Aquarium-Volumenformeln

Diese Referenz enthält die Volumenformel für jede in der Praxis verwendete Aquariumform. Da Aquariumformen von einfachen Kästen über Zylinder bis hin zu Polygonen und zusammengesetzten Kurven reichen, gilt keine einzige Formel für alle Aquarien. Die Verwendung der falschen Formel kann zu Fehlern von 10–30 % führen. Aquariumvolumen messen.

Grundlegende Volumenformel

Alle Volumenberechnungen beginnen mit demselben Konzept: Multiplizieren Sie die Querschnittsfläche des Aquariums mit seiner Höhe.

V = L × W × H

  • L — Innenlänge (längste horizontale Abmessung)
  • B — Innenbreite (von vorne nach hinten)
  • H — Füllhöhe (Boden bis Wasserlinie)

Bei Messung in Zoll: Produkt durch 231 teilen für US-Gallonen. Bei Messung in Zentimetern: durch 1.000 teilen für Liter.

Aquarium-Volumen-Glossar

Standardbecken-Formeln

Standardbecken teilen die rechteckige Prismaform. Die Formeln sind identisch; nur die Proportionen unterscheiden sich.

Rectangular Aquarium

V = L × W × H

Rechner öffnen

Measure the inside dimensions of your rectangular tank from glass to glass, not including the frame or trim. For length, measure the longest horizontal edge; for width, measure front to back; for height, measure from the inner bottom to the desired water line.

Cube Aquarium

V = S³

Rechner öffnen

Measure any one inside edge of the cube from glass panel to glass panel. All three dimensions should be identical; if they differ slightly, use the rectangular calculator instead for a more accurate result.

Breeder Aquarium

V = L × W × H

Rechner öffnen

Measure inside dimensions just like a standard rectangular tank. Breeder tanks are distinguished by a width-to-height ratio greater than 1:1. If your tank is taller than it is wide, it is likely a standard rather than a breeder.

Shallow Aquarium

V = L × W × H

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Measure the interior length, width, and height from the inside glass surfaces. Shallow tanks typically have a height under 12 inches. Include only the water-filled portion when calculating volume; do not include any exposed land area in a paludarium.

Gebogene Becken-Formeln

Gebogene Becken erfordern Formeln aus der Kreisgeometrie. Die wichtigste Variable für alle Kreisformen ist der Radius (halber Innendurchmesser).

Bow Front Aquarium

V = (L × D × H) + (π × (L÷2) × B × H) ÷ 2

Rechner öffnen

Measure the straight back panel for the flat depth. For the bow depth, measure from the plane of the back glass to the furthest point of the curved front panel, then subtract the flat depth. The length is measured along the back panel from side to side.

Cylindrical Aquarium

V = π × r² × H

Rechner öffnen

Measure the inside diameter of the cylinder at the widest point and divide by two to get the radius. For acrylic cylinders, be sure to measure inside the wall, not outside. Height is measured from the interior bottom to the water line.

Half Cylinder Aquarium

V = (π × r² × H) ÷ 2

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Measure from the flat back wall of the tank to the outermost point of the curved front to get the radius. Alternatively, measure the full width of the flat back panel and divide by two. Height is measured inside from bottom to water line.

Elliptical Aquarium

V = π × a × b × H

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Measure the longest inside diameter and divide by two for the semi-major axis. Then measure the shortest inside diameter (perpendicular to the first) and divide by two for the semi-minor axis. Height is inside bottom to water line.

Bullnose Aquarium

V = ((L - r) × W × H) + (π × r² × H) ÷ 2

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Measure overall length from the flat end to the farthest point of the curved end. The bullnose radius is the distance from the center of the curve to the curved glass surface. Width is measured across the flat sides. Height is inside from bottom to water line.

Round End Aquarium

V = ((L - W) × W × H) + (π × (W÷2)² × H)

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Measure the total inside length from the outermost curve on one end to the other. Width is the inside distance between the two long flat sides, which also equals the diameter of each semicircular end cap. Height is inside bottom to water line.

Fish Bowl

V = (π × d³) ÷ 6

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Measure the widest inside diameter of the bowl from one inner wall to the opposite inner wall. For bowls with a flat bottom, measure at the widest horizontal cross-section, not at the base. Note that actual water volume will be less than the full sphere because bowls have an open top.

Eckbecken-Formeln

Eckaquarien sind für 90-Grad-Raumecken konzipiert. Das Eckprisma hat genau das halbe Volumen eines Rechtecks mit denselben wandseitigen Abmessungen.

Corner Bow Front Aquarium

V = (L × D × H) + (π × (L÷2) × B × H) ÷ 2

Rechner öffnen

Place a straight edge across the back corner to define the flat depth plane. Measure the bow depth from that plane to the outermost point of the curve. Length is measured along the straight back edge where the two wall-facing panels meet.

Corner Cylinder Aquarium

V = (π × r² × H) ÷ 4

Rechner öffnen

Measure along either flat back panel from the corner to the edge where the curve begins; this distance is the radius. Both flat panels should be equal in length. Height is measured inside from the bottom to the water surface.

Corner Aquarium

V = ½ × a × b × H

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Measure the inside length of each back panel that rests against the wall. These are the two legs of the right triangle. They do not need to be equal. Height is measured inside from the bottom to the waterline. The diagonal front panel length is not needed for the volume calculation.

Polygon-Becken-Formeln

Polygon-Aquarien — sechseckig, achteckig und fünfeckig — verwenden reguläre Polygon-Flächenformeln. Da alle Seiten gleich sind, reicht eine einzige Seitenlängenmessung.

