Kalkulator Volume Kolam Oktagon

Calculate the total water your octagon pool holds — in gallons, litres, and cubic feet — using its flat-to-flat diameter and average depth.

Tip: Kolam oktagon reguler menggunakan faktor luas tepat 0,8284. Ukur jarak tepat di tengah dari satu sisi datar ke sisi datar yang berlawanan — bukan dari sudut ke sudut. Untuk kolam dengan kedalaman seragam, masukkan nilai yang sama di kedua kolom kedalaman.

Octagon Dimensions

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Luas Permukaan = —
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This calculator assumes a regular octagon with equal side lengths and 135° internal angles.
kaki persegi
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Rumus: Volume = Luas Permukaan × Kedalaman Rata-rata × 7,48052 (imperial) atau × 1000 (metrik).
Ini adalah input area langsung untuk luas permukaan yang diketahui.

Cara Menggunakan Kalkulator Volume Kolam Oktagon Ini

Regular octagon pool diagram showing flat-to-flat diameter, side length, and depth measurement points Oktagon Reguler D Diameter (rata-ke-rata) side s Kedalaman Rata-rata diagonal ✗

Pilih Imperial (kaki) atau Metrik (meter) menggunakan sakelar di bagian atas kalkulator. Mode imperial mengembalikan galon AS sebagai unit utama. Mode metrik mengembalikan liter dan meter kubik — pilih Metrik jika Anda menakar bahan kimia dalam liter atau tinggal di luar Amerika Serikat.

  1. DIAMETER — Sisi-ke-Sisi (D) — lebar sisi-ke-sisi dari kolam oktagon reguler. Ukur dari tengah satu sisi datar tepat di tengah hingga ke tengah sisi datar yang berlawanan. Jangan mengukur dari sudut ke sudut — diagonalnya sekitar 8% lebih panjang dan akan melebih-lebihkan volume sekitar 17%.
  2. KEDALAMAN BAGIAN DANGKAL (D₁) — kedalaman dari garis air hingga dasar kolam di titik terdangkal. Ukur tegak lurus ke bawah, bukan di sepanjang dinding yang miring.
  3. KEDALAMAN BAGIAN DALAM (D₂) — kedalaman dari garis air hingga titik teridalam. Untuk kolam oktagon dasar datar, masukkan nilai yang sama dengan D₁.

Hasil muncul seketika dalam galon, liter, dan kaki kubik. Gunakan volume tersebut untuk menakar bahan kimia, memperkirakan waktu pengisian, atau menentukan ukuran pemanas dan pompa kolam.

Pembuat kolam menyebut ukuran kolam oktagon sebagai lebar sisi-ke-sisi keseluruhan — ini tidak sama dengan panjang sisi, jadi jangan mengukur satu sisi oktagon dan memasukkan nilai tersebut sebagai diameter kolam.

Apa Itu Volume Kolam Oktagon?

Octagon 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 printed on chemical labels, heater spec sheets, and pump sizing charts.

A regular octagon pool has eight equal sides and eight equal 135° angles. Its surface area is calculated exactly from the flat-to-flat diameter using the factor 2(√2 − 1) ≈ 0.8284 — no approximation or shape factor is needed. Multiply that exact area by average depth to get volume.

Knowing your octagon pool's volume matters every time you add chlorine, estimate fill time, or check whether your heater is sized correctly. An 18 ft octagon pool at 5 ft average depth holds 10,039 gallons (38,003 litres) — but dropping the depth by just one foot cuts that by roughly 2,008 gallons.

Why Regular Octagon Pools Use Exact Geometry

A regular octagon inscribed in a square of side D fills exactly 82.84% of that square. The four corner triangles that are "cut" to form the octagon have a combined area of 17.16% of D². This ratio — 2(√2 − 1) — is mathematically exact, not an estimate.

This is different from freeform, kidney, or lagoon pools that need approximation factors because their curves do not follow a single formula. A regular octagon is a well-defined geometric shape, so its area comes directly from one measurement: the flat-to-flat diameter.

If your pool has eight sides but they are not all the same length, it is an irregular octagon. The 2(√2 − 1) factor does not apply. In that case, use the "I know my pool's surface area" panel in the calculator above — enter the measured surface area from your builder's plans or a satellite image and let the calculator multiply by average depth.

