Elliptical Aquarium Volume Calculator
Elliptical aquariums have an oval cross-section that produces a softer, more organic appearance than rectangular tanks. The elongated profile offers excellent front viewing width while maintaining a narrower depth. These tanks work well as statement pieces on custom stands.
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 = π × a × b × H
Dimensions
Enter the Elliptical dimensions in inches above to calculate volume.
How to Measure a Elliptical Aquarium
- Semi-Major Axis (a): Measure the longest inside diameter, from one inner wall to the opposite inner wall, and divide it by two.
- Semi-Minor Axis (b): Measure the shortest inside diameter, at a right angle to the first, and divide it by two.
- 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 straight parallel sides and semicircular ends, use the Round End calculator instead.
Dimension labels: Semi-Major Axis, Semi-Minor Axis, Height
Elliptical Volume Formula
V = π × a × b × H
The calculator treats the outline as a true ellipse, so the result is exact for an elliptical tank. A tank with straight parallel sides and semicircular ends is not an ellipse: for a 36 × 14 inch outline the ellipse base area is 395.8 square inches against 461.9 for the round-end shape, so the elliptical calculator reads 14.3% low for it.
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 elliptical aquarium with the following inside dimensions: 15-inch semi-major axis, 10-inch semi-minor axis, 18 inches tall.
- Calculate cross-section: π × 15 × 10 = 471.24 square inches
- Multiply by height: 471.24 × 18 = 8,482.30 cubic inches
- Convert to gallons: 8,482.30 ÷ 231 = 36.72 US gallons
- Convert to liters: 36.72 × 3.785 = 139.00 liters
Result: This elliptical aquarium holds approximately 36.72 US gallons (139.00 liters) of water when filled to the measured height.
Elliptical vs Cylinder Volume
An elliptical tank's formula, V = π × a × b × H, is a direct extension of the cylinder formula, V = π × r² × H — a cylinder is simply an ellipse where the semi-major and semi-minor axes happen to be equal. This means an elliptical tank with a longer major axis and shorter minor axis will hold less water than a cylinder sized to the major axis alone, but more than a cylinder sized to the minor axis alone. Because both axes multiply together rather than one being squared, an elliptical tank's volume is somewhat less sensitive to a single measurement error than a cylinder's — but accuracy still depends on measuring both axes at true right angles to each other, not at arbitrary points around the curve.
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.
- Measuring the two axes at the wrong points:The semi-major and semi-minor axes must be measured perpendicular to each other at the tank's widest points along each direction. Measuring both axes near the same spot, rather than at true 90 degrees apart, distorts both readings.
- Halving the full diameter incorrectly:The formula needs the semi-axes (half the full diameter), not the full diameter. Measure the full major and minor diameters first, then divide each by two before entering them into the calculator.
Related Calculators
Need a different shape? The aquarium volume calculator covers all 20 tank shapes in one place.
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