# Aquarium Calculator

By Hanna Pamuła, PhD candidate
Last updated: Aug 23, 2021

Determining fish tank volume has never been easier - with this aquarium calculator you can do it in a blink of an eye. Find water volume 💧 which will fill up your container: choose between 7 typical aquarium shapes - from a simple box, through cylindrical variations, to bow front tanks. If you're wondering what're the formulas to calculate the aquarium size or you're not sure how to use this tool, just scroll down and you'll find the answer below.

If you're looking for the amount of water that goes into a swimming pool, check out our pool calculator. We also have a pond calculator if you're interested in backyard ponds.

## Aquarium shapes

In our aquarium calculator, we implemented seven popular fish tank shapes:

NameAquarium shape
Rectangular prism Cube Bow front aquarium Corner bow front aquarium Cylinder Half cylinder Quarter cylinder ## Formulas behind the fish tank calculator

If you want to calculate the aquarium size manually, you can use the formulas for volume depending on tank shape:

• Rectangular prism

To find the volume of a standard aquarium, calculate the volume of a rectangular prism (called also the volume of a box):

`rectangular = height * width * length`

• Cube

Cube-shaped aquarium has the easiest volume equation - simply raise the edge length to the third power:

`cube = length³`

• Cylinder and its fractions

If you want to calculate the water volume of a cylindrical aquarium, use the formula for cylinder volume:

`cylinder = π * (diameter / 2)² * height`

Your fish tank is a half-cylinder? No problem, just divide the formula above by 2:

`half_cylinder = π * (diameter / 2)² * height / 2`

To determine the volume of the quarter of the cylinder, take a fourth part of the full volume:

`quarter_cylinder = π * radius² * height / 4`

It's handier to use radius instead of diameter in this last case: `diameter = 2 * radius`.

• Bow front and bow front corner aquarium

Calculating the volume of the bowfront aquarium is a bit trickier. You need to have given four dimensions: Height, width, length and a full width of the aquarium, and then you can derive the final formula:

`bowfront = height * width * length + 0.5 * r² * (α - sin(α)) * height`

where `α` is a central angle of the circular segment, in radians and `r` is a radius of a circle. α may be calculated as `α = 2π - 4β`, where β is an angle expressed as `tan(β) = 0.5 * length / (full_width - width)`.

For the aquarium with bow front intended to stand in the corner, the formula is:

`corner_bowfront = (0.5 * r² * (α - sin(α)) * height) / 2`

Aquarium in custom or bizarre shape? Check out our other tools such as triangular prism volume or spherical cap calculator which can find water volume for spherical aquariums, also called fish bowls. Just remember that such tanks are not appropriate for keeping fish and in some countries they're even forbidden! Spherical aquariums are usually small tanks, fish have to swim in circles, what is unnatural for them, and it's hard to put a filter into such tank. Consider a different aquarium shape despite the fancy look of such a tank.

## How to use this tool as an aquarium gallon calculator

If you want to calculate how many gallons of water your tank contains, follow these simple steps:

1. Choose the shape of your aquarium. Assume that you have a bow front fish tank, so select this option from a drop-down list.

2. Enter the tank dimensions. In our case, we need to type four values. Let's say that the length is 35 in, full width - 18 in, width - 15 in and height 20 in.

3. The aquarium calculator finds the volume of your tank. In our case, it's 51.55 gallons.

4. If you're wondering how much is that in liters, click on the unit name and select the one you're interested - e.g., our aquarium volume in liters is 195.14.

Remember that those calculations may serve as estimations and the result obtained doesn't mean that precisely 51.55 gallons will fit into your tank. We don't take into account e.g. the thickness of the glass or the volume of other objects, such as sand, gravel, filter, plants and... fish. Also, you don't fill up your container completely, do you?

## Have a look at another example: how big is a 75-gallon aquarium?

You heard that your friend has just bought a 75-gallon aquarium. Well, it's hard to imagine, how big is that? Let's check it with this aquarium calculator!

1. Choose the fish tank shape. We know that our friend is rather a traditionalist, so his obvious choice is a standard rectangular prism tank.

2. Type the volume - in our case, put 75 gallons into the volume box.

As the given volume may be a result of an infinite combination of the rectangular prism dimensions, we need to put more information into:

1. Enter two tanks dimensions. Usual height of the aquarium is something between 18-26 in, let's say it's 22 in. Additionally, assume the width is the same as height.

2. We found out that this 75-gallon aquarium has ~35.8 in length, so the dimensions are 35.8 x 22 in x 22 in. Quite big, huh? Experiment with different dimensions and shapes to get a better understanding of the concept of volume.

Hanna Pamuła, PhD candidate
Tank shape
rectangular prism
Dimensions
Length
in
Width
in
Height
in
Volume
Volume
US gal People also viewed…

### Black Hole Collision Calculator

The Black Hole Collision Calculator lets you see the effects of a black hole collision, as well as revealing some of the mysteries of black holes, come on in and enjoy!

### Days until Christmas

Chubby Santa here, there, and everywhere, blinking tree lights, "Jingle bells" and "Last Christmas" in the radio... that's definitely a sign that Christmas is coming!

### Discount

Discount calculator uses a product's original price and discount percentage to find the final price and the amount you save.

### PPI

PPI or Pixels Per Inch is one of the most common measurements of pixel density. Use the PPI calculator to calculate the dpi of any screen. 