Aquarium Volume Calculator - Seven Fish Tank Shapes

Use this aquarium volume calculator to size rectangular, cube, cylindrical, half cylinder, quarter cylinder, bow front, and corner bow front tanks. Output includes US gallons, liters, cubic meters, and a 1 cm fish per 1 L stocking estimate.

Updated: June 19, 2026 • Free Tool

Aquarium Volume Calculator

Pick the shape of the aquarium. The calculator swaps dimension inputs for the chosen geometry.

Interior length of the tank in inches. For a cube this is also the side length.

Interior width in inches (straight-side width for bow front).

Interior water height of the tank in inches.

Interior diameter in inches. Only used for cylinder, half cylinder, and quarter cylinder.

Maximum width of the curved front in inches. Only used for bow front and corner bow front.

Results

Volume (US gallons)
0gal
Volume in Liters 0L
Volume in Cubic Meters 0m^3
Fish Stocking (1 cm fish / 1 L) 0fish

What Is an Aquarium Volume Calculator?

An aquarium volume calculator is a free, multi-shape planning tool that converts the inside dimensions of a fish tank into the four numbers a fishkeeper needs: total water volume in US gallons, the same volume in liters, the same volume in cubic meters for aquarium-room load, and a quick stocking estimate based on the 1 cm of fish per 1 L hobby rule. It supports seven common tank geometries - rectangular prism, cube, cylinder, half cylinder, quarter cylinder, bow front, and corner bow front - and lets you swap the dimension inputs to match the chosen shape.

  • Sizing a new tank purchase: matching interior dimensions to the marketed gallon size before committing to a stock tank.
  • Cross-checking a manufacturer label: comparing the actual interior volume of a used tank against the gallon rating.
  • Sizing equipment and water change math: computing volume to size a filter, heater, and weekly water change.
  • Planning stocking density: estimating the maximum number of small community fish.

The aquarium volume drives filter flow rate, heater wattage, medication dosing, fertilizer dosing for planted tanks, and the weekly water change percentage. Most tanks hold 90 to 95 percent of the marketed rating once gravel, substrate, and equipment are subtracted.

Once the volume is known, the next planning step is sizing the glass panels for a custom build, and our Aquarium Glass Thickness Calculator handles side, front, and bottom glass thickness plus total filled weight.

How the Aquarium Volume Calculator Works

The calculator routes the input dimensions to the matching geometric formula for the selected tank shape, computes the raw volume in cubic inches, then divides by 231 in^3 per US gallon and 61.0237 in^3 per liter. The fish stocking estimate divides the liter result by 3 and rounds down.

rectangular V = L x W x H; cube V = L^3; cylinder V = pi x (D/2)^2 x H; half cylinder V = cylinder / 2; quarter cylinder V = cylinder / 4; bow front V = L x W x H + 0.5 x r^2 x (alpha - sin alpha) x H; corner bow front V = L x W x H + 0.25 x r^2 x (alpha - sin alpha) x H
  • length: Interior length in inches. Used as the rectangle side for rectangular and bow front, as the cube side for cube.
  • width: Interior width in inches (straight-side width for bow front).
  • height: Interior water height in inches. Used by every shape.
  • diameter: Interior diameter in inches. Only used by cylinder, half cylinder, and quarter cylinder.
  • fullWidth: Maximum width of the curved front in inches. Only used for bow front and corner bow front.

The bow front formula is the only non-trivial piece of geometry on the page. The curved front panel is a circular segment whose chord is the tank length and whose sagitta is the difference between the full bow-front width and the straight width.

Worked example: 75 gallon reverse-solver using NIST conversions

shape = rectangular prism, height = 22 in, width = 22 in, volume = 75 US gallons

length = (75 x 231) / (22 x 22) = 17325 / 484 = 35.79 in

A 75 gallon rectangular tank with both height and width set to 22 inches works out to about 35.8 inches long.

Use this reverse calculation to choose between tank footprints when the height is fixed by the stand.

Worked example: bow front 35 in long, 18 in full width, 15 in straight width, 20 in tall

shape = bow front, length = 35 in, width = 15 in, height = 20 in, fullWidth = 18 in

box volume = 10,500 in^3; sagitta h = 3 in; segment volume = 1,389 in^3

Total = 11,889 in^3 = 51.5 US gallons.