Hexagonal Aquarium

V = (3√3 ÷ 2) × s² × H

Rechner öffnen

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.

Octagon Aquarium

V = 2(1 + √2) × s² × H

Rechner öffnen

Measure the inside length of any one of the eight identical panels. For accuracy, confirm that all eight sides are equal. If your tank has alternating long and short sides, it is not a regular octagon and this formula will not apply exactly.

Pentagon Aquarium

V = (√(25 + 10√5) ÷ 4) × s² × H

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Measure the inside length of one of the five equal panels. Verify that all five sides are the same length. The pentagon formula assumes a regular pentagon; irregular five-sided tanks would need to be decomposed into simpler shapes for calculation.

Sonderbecken-Formeln

Sonderformen wie L-förmige und Trapez-Aquarien erfordern die Zerlegung des Grundrisses in einfachere geometrische Abschnitte.

L-Shaped Aquarium

V = (L1 × W1 × H) + (L2 × W2 × H)

Rechner öffnen

Divide the L-shape into two non-overlapping rectangles. Measure the inside length and width of each rectangle separately. Both sections must share the same height. Be careful not to double-count the overlapping corner area where the two sections meet.

Trapezoid Aquarium

V = ½(b1 + b2) × D × H

Rechner öffnen

Measure the inside length of the front panel (base 1) and the inside length of the back panel (base 2). Depth is the perpendicular distance between these two parallel panels measured inside. Height is inside from the bottom to the water line.

Formelvergleichstabelle

Schnellreferenz für alle Formen mit Formelschema und benötigten Messungen. Aquariumvolumen nach Größe

Form Formelschema Benötigte Eingaben
Rectangular / Breeder / Shallow / Cube L × W × H Length, Width, Height
Cylinder π × r² × H Radius, Height
Half Cylinder (π × r² × H) ÷ 2 Radius, Height
Corner Cylinder (π × r² × H) ÷ 4 Radius, Height
Elliptical π × a × b × H Semi-major axis, Semi-minor axis, Height
Bow Front (L × D × H) + (π × (L÷2) × B × H) ÷ 2 Length, Flat Depth, Bow Depth, Height
Bullnose ((L − r) × W × H) + (π × r² × H) ÷ 2 Length, Width, Radius, Height
Round End ((L − W) × W × H) + (π × (W÷2)² × H) Length, Width, Height
Fish Bowl (4÷3) × π × r³ Radius
Hexagon (3√3 ÷ 2) × s² × H Side length, Height
Octagon 2(1 + √2) × s² × H Side length, Height
Pentagon (√(25 + 10√5) ÷ 4) × s² × H Side length, Height
Corner Prism ½ × a × b × H Leg 1, Leg 2, Height
L-Shaped (L1 × W1 × H) + (L2 × W2 × H) Section 1 L&W, Section 2 L&W, Height
Trapezoid ½(b1 + b2) × D × H Front base, Back base, Depth, Height

Einheitenumrechnung

Jede obige Formel erzeugt kubische Einheiten. Konvertieren Sie mit diesen Divisoren in praktische Volumeneinheiten:

Kubikzoll → US-Gallonen

Gallons = in³ ÷ 231

Die US-Gallone ist gesetzlich als genau 231 Kubikzoll definiert.

Kubikzentimeter → Liter

Liters = cm³ ÷ 1,000

Ein Liter entspricht genau 1.000 Kubikzentimetern.

Gallonen in Liter umrechnen: US-Gallonen mit 3,785 multiplizieren. Liter in Gallonen: durch 3,785 teilen.

Aquarium-Volumen-Einheitenumrechner · Aquariumvolumen in Litern · Aquarium-Volumenrechner

Formel-Fragen

What is the formula for aquarium volume in gallons?
Multiply the inside length, width, and height in inches to get cubic inches, then divide by 231 to convert to US gallons. The formula is: Gallons = (L x W x H) / 231. This works for any rectangular or cube-shaped tank.
What is the formula for aquarium volume in liters?
Multiply the inside length, width, and height in centimeters to get cubic centimeters, then divide by 1,000 to convert to liters. The formula is: Liters = (L x W x H) / 1,000.
Why do we divide cubic inches by 231 to get gallons?
The US gallon is legally defined as exactly 231 cubic inches. This definition dates back to the British wine gallon adopted in 1707. It corresponds to a cylinder 7 inches in diameter and 6 inches tall, which equals approximately 3.785 liters.
How do I calculate the volume of a cylinder-shaped aquarium?
Use the formula V = pi x r-squared x h, where r is the inside radius (half the diameter) and h is the inside height. Divide the result by 231 for gallons (if measured in inches) or by 1,000 for liters (if measured in centimeters).
What is the formula for a hexagonal aquarium volume?
The cross-sectional area of a regular hexagon is (3 times the square root of 3 divided by 2) times the side length squared. Multiply that area by the height to get volume in cubic units. Then convert to gallons or liters using the standard divisors.
How do I calculate bow front aquarium volume?
Split the tank into a rectangular section and a half-ellipse bow section. Calculate V_rect = L x D x H for the flat portion, then V_bow = pi x (L/2) x bowDepth x H / 2 for the curved portion. Add both results for total volume.
What formula converts gallons to liters?
Multiply US gallons by 3.785411784 to get liters. For example, 55 gallons times 3.785411784 equals 208.2 liters. This conversion factor is based on the exact definition of the US gallon and the liter.
How is the volume of a trapezoid aquarium calculated?
The cross-section area is one-half times the sum of the two parallel bases times the perpendicular depth between them: A = 0.5 x (base1 + base2) x depth. Multiply this area by the tank height to get the total volume in cubic units.

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