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 exact water capacity before dosing medications or supplements, sizing a filter or heater, planning water changes, or calculating safe stocking levels for your fish. 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

HeightSide Length

Enter the Hexagonal dimensions in inches above to calculate volume.

How to Measure a Hexagonal Aquarium

Measure the inside length of any one of the six identical flat panels. All sides of a regular hexagon are equal, so a single measurement is sufficient. If the sides are unequal, the tank is not a true hexagon and this formula will be approximate.

Always use a rigid tape measure or ruler for straight dimensions. For curved surfaces, a flexible sewing tape pressed against the glass gives the most accurate reading. Take each measurement at least twice and average the results to minimize error. If your tank has a plastic frame or trim, slide your measuring tool inside the frame so it contacts the glass directly. Accurate inside measurements give you the true water capacity of your fish tank — the number that matters for dosing, filtration, and stocking decisions.

For the most accurate volume calculation, measure to the actual water line rather than to the top rim of the tank. Most aquarists keep the water level 1–2 inches below the rim to prevent overflow during maintenance. This difference can reduce effective volume by 5–10% compared to a brim-full measurement.

Dimension labels: Side Length, Height

Hexagonal Volume Formula

V = (3√3 ÷ 2) × s² × H

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.

  1. Calculate hexagonal area: (3√3 ÷ 2) × 8² = 2.598 × 64 = 166.28 square inches
  2. Multiply by height: 166.28 × 20 = 3,325.54 cubic inches
  3. Convert to gallons: 3,325.54 ÷ 231 = 14.40 US gallons
  4. 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 stocking calculations and 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 displace additional water. In a heavily aquascaped tank, hardscape can reduce water volume by another 5–15%. The most accurate method to measure this is the water displacement approach: note the water level before and after adding hardscape, then calculate the volume of the water level change.

Once you have an accurate water volume — accounting for fill height, substrate, and hardscape — use it as the basis for all tank management decisions. Medication and supplement dosing should always be calculated against actual water volume, not the nominal gallon label. Filter turnover rate (typically 4–10× tank volume per hour) and heater wattage (approximately 3–5 watts per gallon) both depend on accurate volume. For a precise breakdown of 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.
  • Including the frame or trim: Plastic frames add 0.5–1.5 inches per side. Always measure inside the frame, from glass surface to glass surface.
  • Measuring to the rim instead of the water line: Unless you fill to the absolute top (which is impractical), measure to where you actually keep the water level for an accurate usable volume.
  • 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.

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Frequently Asked Questions

How do I measure a hexagonal aquarium for volume calculation?
Measure the inside length of any one of the six identical flat panels. All sides of a regular hexagon are equal, so a single measurement is sufficient. If the sides are unequal, the tank is not a true hexagon and this formula will be approximate.
What is the volume formula for a hexagonal tank?
The formula is V = (3√3 ÷ 2) × s² × H. Enter the required dimensions in inches to get cubic inches, then divide by 231 for US gallons or measure in centimeters and divide by 1,000 for litres.
How accurate is the hexagonal calculator?
Hexagon accuracy depends on all six sides being truly equal, since the formula assumes a regular hexagon — if your tank's panels vary in length, the single side-length measurement won't represent the whole shape accurately. Measure two or three of the six panels and confirm they match within a small tolerance before using this calculator.
Can I use this calculator for an acrylic hexagonal tank?
Yes, the formula works for either material. Hexagon tanks are built in both glass (six separately sealed panels) and acrylic (often molded or bonded), and acrylic panels tend to run thicker for the same size — measure the inside length of one panel from glass-to-glass or seam-to-seam, not the tank's outer footprint.
How much does a hexagonal aquarium weigh when full?
Multiply gallons by 8.34 lbs (freshwater) or 8.55 lbs (saltwater). A hexagon tank's weight distributes across six seams rather than four corners, spreading the load more evenly around the base perimeter than a rectangular tank — but because the six-panel base has a smaller footprint than a rectangular tank of similar volume, per-square-inch floor loading can still be higher.