Aquarium Displacement Calculator
Substrate, rocks, driftwood, and equipment all displace water and reduce your true aquarium volume. Enter your tank volume and materials below to calculate your actual water volume. For accurate interior dimensions before you begin, see how to measure aquarium volume.
Displacement Calculator
Step 1 — Your Tank Volume
Step 2 — Add Displacement Sources
Results
Substrate Displacement by Depth and Tank Size
| Substrate Depth | 10 gal tank (20×10 in) | 29 gal tank (30×12 in) | 55 gal tank (48×13 in) | 75 gal tank (48×18 in) |
|---|---|---|---|---|
| 1 inch | 0.54 gal | 0.97 gal | 1.67 gal | 2.31 gal |
| 2 inches | 1.07 gal | 1.94 gal | 3.34 gal | 4.62 gal |
| 3 inches | 1.61 gal | 2.90 gal | 5.01 gal | 6.93 gal |
Formula: Displacement = (L × W × D) ÷ 231 × (1 − void fraction). For the underlying volume formulas behind every tank shape, see aquarium volume formulas.
Values above use coarse gravel (void fraction 0.38). Fine sand displaces approximately 20% more than coarse gravel at the same depth. To express any of the gallon figures above in litres, use the aquarium volume unit converter.
Why Displacement Matters
Every object placed inside an aquarium displaces an equal volume of water. Substrate is the largest single source of displacement in most tanks — two inches of coarse gravel across the full floor of a 55-gallon tank removes approximately 3.3 gallons of water volume. Sand displaces more than gravel at the same depth because its smaller particles pack more tightly, leaving fewer void spaces. A tank labelled “55 gallons” that contains two inches of fine sand, 80 pounds of live rock, and standard equipment may hold as little as 47–48 gallons of actual water — a 13–15% reduction from the nominal rating.
Accurate actual water volume matters most for two purposes: chemical dosing and understanding your biological load. Dosing a medication or supplement based on the nominal 55-gallon label when only 47 gallons of water are present results in a 17% overdose. The fill gap — the air space between the water surface and the tank rim — contributes meaningfully to this reduction; a 1.5-inch gap in a 55-gallon tank (48 × 13 inches) removes approximately 4.1 gallons. Use this calculator before dosing any new treatment, and recalculate whenever you add or remove significant hardscape.
To find the geometric volume of your tank shape in the first place, start with the free aquarium volume calculator, then subtract displacement here for your true water capacity.
Displacement Questions
How much volume does aquarium gravel displace?
How much volume does live rock displace in a reef tank?
Does the fill gap between the water surface and tank rim count as displacement?
How do I calculate the actual water volume of my aquarium?
Why does fine sand displace more water than coarse gravel?
Should I use calculated volume or actual water volume for dosing?
Related Tools and References
Standard tank sizes with calculated and actual water volumes
Definitions of displacement, substrate, void fraction, and more
Step-by-step measurement guide for every tank shape
Common questions about volume, dosing, and displacement
Convert displacement results between gallons, liters, and cubic units
Calculate base tank volume for standard rectangular tanks
Add your sump and refugium to calculate total system volume