Draft and Displacement Calculator
Calculate boat displacement from underwater hull volume, or estimate draft from a known displacement. Archimedes' principle states that a floating object displaces water equal in weight to the object's own weight. Enter the hull's submerged volume (or length, beam, and draft with a prismatic coefficient) and water type to get displacement in pounds and long tons.
Displacement formula
Submerged volume (ft3) = LWL × Beam × Draft × Cp
Displacement (lbs) = Volume × Water density (lb/ft3)
Displacement (long tons) = Displacement (lbs) / 2,240
The prismatic coefficient (Cp) accounts for the fact that a hull is not a rectangular box. It is the ratio of the displaced volume to the volume of a prism with the same length and maximum cross-section area. Typical values: 0.50 to 0.54 for cruising sailboats, 0.60 to 0.70 for powerboats.
Draft and displacement calculator: frequently asked questions
What is displacement in boating?
Displacement is the weight of water a boat displaces when floating. By Archimedes' principle, a floating object displaces a volume of water equal in weight to the object itself. A 20,000-lb displacement boat displaces 20,000 lbs of water. Displacement is used to classify boat types (light, medium, heavy displacement).
What is draft?
Draft (or draught) is the vertical distance from the waterline to the lowest point of the hull (keel). It determines the minimum water depth needed for safe navigation. A boat with a 5-foot draft needs at least 5 feet of water plus a safety margin to avoid grounding.
How does Archimedes' principle apply to boats?
Archimedes' principle states that a body immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid. A boat floats when the weight of displaced water equals the boat's weight. Displacement (lbs) = Volume submerged (ft3) * seawater density (64 lbs/ft3) for saltwater, or 62.4 lbs/ft3 for freshwater.
What is displacement-to-length ratio?
The displacement-to-length ratio (D/L) is a measure of a boat's relative heaviness: D/L = (Displacement in long tons) / (0.01 * LWL in feet)^3. A D/L below 100 is an ultralight racing yacht; 100 to 200 is light; 200 to 275 is moderate; 275 to 350 is heavy; above 350 is very heavy (blue water cruising or traditional designs).
Does displacement change between salt water and fresh water?
Yes. Saltwater is denser (approximately 64 lbs/ft3 or 1,025 kg/m3) than freshwater (62.4 lbs/ft3 or 1,000 kg/m3). The same boat will float slightly higher in saltwater and sit slightly lower in freshwater. The difference is about 2.5%, which can be significant for vessels loaded near their marks.
Official sources
- NOAA Office of Coast Survey: Seawater density reference.
- NIST: NIST SP 811 units guide.
Reviewed by the CalculatorHub team, edited by James Graham, 14 June 2026. See our methodology.