
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
Triangle $ABC$ has sides of length $7$, $8$, and $9$, and is positioned such that vertex $A$ lies on the positive $x$-axis, vertex $B$ on the positive $y$-axis, and vertex $C$ on the positive $z$-axis. Let $O$ be the origin. Determine the volume of tetrahedron $OABC$.
A) $\frac{10\sqrt{99}}{3}$
B) $\frac{8\sqrt{99}}{3}$
C) $\frac{8\sqrt{102}}{3}$
D) $\frac{7\sqrt{99}}{3}$
E) $\frac{9\sqrt{99}}{3}$

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