“Why does the box claim a much bigger room than the calculator?”
Many boxes quote the area a purifier can clean once an hour. AHAM’s room size assumes about 4.8 air changes an hour, which is what you want for allergies or smoke. Divide a once-an-hour claim by about five.
Example: a box that says 1,000 sq ft once an hour is closer to 210 sq ft at 4.8 air changes.