question: The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
  Choices:
  A:3
  B:4
  C:5
  D:6
query_wo: Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
  Question: The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
  Choices:
  A:3
  B:4
  C:5
  D:6
query_cot: Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
  Question: The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
  Choices:
  A:3
  B:4
  C:5
  D:6
question_for_eval: The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
  Choices:
  A:3
  B:4
  C:5
  D:6