How to Calculate Octagon Pool Volume

Regular octagon inscribed in its bounding square showing four corner triangles as removed area and the octagon area formula Bounding square D × D Octagon Area = D² × 2(√2 − 1) cut cut D Area = 82.84% of bounding square

A regular octagon pool has eight equal sides and a known geometric area — it is not a round pool and not a hexagon pool. The octagon area formula is exact, unlike approximation factors used for freeform shapes. This produces a precise surface area from a single measurement: the flat-to-flat diameter.

The Octagon Pool Volume Formula

Volume (ft³) = D² × 2(√2 − 1) × Average Depth
Average Depth = (Shallow End + Deep End) ÷ 2

Cubic feet → US gallons: × 7.48052

Cubic feet → Litres: × 28.3168

D = flat-to-flat diameter of the regular octagon pool, measured from the centre of one flat side to the centre of the opposite flat side. 2(√2 − 1) ≈ 0.8284 is the octagon area factor. It represents the fraction of the bounding square that the octagon fills — a regular octagon inscribed in a square of side D covers exactly 82.84% of that square's area. The remaining 17.16% consists of four identical right-angled triangles cut from the corners of the bounding square.

All dimensions must use the same unit — all feet or all metres — before multiplying. Mixing inches with feet is the most common unit error in octagon pool volume calculations. See our complete list of pool volume formulas for other pool shapes.

Step-by-Step Worked Example

Pool: 18 ft octagon pool (flat-to-flat diameter), Shallow End = 3.5 ft, Deep End = 6.5 ft.

  1. Average Depth= (3.5 + 6.5) ÷ 2= 5.0 ft
  2. Octagon Factor= 2 × (√2 − 1)= 0.8284
  3. Surface Area= 18² × 0.8284 = 324 × 0.8284= 268.41 sq ft
  4. Volume= 268.41 × 5.0= 1,342.05 cu ft
  5. US Gallons= 1,342.05 × 7.48052= 10,039 gal
  6. Litres= 1,342.05 × 28.3168= 38,003 L

An 18 ft octagon pool at 5 ft average depth is a mid-size residential pool, comparable in volume to a 15 ft round pool at the same depth. For chemical dosing tables matched to your exact volume, see pool volume chemical dosing.

How to Measure an Octagon Pool

Top-down regular octagon pool showing correct flat-to-flat width versus incorrect corner-to-corner diagonal measurement 1 Flat-to-Flat ✓ corner-to-corner ✗ (~8% longer) 2 Side = s D₁ shallow D₂ deep Kedalaman waterline → floor

Measuring Octagon Pool Dimensions

Flat-to-flat diameter (D) is the perpendicular distance from the centre of one flat side to the centre of the directly opposite flat side. This is the measurement the octagon pool volume calculator requires. Stretch the tape across the water surface through the centre of the pool — do not follow the pool edge.

Corner-to-corner diagonal connects two opposite vertices and is always about 8.2% longer than the flat-to-flat width on a regular octagon pool. Entering the diagonal instead of the flat-to-flat width overstates the surface area by about 17% and the calculated volume by the same proportion. For an 18 ft octagon pool, the corner-to-corner diagonal measures approximately 19.5 ft — a 1.5 ft difference that would add roughly 1,700 gallons (6,434 litres) of phantom volume.

Side length (s) is the length of one of the eight equal edges. The calculator does not use side length directly — it uses the flat-to-flat diameter. For reference, the side length of a regular octagon equals D × (√2 − 1), or about 41.4% of the flat-to-flat width. An 18 ft octagon pool has a side length of approximately 7.46 ft.

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 octagon pool floor — not along a sloped bottom.

Octagon pools with variable depth typically slope from a 3–4 ft shallow end to a 5–7 ft deep end. The two-point average approximates total water volume within ±3% for gradual slopes. For an octagon pool with a flat shelf that drops sharply to a deep section, measure depth at 3 points along the pool and average all 3 for a tighter result.

Octagon Pool Volume by Size — Reference Table

The table below shows octagon pool volume at 8 standard sizes. All rows use 5.0 ft average depth (shallow 3.5 ft + deep 6.5 ft). Volumes are calculated using the exact regular octagon formula — D² × 2(√2 − 1) × average depth — not a shape-factor approximation.

