Pool Volume

円形プールの容積をガロンとリットルで素早く計算します。

ヒント: 正確な結果を得るには、水面のラインで測定してください。

円形プールの寸法

ft
ft
ft
ft
Bounding Area (L×W): — ft²
Average Depth: — ft
Effective Area: — ft²
Lagoon pools have an organic freeform shape with multiple curves and bays. Measure the longest and widest straight-line distances (tip to tip). Use average of shallow and deep end depths.

Shape Compactness

sq ft
Formula: SA × AvgDepth × 7.48052 = Gallons
Using your actual surface area bypasses the bounding-box approximation and gives a direct, precise result. This is the most accurate method if you have builder plans or a surveyed area measurement.
プールボリュームについて

Lagoon pools have an organic freeform shape with no standard geometric formula. This calculator uses the industry-standard bounding-box method, which estimates that the pool fills approximately 78.5% of its bounding rectangle.

Typical accuracy: ±10–20% depending on how tightly curved your pool is.

For a more precise estimate, open "Improve Accuracy" to adjust the shape factor or enter your pool's known surface area.

How to Use This Lagoon Pool Volume Calculator

Lagoon pool how to use diagram L × W 外接長方形 最長部 (L) 端から端まで W 最大 W D₁ / D₂ 浅い / 深い フリーフォーム ラグーン形状

Select Imperial (feet) or Metric (metres) using the toggle at the top of the calculator. Imperial mode shows gallons as the primary result. Metric mode shows litres first.

  1. LONGEST LENGTH (L) — the straight-line distance from one tip of the lagoon pool to the other. Measure tip to tip, not along the curved perimeter.
  2. WIDEST WIDTH (W) — the widest perpendicular span across the lagoon pool at its broadest point. Do not follow the curved edge.
  3. SHALLOW END DEPTH (D₁) — the distance from the waterline down to the pool floor at the shallowest point. Measure straight down, not along a sloped wall.
  4. DEEP END DEPTH (D₂) — the distance from the waterline to the deepest point. For a flat-bottom lagoon pool, enter the same value as D₁.

Results appear instantly showing gallons, litres, and cubic feet simultaneously. Use the result to dose chemicals, estimate fill time, or size pool equipment.

Lagoon pool dimensions on a builder's plan typically measure the water surface at the coping edge — the actual filled volume is slightly less because sloped walls and curved transitions displace water below the surface line.

What Is Lagoon Pool Volume?

Roman pool volume is the total amount of water the pool holds when filled to the waterline. It is expressed in US gallons, litres, or cubic feet — the same units you see on chemical labels, heater manuals, and pump spec sheets.

Unlike kidney or lagoon pools that rely on approximation factors, a Roman pool is a rectangle with one or two semicircular ends — a shape that breaks down into exact geometric components. That means the surface area calculation is mathematically precise, and the only real source of error is depth measurement.

Knowing your Roman pool's volume matters every time you add chlorine, estimate how long a garden hose takes to fill the pool, or check whether your heater is sized correctly. A 40 × 20 ft double Roman pool at 5 ft average depth holds 26,711 gallons (101,114 litres) — but dropping the depth by just one foot cuts that by roughly 5,300 gallons.

Why Lagoon Pools Use the Bounding-Box Method

A lagoon pool has organic curves, multiple bays, and peninsulas that make it impossible to describe with a single standard geometric formula. Unlike a kidney pool with two predictable lobes, every lagoon pool's outline is different.

The bounding-box method works by drawing an imaginary rectangle around the pool — the longest length × widest width. That rectangle defines the maximum area the pool could occupy. The lagoon pool fills only part of that rectangle, so a shape factor (π/4 ≈ 0.7854 by default) is applied to estimate the actual water surface area.

This approach is practical, not perfect. It gives a usable estimate without requiring a professional survey. For tighter accuracy, the calculator offers compactness refinement (Tier 2) and a known-surface-area input (Tier 3) that bypasses the bounding box entirely.

What Does the Shape Factor Mean?

The default shape factor π/4 (≈ 0.7854) represents the proportion of the bounding rectangle that the lagoon pool's water surface actually occupies. Geometrically, a perfect ellipse inscribed inside a rectangle fills exactly π/4 of that rectangle — and most lagoon pools approximate this ratio.

Not all lagoon pools are the same shape. A compact lagoon pool with gentle curves fills more of its bounding rectangle — closer to 85%. A lagoon pool with deep coves, narrow peninsulas, and aggressive cutouts fills less — sometimes only 55%. That is why the calculator offers four compactness choices in the Improve Accuracy panel:

  • Very Compact (0.85) — near-oval shape, few curves. The pool fills about 85% of the bounding box.
  • Typical Lagoon (0.75) — moderate bays and curves. Fills about 75% of the bounding box.
  • Complex Lagoon (0.65) — many coves and peninsulas. Fills about 65%.
  • Very Irregular (0.55) — extreme cutouts and inlets. Fills about 55%.

