水槽容量の計算式
このリファレンスには、一般的な水槽形状ごとの容量計算式が含まれています。 水槽容量の測定方法.
基本的な容量計算式
すべての容量計算は同じ概念から始まります:水槽の断面積に充填高さを掛けてください。
V = L × W × H
インチで測定する場合:積を231で割ると米ガロンが得られます。センチメートルで測定する場合:1,000で割るとリットルが得られます。
標準水槽の計算式
標準水槽は直方体の形状を共有しています。計算式は同一で、比率のみが異なります。
Rectangular Aquarium
V = L × W × H
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
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
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
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.
曲線型水槽の計算式
曲線型水槽には円の幾何学からの計算式が必要です。すべての円形形状における主要な変数は半径です。
Bow Front Aquarium
V = (L × D × H) + (π × (L÷2) × B × H) ÷ 2
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
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
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
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
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)
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
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.
コーナー水槽の計算式
コーナー水槽は90度の部屋の隅用に設計されています。コーナープリズムは同等の長方形の正確に半分の容量を持ちます。
Corner Bow Front Aquarium
V = (L × D × H) + (π × (L÷2) × B × H) ÷ 2
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
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
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.
多角形水槽の計算式
多角形水槽(六角形、八角形、五角形)は正多角形の面積計算式を使用します。
Hexagonal Aquarium
V = (3√3 ÷ 2) × s² × H
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
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
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.
特殊水槽の計算式
L字型や台形などの特殊な形状は、底面をより単純な幾何学的断面に分解する必要があります。
L-Shaped Aquarium
V = (L1 × W1 × H) + (L2 × W2 × H)
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
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.
計算式比較表
すべての形状の計算式スキームと必要な測定値を含むクイックリファレンス。 サイズ別水槽容量
| 形状 | 計算式スキーム | 必要な入力値 |
|---|---|---|
| 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 |
単位変換
上記の各計算式は立方単位を生成します。これらの除数を使用して実用的な容量単位に変換してください:
立方インチ → 米ガロン
Gallons = in³ ÷ 231
米ガロンは法律上、正確に231立方インチと定義されています。
立方センチメートル → リットル
Liters = cm³ ÷ 1,000
1リットルは正確に1,000立方センチメートルに等しいです。