Bow fronts are usually 10 to 15 percent larger than their rectangular counterparts.

According to the NIST Guide for the Use of the SI, one US liquid gallon is exactly 231 in^3 and one cubic inch equals 0.016387064 L, giving the conversion constants 231 in^3 per US gallon and 3.785411784 L per US gallon used in every result on this page.

For larger rectangular and cylindrical water containers like stock tanks, our Tank Volume Calculator applies the same length-times-width-times-height logic plus a fill-height override.

Key Concepts Behind Fish Tank Volume

Four concepts explain why the same labelled tank can hold different amounts of water.

Geometry drives volume

A 36 in long rectangular tank and a 36 in long bow front tank look similar from above, but the bow front holds 10 to 15 percent more water because the curved front is a circular segment that adds volume beyond the rectangle.

Interior vs exterior dimensions

Glass thickness and silicone seams reduce the interior volume. A 75 gallon tank built with 1/2 in glass holds about 5 percent less than the same footprint built with 1/4 in glass.

Conversion constants

1 US gallon is exactly 231 in^3 and 1 liter is exactly 61.0237 in^3, so 1 US gallon equals 3.785411784 liters. The gallon-to-liter ratio is fixed by NIST.

Stocking density rule

The 1 cm of fish per 1 L of water rule is a long-standing hobby guideline for small community fish. A 50 L tank holds about 16 to 17 neon tetras because each fish is roughly 3 cm long and 50 / 3 = 16.66, which rounds down to 16.

Subtract 5 to 10 percent from the calculator result for substrate and equipment, especially for rimless tanks.

Custom rectangular and bow front builds need silicone at every glass joint, and our Sealant Calculator sizes the silicone bead length and cartridge count for the seams implied by the volume and footprint the calculator just measured.

How to Use the Aquarium Volume Calculator

Six steps to size any of the seven aquarium shapes and read the volume in four units at once.

  1. 1 Pick the tank shape: Use the Tank Shape dropdown to pick rectangular prism, cube, cylinder, half cylinder, quarter cylinder, bow front, or corner bow front.
  2. 2 Measure the inside dimensions: Measure length, width, and height on the inside of the glass in inches. For a bow front, also measure the full width at the widest point of the curved front. For a cylinder, measure the inside diameter and inside height.
  3. 3 Enter the matching fields: Enter each measurement into the form. The calculator ignores unused inputs.
  4. 4 Read the volume outputs: Volume in US gallons is the primary reading for North American stocking and equipment sizing. Volume in liters and cubic meters is the primary reading for metric equipment and aquarium-room load.
  5. 5 Read the fish stocking estimate: The fish count uses the 1 cm of fish per 1 L hobby rule with a 3 cm average fish length. Multiply by the average adult length of your species to refine.
  6. 6 Sanity-check against the label: Compare the calculator's gallon reading to the gallon rating on the tank. Most tanks hold 90 to 95 percent of the rating once substrate is subtracted.

Try a 48 in x 18 in x 21 in rectangular tank: the calculator returns 78.5 US gallons, 297.1 liters, 0.297 cubic meters, and a 99 fish stocking estimate. Subtract 5 percent for substrate and you get about 282 L of actual water, which lines up with the marketed 75 gallon rating on most 48 in x 18 in x 21 in tanks.

If the aquarium volume is being planned alongside a backyard water feature, our Pond Calculator applies the same length, width, and depth logic to a flexible liner and returns the pump flow and liner area needed to keep the feature healthy.

Benefits of Using an Aquarium Volume Calculator

Six practical benefits for fishkeepers, pet store staff, and anyone buying a used tank.

  • Seven shapes, one tool: Rectangular prism, cube, cylinder, half cylinder, quarter cylinder, bow front, and corner bow front are all handled.
  • Four output units at once: US gallons for stocking and equipment, liters for metric filters, cubic meters for room load, and a fish count.
  • Verifies manufacturer labels: A 75 gallon label is rarely exactly 75 US gallons of water.
  • Drives equipment sizing: Filter flow rate, heater wattage, CO2 dosing, and medication dosing all scale with volume.
  • Plans water change math: A 10 to 25 percent weekly water change is easy to compute once the volume is known.
  • Compares tank footprints: Try two footprints with the same target volume and the calculator tells you which one fits the stand.

Volume drives tank price, equipment price, substrate price, and livestock price, so the four-unit reading from this calculator feeds straight into our Hobby Cost Calculator to size the full project budget.

