangle $DEF$ with side lengths $7$, $8$, and $9$. This triangle has vertices located on the positive $x$-axis, $y$-axis, and $z$-axis respectively. Let $O$ be the origin. Determine the volume of tetrahedron $ODEF$.
A) $3\sqrt{11}$
B) $4\sqrt{11}$
C) $6\sqrt{11}$
D) $8\sqrt{11}$
E) $\sqrt{55}$

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