The more bays and cut-ins your lagoon pool has, the lower the shape factor should be. Choosing the wrong compactness tier shifts the volume estimate by thousands of gallons — a 16×32 ft lagoon pool at 5 ft depth ranges from 12,980 gallons (0.55) to 16,894 gallons (0.85) depending on the factor selected.

How to Calculate Lagoon Pool Volume

Lagoon pool formula diagram 外接長方形: L × W 隙間 隙間 隙間 隙間 有効面積 ≈ L × W × π/4 容積 = 有効面積 × 平均の深さ ガロン = 容積 (ft³) × 7.48052

A lagoon pool's organic curves, multiple bays, and irregular edges set it apart from geometric pool shapes. Unlike a kidney pool with two defined lobes or a freeform pool with a predictable outline, a lagoon pool has no fixed geometric formula. This calculator uses a bounding-box method — measuring the longest length and widest width to define a rectangle, then applying a shape factor to estimate how much of that rectangle the lagoon pool actually fills.

The Lagoon Pool Volume Formula

容積 (ft³) = L × W × π/4 × 平均の深さ
平均の深さ = (浅い端 + 深い端) ÷ 2

立方フィート → USガロン: × 7.48052

立方フィート → リットル: × 28.3168

L = longest straight-line distance across the lagoon pool, tip to tip. W = widest perpendicular span. π/4 (≈ 0.7854) is the shape factor — it represents the ratio of an irregular curved shape to its bounding rectangle. Geometrically, a perfect ellipse inscribed inside a rectangle fills exactly π/4 of that rectangle, and most lagoon pools approximate this proportion. All dimensions must use the same unit — all feet or all metres — before multiplying.

Three Tiers of Accuracy

This lagoon pool volume calculator improves accuracy as you provide more information. Tier 1 (Quick Estimate) applies the default π/4 (≈ 0.7854) shape factor and produces results within ±10–20%. Tier 2 (Refined) lets you select a compactness level — from Very Compact (0.85) for near-oval lagoon pools down to Very Irregular (0.55) for lagoon pools with extreme cutouts — narrowing accuracy to ±10–15%. Tier 3 (Known Surface Area) accepts the exact surface area from your builder's plans and bypasses the bounding-box approximation entirely for ±2–5% accuracy.

Step-by-Step Worked Example

Pool: 16 × 32 ft lagoon pool, Shallow End = 3.5 ft, Deep End = 6.5 ft.

Tier 1 — Quick Estimate (π/4 ≈ 0.7854)

  1. 平均の深さ= (3.5 + 6.5) ÷ 2= 5.0 フィート
  2. 外接面積= L × W = 16 × 32= 512 平方フィート
  3. 有効面積= 512 × π/4 = 512 × 0.7854= 402.12 平方フィート
  4. 容積= 402.12 × 5.0= 2,010.62 立方フィート
  5. USガロン= 2,010.62 × 7.48052= 15,040 ガロン
  6. リットル= 2,010.62 × 28.3168= 56,934 リットル

Tier 2 — Refined with "Typical Lagoon" (0.75)

  1. 形状係数= 0.75 (一般的なラグーン)π/4 の代わりに使用
  2. 有効面積= 512 × 0.75= 384.00 平方フィート
  3. 容積= 384.00 × 5.0= 1,920.00 立方フィート
  4. USガロン= 1,920.00 × 7.48052= 14,363 ガロン
  5. リットル= 1,920.00 × 28.3168= 54,368 リットル

The Tier 2 estimate for this 16×32 ft lagoon pool is 677 gallons (2,566 litres) lower than Tier 1 — a 4.5% reduction that reflects how multi-bay lagoon pools leave more unused space within their bounding rectangle. For chemical dosing tables matched to your exact volume, see {chemicalLink}pool volume chemical dosing.

Measuring Lagoon Pool Dimensions

Lagoon pool measurement diagram 1 最長部 — 直線 ✓ 曲線に沿ったもの ✗ 2 W D₁ / D₂ waterline → floor D₁ 浅い D₂ 深い

Measuring Lagoon Pool Dimensions

Longest Length (L) is the straight-line distance from one end of the lagoon pool to the other — tip to tip. Do not follow the curved perimeter. Stand at one end and sight-line the furthest opposite point, then stretch the tape in a straight line across the water surface. On a large lagoon pool, a second person holding the far end of the tape speeds up this step.

