Since Paul makes 3 trips per day, and each trip involves going both down and up, this means he travels the full vertical distance of his apartment complex 3*2=<<3*2=6>>6 times a day.
Since there are 7 days in a week, this means he makes this trip 6*7=42 times a week.
Since each story is 10 feet tall, that means with 5 stories he travels 5*10= <<5*10=50>>50 feet each trip.
Since he made 42 trips of 50 feet each, this means he traveled 50*42= <<50*42=2100>>2100 feet in a week.
#### 2100