<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 When a cube is cut into two pieces with a single plane cut, two polyhedra are obtained. Determine the number of faces of a polyhedron that cannot be obtained in this way. Express your answer as a single number. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
8
When a cube is cut into two pieces with a single plane cut, two polyhedra are obtained. Determine the number of faces of a polyhedron that cannot be obtained in this way. Express your answer as a single number.
test