Widest Width (W) is the widest perpendicular span across the lagoon pool at its broadest section. Measure at right angles to the length line. The most common lagoon pool error is measuring diagonally across a bay — this inflates the width reading and over-estimates volume by 10–20%. Keep the tape perpendicular to the length line.

Calculating Average Depth

Average Depth = (Shallow End + Deep End) ÷ 2. Example: (3.5 + 6.5) ÷ 2 = 5.0 ft. Measure depth from the waterline straight down to the lagoon pool floor — not along a sloped wall or a curved bay bottom.

Most lagoon pools have a gradual slope from a shallow beach entry to a deeper section. The two-point average approximates total water volume within ±3% for gradual slopes. For lagoon pools with a flat shelf that drops sharply into a deep section, measure at 3 evenly spaced points along the length and average all 3 for a tighter result.

Lagoon Pool Volume by Size — Reference Table

The table below shows lagoon pool volume at 8 standard bounding-box sizes. All rows use 5.0 ft average depth (shallow 3.5 ft + deep 6.5 ft) and the Tier 1 shape factor (π/4 ≈ 0.7854). Your lagoon pool's actual volume depends on how tightly its curves fill the bounding rectangle.

ラグーンプール容積表

プールサイズ (L × W) 平均の深さ USガロン リットル
15 × 25 フィート5.0 フィート11,01641,700
16 × 32 フィート5.0 フィート15,04056,934
18 × 35 フィート5.0 フィート18,50770,056
20 × 38 フィート5.0 フィート22,32684,512
22 × 40 フィート5.0 フィート25,85197,856
25 × 45 フィート5.0 フィート33,048125,100
28 × 48 フィート5.0 フィート39,481149,453
30 × 50 フィート5.0 フィート44,064166,800

L × W × π/4 × 平均の深さ で計算(π/4 ≈ 0.7854)。1 立方フィート = 7.48052 USガロン = 28.3168 リットル。平均の深さ = 5.0 フィート (浅い 3.5 フィート + 深い 6.5 フィート) ÷ 2。正確を期すために、ご自身のラグーンプールを測定してください。

Residential lagoon pools typically range from 15×25 ft (11,016 gallons / 41,700 litres) up to 30×50 ft (44,064 gallons / 166,800 litres). The volume difference across this range is roughly 4× — so accurate measurement matters for chemical dosing, heating costs, and pump sizing. For volume benchmarks across all pool shapes, see average pool volume.

Two lagoon pools with the same bounding-box dimensions can hold very different water volumes. A compact near-oval lagoon fills more of its bounding rectangle than a lagoon with deep coves and narrow peninsulas. Dropping average depth by just one foot cuts total volume by about 20% regardless of shape — on a 16×32 ft lagoon pool, that is roughly 3,000 gallons (11,350 litres). Size labels like "medium" or "large" ignore both compactness and depth, so always measure your lagoon pool and enter exact dimensions in the calculator above.

Pool Volume in Litres (Metric)

This Roman pool volume calculator returns litres alongside gallons automatically. The conversion uses the precise factor 1 cu ft = 28.3168 litres.

If you need litres for an Australian, UK, or European context, switch the toggle to <strong>Metric</strong> and enter Roman pool dimensions in metres. The calculator multiplies m³ by 1,000 for litres and by 264.172 for US gallons. A 12 × 6 m double Roman pool at 1.5 m average depth holds approximately 75,398 litres (19,919 gallons). For the underlying conversion formulas, see <a href=\"/pool-volume-formula/\">pool volume formulas</a>.

If you need litres for an Australian, UK, or European context, switch the unit toggle to Metric and enter your lagoon pool dimensions in metres. The calculator multiplies m³ by 1,000 for litres and by 264.172 for US gallons. A 5 × 10 m lagoon pool at 1.5 m average depth holds approximately 58,905 litres (15,561 gallons). For a full guide to litre-based pool volume conversions, see pool volume calculator in litres. For the underlying conversion formulas, see pool volume formulas.

Understanding the 3 Accuracy Tiers

Tier 1 — Quick Estimate. Enter the longest length, widest width, and two depths. The calculator applies the default π/4 (≈ 0.7854) shape factor and returns a volume within ±10–20%. This is enough for a rough chemical dose or fill-time check.

Tier 2 — Compactness Refinement. Open the Improve Accuracy panel and select the compactness level that best matches your lagoon pool — from Very Compact (0.85) for near-oval shapes to Very Irregular (0.55) for pools with extreme cutouts. This narrows accuracy to ±10–15% and takes 10 seconds.

