Fórmulas de volume de aquário

Esta referência contém a fórmula de volume para cada forma comum de aquário. Medir o volume do aquário.

Fórmula básica de volume

Todos os cálculos de volume começam com o mesmo conceito: multiplique a área da seção transversal do aquário pela sua altura de preenchimento.

V = L × W × H

Se medir em polegadas: divida o produto por 231 para obter galões US. Se medir em centímetros: divida por 1.000 para obter litros.

Glossário de volume de aquário

Fórmulas para aquários padrão

Os aquários padrão compartilham a forma de prisma retangular. As fórmulas são idênticas; apenas as proporções variam.

Rectangular Aquarium

V = L × W × H

Abrir calculadora

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

Abrir calculadora

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

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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.

Fórmulas para aquários curvos

Os aquários curvos requerem fórmulas da geometria circular. A variável chave para todas as formas circulares é o raio.

Bow Front Aquarium

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

Abrir calculadora

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

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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

Abrir calculadora

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)

Abrir calculadora

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.

Fórmulas para aquários de canto

Os aquários de canto são projetados para cantos de quarto de 90 graus. O prisma de canto tem exatamente metade do volume de um retângulo equivalente.

Corner Bow Front Aquarium

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

Abrir calculadora

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

Abrir calculadora

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

Abrir calculadora

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.

Fórmulas para aquários poligonais

Os aquários poligonais — hexagonais, octogonais e pentagonais — usam fórmulas de área de polígono regular.

Hexagonal Aquarium

V = (3√3 ÷ 2) × s² × H

Abrir calculadora

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

Abrir calculadora

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

Abrir calculadora

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.

Fórmulas para aquários especiais

Formas especiais como aquários em L e trapézio requerem decompor a base em seções geométricas mais simples.

L-Shaped Aquarium

V = (L1 × W1 × H) + (L2 × W2 × H)

Abrir calculadora

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

Abrir calculadora

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.

Tabela comparativa de fórmulas

Referência rápida para todas as formas com esquema de fórmula e medições necessárias. Volume de aquário por tamanho

Forma Esquema de fórmula Entradas necessárias
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

Conversão de unidades

Cada fórmula acima produz unidades cúbicas. Converta para unidades de volume práticas com estes divisores:

Polegadas cúbicas → Galões US

Gallons = in³ ÷ 231

O galão US é definido legalmente como exatamente 231 polegadas cúbicas.

Centímetros cúbicos → Litros

Liters = cm³ ÷ 1,000

Um litro equivale exatamente a 1.000 centímetros cúbicos.

Converter galões em litros: multiplique os galões US por 3,785. Litros em galões: divida por 3,785.

Conversor de unidades de volume de aquário · Volume de aquário em litros · Calculadora de volume de aquário

Perguntas sobre fórmulas

Qual é a fórmula do volume do aquário em litros?
Multiplique comprimento × largura × altura internos em centímetros e depois divida por 1.000. Por exemplo, um tanque de 60 × 30 × 30 cm resulta em 60 × 30 × 30 = 54.000 cm³ ÷ 1.000 = 54 litros.
Qual é a fórmula do volume do aquário em galões americanos?
Multiplique comprimento × largura × altura internos em polegadas e depois divida por 231. O galão americano é legalmente definido como exatamente 231 polegadas cúbicas.
Como calculo o volume de um aquário cilíndrico?
Use V = π × r² × H, onde r é o raio interno e H é a altura de enchimento. Divida por 1.000 para litros (cm) ou por 231 para galões (polegadas).
Qual fórmula converte litros em galões americanos?
Multiplique os litros por 0,2642 para obter galões americanos. Para a conversão inversa, multiplique os galões americanos por 3,785.

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