Octagon Pool Volume Table

Pool Width (D) Avg Depth US Gallons Litres
12 ft5.0 ft4,46216,890
14 ft5.0 ft6,07322,989
16 ft5.0 ft7,93230,027
18 ft5.0 ft10,03938,003
20 ft5.0 ft12,39446,917
22 ft5.0 ft14,99756,769
24 ft5.0 ft17,84767,560
28 ft5.0 ft24,29391,957

Calculated using the regular octagon formula: Area = D² × 2(√2 − 1), then Volume = Area × Average Depth. 1 cu ft = 7.48052 US gal = 28.3168 L. Average depth = 5.0 ft (shallow 3.5 ft + deep 6.5 ft) ÷ 2. Measure the flat-to-flat width — not corner-to-corner diagonal.

Residential octagon pools typically range from 12 ft (4,462 gallons / 16,890 litres) up to 24 ft (17,847 gallons / 67,560 litres). Commercial and custom-built octagon pools can reach 28 ft or larger. Volume scales with the square of the diameter — doubling the width quadruples the water volume. For benchmarks across other pool shapes, see pool volume by size. Enter your exact octagon pool diameter in the calculator above for depths other than 5 ft.

Octagon Pool Volume in Litres and Square Metres

Switch the unit toggle to <strong>Metric</strong> to enter your octagon pool's flat-to-flat diameter in metres and read the primary result in litres. The calculator displays volume in litres, cubic metres (m³), and US gallons simultaneously. Surface area appears in square metres (m²) in the live preview chip above the input fields.

For the 18 ft worked example above: 10,039 US gallons × 3.78541 = 38,003 litres. You can also convert directly from cubic feet: 1,342.05 ft³ × 28.3168 = 38,003 L. Both paths produce the same result because 7.48052 × 3.78541 ≈ 28.3168.

Pool owners in Australia, the United Kingdom, the EU, and New Zealand buy chemicals dosed per litre, making litres the primary unit for those markets. A 6 m octagon pool (flat-to-flat) at 1.5 m average depth has a surface area of 29.82 square metres and holds 44,735 litres (11,818 US gallons). For a full guide to litre-based pool calculations across all shapes, see pool volume in litres.

Why Accurate Octagon Pool Volume Matters

Chemical dosing. Chlorine, pH adjusters, and algaecides are dosed per gallon or per litre. Overestimate volume and you under-dose — risking algae. Underestimate and you over-dose — wasting chemicals and irritating skin. See pool volume chemical dosing for dose tables matched to your exact volume.

Fill and drain planning. A standard garden hose delivers about 500 gallons per hour. A 10,039-gallon octagon pool takes roughly 20 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 7,000-gallon pool will take noticeably longer to warm a 10,039-gallon octagon pool, increasing energy costs and delaying swim time.

Pump and turnover rate. Pumps are sized to turn over the full pool volume in 8–12 hours. An inaccurate volume means the pump runs too short (poor filtration) or too long (wasted electricity). Accurate octagon pool volume keeps turnover on target. For calculators covering other pool shapes, visit Pool Volume.

Common Mistakes When Calculating Octagon Pool Volume

These six mistakes cause the largest errors in octagon pool volume calculations:

  1. Measuring corner-to-corner instead of flat-to-flat. The corner-to-corner diagonal is about 8% longer than the flat-to-flat diameter. Entering the diagonal overstates surface area by ~17% and volume by the same proportion. For an 18 ft octagon pool, this adds roughly 1,700 phantom gallons (6,434 litres).
  2. Entering one side length instead of the diameter. The side length of a regular octagon is about 41% of the flat-to-flat width. Entering 7.46 ft (one side of an 18 ft octagon) instead of 18 ft would under-report volume by more than 80%.
  3. Measuring depth along a sloped floor. Depth is the vertical distance from the waterline straight down to the pool floor — not the length of a sloping bottom. Measuring along the slope inflates depth and over-estimates volume.
  4. Mixing feet and inches. Entering 4 feet 6 inches as "4.6" instead of "4.5" adds a 2% error. Convert inches to decimal feet (divide by 12) before entering dimensions, or switch to Metric mode and use metres throughout.
  5. Assuming every 8-sided pool is a regular octagon. Some custom pools have eight sides of unequal length. The 2(√2 − 1) formula only works for regular octagons. For irregular 8-sided pools, measure the actual surface area and use the advanced known-surface-area input.
  6. Using wall height as water depth for above-ground pools. Above-ground octagon pools are rarely filled to the brim. The actual water depth is typically 2–4 inches less than the wall height. Measure from the waterline, not the top of the wall.