Factors That Affect Aquarium Volume Results

A few variables do most of the work in the calculator and a few extras matter in unusual builds.

Tank shape

Shape is the dominant variable. A 24 in diameter cylinder 30 in tall holds 58.8 US gallons, while a 24 in long rectangular prism 12 in wide and 21 in tall holds only 26.2 US gallons.

Interior vs exterior dimensions

Glass thickness reduces the interior footprint by twice the panel thickness on each side.

Bow front curvature

The fuller the bow, the larger the segment volume added to the rectangular box volume. A 35 in long bow with 1 in of sagitta adds 8 percent to the rectangular volume; the same tank with 5 in of sagitta adds 40 percent.

Glass thickness

Standard plate glass is 1/4 in, 3/8 in, 1/2 in, or 3/4 in. Thicker glass holds less water but supports more pressure.

Freeboard and substrate

Most tanks are filled to within 1 to 2 inches of the top rim, and a sand or gravel substrate takes 1 to 2 inches off the bottom. Subtract 5 to 10 percent from the calculator volume.

  • The seven supported shapes cover the vast majority of consumer and hobby aquariums but not custom polyhedra, hex tanks, or L-shaped builds.
  • The calculator uses interior dimensions, not exterior dimensions. Subtract twice the glass thickness from each exterior dimension if the tank is not yet built.
  • Substrate, equipment, plants, and decorations all reduce the fillable volume.
  • Salt water is slightly denser than fresh water but the volume is essentially the same; the calculator reports liters at 1 kg per L.

According to The Engineering Toolbox, fresh water at 20 C has a density of 998.2 kg/m^3, which is why 1 L of aquarium water weighs almost exactly 1 kg and the calculator's liter reading is a usable proxy for dosing and water-change mass.

According to NIST Guide for the Use of the SI, one US liquid gallon is exactly 3.785411784 liters, which is the conversion factor used in this calculator.

If the build scales up to a swim pond or a small plunge pool, our Pool Volume Calculator extends the same length, width, and depth approach to larger water containers.

Aquarium volume calculator interface with shape selector, length, width, height, full width, and diameter inputs and gallons, liters, cubic meters, and fish stocking outputs
Aquarium volume calculator interface with shape selector, length, width, height, full width, and diameter inputs and gallons, liters, cubic meters, and fish stocking outputs

Frequently Asked Questions

Q: How do I calculate the volume of an aquarium?

A: Pick the tank shape, enter the interior dimensions in inches, and read the volume in US gallons, liters, and cubic meters at once. The calculator uses the standard geometric formula for each shape and the NIST conversion constants 231 in^3 per US gallon and 3.785411784 L per US gallon.

Q: Does the shape of the aquarium impact its volume?

A: Yes. Every shape has its own formula. A 36 in long rectangular tank, a 36 in long bow front, and a 24 in diameter cylinder 30 in tall can hold very different volumes even when their longest dimension is similar, which is why the calculator offers seven shape choices and a shape-specific input form.

Q: How many gallons of water can a 3 m^3 aquarium hold?

A: A 3 m^3 aquarium holds 3,000 L, which equals 3,000 / 3.785411784 = 792.5 US gallons. The conversion uses the exact NIST ratio of 3.785411784 L per US gallon, so the result is reliable for equipment and dosing.

Q: How many fish can I put in a 50 liter aquarium?

A: Following the 1 cm of fish per 1 L hobby rule, a 50 L tank can hold about 16 to 17 small fish of 3 cm adult length. Divide the liter reading by the average adult length in centimeters and round down because half a fish is not a valid stocking decision.

Q: What is the difference between a bow front and corner bow front tank?

A: A bow front has one curved front panel and three flat sides, so its volume is the rectangular box volume plus the circular segment volume of the bow. A corner bow front is designed to sit in the corner of a room and has two curved panels meeting at 90 degrees, so it holds half the bow segment volume on top of the rectangular base.

Q: How big is a 75 gallon rectangular aquarium?

A: A standard 75 US gallon rectangular tank is 48 in long, 18 in wide, and 21 in tall, which the calculator confirms as 78.5 US gallons before subtracting substrate. If both height and width are 22 in instead, the same 75 US gallons requires about 35.8 in of length using the 231 in^3 per gallon conversion.