ティア 3 — 既知の表面積。 「既知の表面積」パネルを開き、建設図面、測量レポート、または衛星測定ツールからの正確な面積を入力します。計算機はその面積に平均水深を掛け合わせ、外接長方形による推定を完全にバイパスして ±2〜5% の精度を実現します。

Each tier replaces the previous result. Use Tier 1 for a quick check, Tier 2 when you know your pool's general shape, and Tier 3 when you have verified area data.

既知の表面積を使用すべきなのはいつですか?

The Known Surface Area panel is the most accurate option on this lagoon pool volume calculator. Use it when you have a verified surface area number from one of these sources:

  • Builder's plans — the pool plan usually lists water surface area in square feet or square metres.
  • Surveyor's report — a professional pool survey measures the actual water surface with laser or GPS tools.
  • Satellite measuring tool — tools like Google Earth's polygon area tool can approximate surface area from aerial imagery.

When you enter a known surface area, the calculator multiplies it directly by average depth — no bounding-box estimate or shape factor is needed. This is why Tier 3 achieves ±2–5% accuracy instead of ±10–20%.

Average depth still matters even with a known surface area. The same 700 sq ft lagoon pool holds 26,182 gallons at 5 ft depth but only 20,945 gallons at 4 ft — a difference of over 5,000 gallons from a single foot of depth change.

なぜ正確なラグーンプール容積が重要なのか

Chemical dosing. Chlorine, pH adjusters, and algaecides are dosed per gallon or per litre. Overestimate volume and you under-dose — risking algae. Underestimate volume and you over-dose — wasting chemicals and irritating skin. See プール容積と薬剤投与 for dose tables matched to your exact volume.

Fill and drain planning. A standard garden hose delivers about 500 gallons per hour. A 15,040-gallon lagoon pool takes roughly 30 hours to fill — knowing the volume lets you plan around water utility schedules and avoid overflow.

Heater sizing. Pool heaters are rated by BTU output per gallon. A heater sized for a 12,000-gallon pool will struggle to warm a 15,000-gallon lagoon pool, adding hours to heat-up time and increasing energy costs.

Pump and turnover rate. Pumps are sized to turn over the full pool volume in 8–12 hours. An inaccurate volume estimate means the pump runs too short (poor filtration) or too long (wasted electricity). Accurate lagoon pool volume keeps turnover on target. For calculators covering other pool shapes, visit {poolLink}プール容積。

ラグーンプールの容積推定でよくある間違い

These six mistakes cause the largest errors in lagoon pool volume estimates:

  1. Measuring along the curved edge. The longest length must be a straight line from tip to tip — not the distance along the pool's curved perimeter. Following the curve inflates the length by 10–25% and over-estimates volume by the same margin.
  2. Measuring diagonal width. Width must be perpendicular to the length line at the pool's widest point. Measuring diagonally across a bay produces a larger number and over-estimates volume by 10–20%.
  3. Guessing average depth. Many homeowners estimate depth from memory instead of measuring from the waterline straight down to the floor. A 6-inch depth error on a 16×32 ft lagoon pool shifts volume by about 1,500 gallons (5,680 litres).
  4. Choosing the wrong compactness factor. Selecting \"Very Compact (0.85)\" for a lagoon pool with deep coves overestimates volume. Look at your pool from above — if you see significant empty corners and inlets, move down to 0.65 or 0.55.
  5. Ignoring bays and cut-ins. Lagoon pools with narrow peninsulas or island features have less actual water area than the bounding rectangle suggests. The default π/4 factor does not account for extreme indentations — use Tier 2 or Tier 3 instead.
  6. Mixing feet and metres. Entering length in feet and depth in metres (or vice versa) produces a wildly wrong result. Use the Imperial/Metric toggle and keep all inputs in the same unit system.

よくある質問

ラグーンプールの水量を計算する公式は何ですか?

水量 (ft³) = L × W × π/4 × 平均深さ。 L は最大長さ、W は最大幅、平均深さ = (浅い側 + 深い側) ÷ 2 です。π/4 係数 (≈ 0.7854) は、不規則なラグーン形状が境界長方形をどれくらい満たすかを近似します。立方フィートに 7.48052 を掛けると米国ガロンになり、28.3168 を掛けるとリットルになります。平均深さ 5 フィートの 16×32 フィートのラグーンプールは、15,040 ガロン (56,934 リットル) の水を保持します。

ラグーンプールはどのように測定しますか?