Frequently Asked Questions

What is the formula for octagon pool volume?

Volume (ft³) = D² × 2(√2 − 1) × Average Depth, where D is the flat-to-flat diameter of the regular octagon pool. The factor 2(√2 − 1) ≈ 0.8284 represents the ratio of octagon area to bounding square area. Average Depth = (Shallow + Deep) ÷ 2. Multiply cubic feet by 7.48052 for US gallons or by 28.3168 for litres. An 18 ft octagon pool at 5 ft average depth holds 10,039 gallons (38,003 litres).

How do I measure an octagon pool?

Measure the flat-to-flat diameter by stretching a tape from the centre of one flat side straight across to the centre of the opposite flat side. Do not measure corner to corner — the diagonal is about 8% longer and would overstate octagon pool volume by roughly 17%. Then measure depth from the waterline to the floor at the shallowest and deepest points.

How many gallons does an 18×36 octagon pool hold?

An 18 ft octagon pool at 5 ft average depth holds 10,039 US gallons (38,003 litres). The notation 18×36 typically refers to an 18 ft above-ground octagon pool with a 36-inch (3 ft) wall. At 3 ft uniform depth, the same octagon pool holds 6,024 gallons (22,802 litres). Enter your exact octagon pool diameter and depth for a precise result.

How many litres does an octagon pool hold?

An 18 ft octagon pool at 5 ft average depth holds 38,003 litres (10,039 US gallons). Convert any octagon pool volume from cubic feet to litres by multiplying by 28.3168. In Metric mode, the calculator accepts dimensions in metres and returns litres by multiplying cubic metres by 1,000. A 6 m octagon pool at 1.5 m depth holds 44,735 litres (11,818 US gallons).

What is the difference between flat-to-flat width and corner-to-corner diagonal?

The flat-to-flat width is the perpendicular distance from the centre of one flat side to the centre of the opposite side — this is the measurement the octagon pool calculator requires. The corner-to-corner diagonal connects two opposite vertices and is about 8.2% longer. Entering the diagonal instead of the flat-to-flat width overstates octagon pool surface area and volume by approximately 17%.

Can I use this calculator for an irregular octagon pool?

No. This calculator uses the exact 2(√2 − 1) formula for regular octagon pools where all 8 sides are equal length and all angles are 135°. An irregular octagon has a different surface area. For that case, measure the pool's actual surface area and enter it in the 'I know my pool's surface area' advanced section, which multiplies your measured area by average depth without applying the octagon factor.

How accurate is the octagon pool volume formula?

The regular octagon formula uses exact geometry — the 2(√2 − 1) factor is mathematically precise, not an approximation. The main source of error is depth measurement: a 1-inch depth error on an 18 ft octagon pool changes the result by roughly 167 gallons (633 litres), about 1.7% of total volume. For octagon pools built to manufacturer tolerances, this formula matches actual water volume to within 1–2%.

How do I calculate octagon pool volume in square metres?

Switch the calculator to Metric mode and enter the flat-to-flat diameter in metres. The calculator computes surface area in square metres using the same 2(√2 − 1) factor, multiplies by average depth for cubic metres, then converts to litres (m³ × 1,000) and US gallons (m³ × 264.172). A 6 m octagon pool at 1.5 m depth has a surface area of 29.82 square metres and holds 44,735 litres.

What does octagon pool volume mean?

Octagon pool volume is the total amount of water the pool holds when filled to the waterline, expressed in US gallons, litres, or cubic feet. For a regular octagon pool, volume is calculated using exact geometry — the flat-to-flat diameter squared, multiplied by the octagon factor 2(√2 − 1) ≈ 0.8284, then multiplied by average depth. An 18 ft octagon pool at 5 ft average depth holds 10,039 gallons (38,003 litres).

Can I use this for an above-ground octagon pool?

Yes. Above-ground octagon pools are typically regular octagons, so the exact 2(√2 − 1) formula applies. Measure the flat-to-flat diameter across the top of the pool and enter the actual water depth — not the wall height, since most above-ground pools are not filled to the brim. An 18 ft above-ground octagon pool with a 52-inch wall filled to 48 inches (4 ft) of water holds 8,031 gallons (30,402 litres).