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The correct answer is $27$. It's given that a triangular prism has a volume of $216 \text{cubic centimeters} \left({\text{cm}}^3\right)$ and the volume of a triangular prism is equal to $Bh$, where $B$ is the area of the base and $h$ is the height of the prism. Therefore, $216=Bh$. It's also given that the triangular prism has a height of $8 \text{cm}$. Therefore, $h=8$. Substituting $8$ for $h$ in the equation $216=Bh$ yields $216=B\left(8\right)$. Dividing both sides of this equation by $8$ yields $27=B$. Therefore, the area, $\text{in} {\text{cm}}^2$, of the base of the prism is $27$.