What dimensions would you use for a booth type hood if you wanted an exhaust rate of 1000 ft. per minute and capture rate of 100 ft./m to capture

What dimensions would you use for a booth type hood if you wanted an exhaust rate of 1000 ft.³ per minute and capture rate of 100 ft./m to capture organic vapors from a paint spray operation? Be sure to show your work. If you wanted to clean the air that you are capturing before exhausting it outside what type of air cleaning device would you recommend and why?