Hexagonal Aquarium Volume Calculator
Hexagonal aquariums provide six flat viewing panels that give a near-360-degree experience while using flat glass that avoids optical distortion. Their geometric shape makes them popular as coffee-table tanks and freestanding display pieces. All six sides must be equal in a regular hexagon.
Use this calculator to get the water capacity before dosing medications or supplements, sizing a filter or heater, or planning water changes. For total system volume including a sump, use the sump volume calculator.
Formula and unit notes are checked against the methodology described on our About page.
V = (3√3 ÷ 2) × s² × H
Dimensions
Enter the Hexagonal dimensions in inches above to calculate volume.
How to Measure a Hexagonal Aquarium
- Side Length: Measure the inside length of one panel, from seam to seam. If you only know a listed width, the side length is half the corner-to-corner width, or the flat-to-flat width divided by 1.732.
- Height: Measure from the inside bottom of the tank up to the water line.
Measure inside dimensions, glass to glass, inside any frame or trim, and measure each dimension twice.
- If the tank has a long flat back against a wall with its two front corners cut away, rather than six equal panels, use the Flat Back Hexagon calculator instead.
Dimension labels: Side Length, Height
Hexagonal Volume Formula
V = (3√3 ÷ 2) × s² × H
The calculator treats the base as a regular hexagon: six equal triangles of side s, so the base area is about 2.598 × s². All six panels must be the same length; if they differ, the result is an approximation.
This formula calculates the interior volume in cubic units matching your input measurements. If you measure in inches, the result is cubic inches; divide by 231 to convert to US gallons, or multiply gallons by 3.785 for liters. If you measure in centimeters, the result is cubic centimeters; divide by 1,000 for liters.
Step-by-Step Example Calculation
Consider a hexagonal aquarium with the following inside dimensions: 8-inch side length, 20 inches tall.
- Calculate hexagonal area: (3√3 ÷ 2) × 8² = 2.598 × 64 = 166.28 square inches
- Multiply by height: 166.28 × 20 = 3,325.54 cubic inches
- Convert to gallons: 3,325.54 ÷ 231 = 14.40 US gallons
- Convert to liters: 14.40 × 3.785 = 54.50 liters
Result: This hexagonal aquarium holds approximately 14.40 US gallons (54.50 liters) of water when filled to the measured height.
Side Length vs Face-to-Face Width
The most common measurement mix-up on a hexagon tank is confusing the side length — the length of one flat panel — with the face-to-face width, which is the distance straight across the tank from one panel to the opposite parallel panel. On a regular hexagon, face-to-face width equals the side length multiplied by √3 (about 1.73), so a 10-inch side length corresponds to roughly a 17.3-inch face-to-face width. Entering the wider face-to-face measurement into the side-length field would overstate the calculated volume substantially, since side length is squared in the formula. Always measure a single flat panel edge-to-edge, not the distance across the tank.
Water Volume Adjustments
Fill Height
The calculator above assumes you fill the tank to the full measured height. In practice, most aquarists keep the water level 1–2 inches below the rim to prevent overflow during water changes, when adding hands and equipment, or if fish splash. Use the fill height adjustment toggle in the calculator to enter your actual water line height for a more realistic volume estimate.
For tanks with open-top (rimless) designs, the gap between water surface and glass top is especially important to track. A 2-inch gap on a 20-inch tall tank reduces effective volume by 10%, which is significant for medication dosing.
Substrate Displacement
Gravel, sand, and planted substrates occupy space that would otherwise hold water. A 2-inch layer of gravel in a standard rectangular tank displaces roughly 5–8% of the total tank volume. Use the substrate displacement toggle in the calculator to subtract this volume from your water capacity estimate.
Rock and Decoration Displacement
Large rocks, driftwood, and dense decorations also displace water, which this calculator does not subtract. Use the aquarium displacement calculator to estimate how much.
For how glass thickness reduces interior volume on your specific tank size, see the glass thickness and volume loss guide.
Water Weight Estimate
The calculator displays estimated water weight for both freshwater (8.34 lbs per gallon) and saltwater (8.55 lbs per gallon at 1.025 specific gravity). These estimates help you determine whether your floor and stand can safely support the filled tank, substrate, and equipment combined.
Water weight estimates are approximate and based on standard conditions. Freshwater weight assumes pure water at 62 °F (16.7 °C) with a density of 8.34 lbs/gal (1.0 kg/L). Saltwater weight assumes a specific gravity of 1.025, typical of reef aquariums. Actual weight may vary depending on water temperature, salinity, dissolved minerals, and substrate displacement. Always verify that your aquarium stand and floor can support the total weight of the filled tank, substrate, equipment, and decorations before filling.
Common Measurement Mistakes
- Measuring outside dimensions: Glass or acrylic thickness ranges from 3 mm to 19 mm per panel. Using outside dimensions overstates volume, especially on smaller tanks where glass thickness is a larger proportion of total width.
- Mixing measurement units: Entering some dimensions in inches and others in centimeters produces nonsensical results. Use one unit system consistently and let the calculator handle conversions.
- Confusing side length with face-to-face width:The formula needs the length of one flat panel (side length), not the distance across the tank from one flat face to the opposite one. These are different measurements — face-to-face width is always longer than a single side length on a regular hexagon.
- Assuming all six sides are equal without checking:Some hexagon-style tanks have unequal panels by design. If your tank's sides aren't all the same length, this formula will only approximate the true volume — measure at least three sides to confirm before relying on the result.
Related Calculators
Need a different shape? The aquarium volume calculator covers all 20 tank shapes in one place.
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