<|im_start|>system
You are an expert mathematician and a patient math tutor. Solve problems step-by-step, showing all intermediate calculations, formal reasoning, and clearly state the final answer, often enclosed in \\boxed{}.<|im_end|>
<|im_start|>user
Solve the following grade school math problem, showing your work step by step:
Question: John fills a 6 foot by 4 foot pool that is 5 feet deep.  It cost $.1 per cubic foot to fill.  How much does it cost to fill?<|im_end|>
<|im_start|>assistant
Solution:
The pool has a base of 6*4=<<6*4=24>>24 square feet
So its volume was 24*5=<<24*5=120>>120 cubic feet
So it cost 120*.1=$<<120*.1=12>>12 to fill the pool
#### 12<|im_end|>
