Flat-Back Hexagon Fish Tank Volume Calculator - Calculate volume in litres, gallons, cubic feet, bbl, cubic meters

Tank Volume (m³):

Tank Volume (U.S. Gallons):

Tank Volume (Imp. Gallons):

Tank Volume (Liters):

Tank Volume (Cubic Feet):

Tank Volume (bbl):

Flat-Back Hexagon Fish Tank Volume Formula

Volume Calculation

The volume of a flat-back hexagon fish tank is calculated by breaking the tank into two distinct sections: the main rectangular section and the angled end section. The total volume is the sum of both sections, which can be calculated using the following formula:

\[ \text{Volume} = \text{Length} \times \text{End Pane} \times \text{Height} + \frac{1}{2} \times (\text{Width} - \text{End Pane}) \times (\text{Length} + \text{Front Pane}) \times \text{Height} \]

Where:

Length = Tank length
Width = Tank width
Front Pane = Length of the front pane (the side facing the viewer)
End Pane = Length of the end pane (the side at the back of the tank)
Height = Tank height

Example Calculation

For a flat-back hexagon tank with the following dimensions:

Length = 120 cm
Width = 60 cm
Front Pane = 50 cm
End Pane = 40 cm
Height = 70 cm

1. Plugging the values into the formula:

\[ \text{Volume} = 120 \times 40 \times 70 + \frac{1}{2} \times (60 - 40) \times (120 + 50) \times 70 \]

\[ \text{Volume} = 336000 + 49000 = 385000 \, \text{cm}^3 \]

What is the volume in liters?
To convert cubic centimeters (cm³) to liters, divide by 1000. So, the volume of the tank in liters is \( \frac{385000}{1000} = 385 \, \text{liters} \).

Can I calculate the volume for a tank of different shapes?
Yes, the volume calculation can be adapted for tanks of different shapes by using appropriate formulas based on the geometry of the tank. For example, a cylindrical or rectangular tank would require different methods.