The room measures 10 by 10 feet with 8-foot ceilings — 800 cubic feet of air. The Bathroom preset loads 8 ACH, and the main panel does the textbook math: 800 × 8 ÷ 60 gives a base of about 107 CFM. That is the number most charts on the internet would hand you, and it is honest — for a fan blowing into open air. The whole first layer of the tool took two inputs and about ten seconds.
The second layer is where this installation parts ways with the chart. The duct runs 25 feet to the roof with two 90° bends: the loss fields add 5% for the run and 10% for the elbows, lifting the requirement to about 123 CFM. The ×1.2 safety factor covers the wall cap, the future lint, and the flex sag, and the final figure lands near 147 CFM. The third layer keeps it quiet: through a 6-inch duct that airflow moves at a comfortable velocity in the normal band, and the fan-size recommender rounds 147 up to the next stocked blower — a 150 CFM unit, not the 110 CFM box the aisle instinct would have grabbed.
Notice what the outputs also handed you: the metric equivalents for a fan bought abroad (about 250 m³/h), the velocity reading that predicted the noise before purchase, and a loss breakdown you can show the inspector. One room, three inputs, and every downstream decision — fan, duct, budget, and expectations — has a defensible number behind it. That is the entire product philosophy of the site in one walkthrough: the math is yours to check, the margins are yours to set, and the velocity verdict refuses to flatter you.