ラグーンプールの一方の端からもう一方の端までの最長直線距離を測定し、最大長さ (L) とします。端から端まで垂直な最大スパンを測定し、最大幅 (W) とします。両方の測定は曲面エッジではなく、直線の境界長方形に従います。次に、最も浅い部分と深い部分の水面からラグーンプールの底までまっすぐ下に深さを測定します。ラグーンプールの測定で最もよくある間違いは、端から端までの直線距離を測らずに曲面エッジに沿って測ることです。

16×32 のラグーンプールは何ガロンの水を保持しますか?

15,040 米国ガロン (56,934 リットル) です(π/4 形状係数を使用した第1層境界ボックス法で、平均深さが5フィートの場合)。平均深さが4フィートと浅い場合、同じ16×32のラグーンプールは12,032ガロン (45,547 リットル) を保持します。「精度を向上させる」パネルで「典型的なラグーン」 (0.75) を選択すると、第2層の見積もりは深さ5フィートで14,363ガロン (54,368 リットル) になります。

ラグーンプールは何リットルの水を保持しますか?

平均深さ5フィートの中規模な 20×38 フィートのラグーンプールは、84,512 リットル (22,326 米国ガロン) を保持します。立方フィートに 28.3168 を掛けると、任意のラグーンプールの水量をリットルに変換できます。メートル法モードでは、計算機はメートルを使用し、m³ に 1,000 を掛けてリットルを主な単位として返します。平均深さ 1.5 m の 5×10 m のラグーンプールは、約 58,905 リットル (15,561 ガロン) を保持します。

ラグーンプールの水量公式の精度はどのくらいですか?

π/4 を使用した境界ボックス公式は、ほとんどの形状でラグーンプールの水量を ±10–20% の範囲で見積もります。「精度を向上させる」パネルを開いて形状のコンパクトさ係数を選択すると、精度が ±10–15% に絞り込まれます。最も正確な結果 (±2–5%) を得るには、施工業者の図面や衛星測定ツールから得た既知の表面積を入力してください。3層システムにより、プールの特定の形状に関する詳細情報を提供するほど精度が向上します。

これは地上設置型のラグーンプールにも使用できますか?

はい、可能ですが、地上設置型プールのほとんどは円形または楕円形に製造されているため、地上設置型のラグーンプールは珍しいです。カスタムのフリーフォーム地上設置型プールをお持ちの場合は、通常通り最大長さと最大幅を入力してください。地上設置型プールは底が平らであるため、深さの入力欄には両方とも壁の高さを入力します。高さ4フィートの壁を持つ16×32フィートの地上設置型ラグーンプールは、約 12,032 ガロン (45,547 リットル) を保持します。

このラグーンプール計算機の3つの精度層とは何ですか?

第1層は形状係数として π/4 (≈ 0.7854) を使用し、±10–20%以内で迅速な見積もりを出します。第2層では、ラグーンプールの曲線に合わせてコンパクトさのレベル(非常にコンパクトな 0.85 から非常に不規則な 0.55 まで)を選択でき、精度が ±10–15% になります。第3層は施工業者の図面から既知の表面積を受け入れ、境界ボックス法を完全にバイパスして ±2–5% の精度を出します。

ラグーンプールの水量見積もりの精度を上げるにはどうすればよいですか?

計算機の下にある「精度を向上させる」パネルを開き、あなたのラグーンプールに最も一致する形状のコンパクトさを選択します。ほぼ楕円形の「非常にコンパクト」 (0.85) から、極端な切り込みがあるプールの「非常に不規則」 (0.55) まで選べます。最も正確な結果を得るには、「既知の表面積」パネルを開き、施工業者の図面から実際の表面積を入力してください。これにより境界ボックスの近似をスキップし、精度が ±2–5% に絞り込まれます。

ラグーンプールの水量とは何ですか?

ラグーンプールの水量とは、喫水線まで水を入れたときにプールが保持する総量であり、米国ガロン、リットル、または立方フィートで表されます。ラグーンプールはフリーフォームで曲線的な形状をしているため、水量は境界ボックス法と形状係数を使用して、最大長さ、最大幅、平均深さから見積もられます。デフォルトの π/4 見積もりを使用すると、平均深さ5フィートの 16×32 フィートのラグーンプールは約 15,040 ガロン (56,934 リットル) を保持します。

既知の表面積オプションはいつ使用すべきですか?

施工業者の図面、測量士のレポート、または衛星測定ツールから得た検証済みの面積がある場合は、「既知の表面積」パネルを使用してください。これにより境界ボックスの近似をバイパスし、精度が ±2–5% に絞り込まれます。これは、極端な入り江や半島がある場合、またはコンパクトさの選択が不確実な非標準的な形状のラグーンプールに最適なオプションです。