Calculadora de volumen de piscina hexagonal
El volumen de la piscina es el agua total que contiene su piscina hexagonal, en galones estadounidenses y litros. Ingrese el ancho y la profundidad de plano a plano para obtener un resultado exacto.
Piscina hexagonal
Cómo usar esta calculadora de volumen de piscina hexagonal
Seleccione Imperial o Métrico en la parte superior del panel de entrada. El sistema imperial muestra resultados en pies, galones estadounidenses y litros. El métrico muestra resultados en metros, litros y galones estadounidenses.
- DIÁMETRO (de plano a plano) — Mida directamente a través del centro del hexágono desde un lado plano hasta el lado plano opuesto en la línea de flotación. No mida de esquina a esquina; la diagonal es aproximadamente un 15.5% más larga y produce un resultado que es un tercio demasiado alto.
- EXTREMO POCO PROFUNDO — Mida desde la línea de flotación hasta el fondo de la piscina en el punto menos profundo. Use una cinta con peso o un poste para llegar al fondo.
- EXTREMO PROFUNDO — Mida desde la línea de flotación hasta el punto más profundo. Para una piscina hexagonal de fondo plano, ingrese el mismo valor que el del extremo poco profundo.
El resultado muestra el volumen de su piscina en galones estadounidenses, litros y pies cúbicos (o metros cúbicos) simultáneamente, los tres valores que necesita para la dosificación de productos químicos, la planificación del llenado y el tamaño de la circulación de la bomba.
Los constructores y propietarios de piscinas a menudo confunden el ancho de plano a plano de un hexágono con la diagonal de esquina a esquina, e ingresar el número mayor sobreestima el volumen calculado en aproximadamente un 33%.
¿Qué es el volumen de la piscina hexagonal?
El volumen de la piscina hexagonal es la cantidad total de agua que contiene su piscina hexagonal, medida en galones estadounidenses, litros o pies cúbicos. Conocer este número es el punto de partida para cada decisión de mantenimiento.
Un hexágono regular tiene 6 lados iguales y una forma simétrica que no es ni circular ni rectangular. Eso significa que una fórmula de rectángulo o círculo no producirá el volumen de agua correcto. El hexágono necesita su propio factor de área específico de la forma (√3 ÷ 2) aplicado al ancho de plano a plano antes de multiplicarlo por la profundidad.
Tamaños típicos de piscinas hexagonales y capacidad de agua
Las piscinas hexagonales casi siempre se construyen a medida. Los anchos de plano a plano varían desde unos 10 pies (3.0 m) para una piscina compacta o spa hasta 24 pies (7.3 m) o más para una piscina de tamaño completo. Una piscina hexagonal de 16 pies a 5 pies de profundidad promedio contiene 8,292 galones (31,390 litros), mientras que una piscina de 20 pies contiene 12,957 galones (49,046 litros).
Dos piscinas hexagonales con la misma superficie exterior pueden tener volúmenes diferentes si las dimensiones internas del agua o la profundidad difieren. Los azulejos y los asientos reducen el área de agua interna. Mida siempre la superficie interna del agua.
El ancho de plano a plano y la longitud del lado de un hexágono regular están relacionados pero no son la misma medida. La longitud del lado es más corta por un factor de 1 ÷ √3 (aproximadamente 0.577 del ancho de plano a plano).
Cómo calcular el volumen de una piscina hexagonal
Un hexágono regular tiene 6 lados iguales, lo que significa que no es un círculo ni un rectángulo; necesita su propia fórmula de área. La fórmula de volumen de piscina para un hexágono aplica el factor de forma √3 ÷ 2 (aproximadamente 0.866) al cuadrado del ancho de plano a plano.
La fórmula del volumen de la piscina hexagonal
Área de superficie = (√3 ÷ 2) × D²
Volumen = Área de superficie × Profundidad promedio
Galones EE. UU. = Volumen (ft³) × 7.48052 | Litros = Volumen (ft³) × 28.3168
D es el ancho de plano a plano. La profundidad promedio es (extremo poco profundo + extremo profundo) ÷ 2. El factor de forma √3 ÷ 2 ≈ 0.866 representa la fracción exacta del cuadrado delimitador que ocupa un hexágono regular.
Este factor no es el mismo que el del octágono (≈ 0.828) o el del círculo (π ÷ 4 ≈ 0.785). Con el mismo ancho, un hexágono encierra más área que un octágono o un círculo.
La consistencia de las unidades importa: si mide en pies, el resultado es pies cúbicos. Multiplique por 7.48052 para galones estadounidenses o por 28.3168 para litros.
Ejemplo práctico: volumen de piscina hexagonal
Una piscina hexagonal a medida tiene un ancho de plano a plano de 24 pies, un extremo poco profundo de 3.5 pies y un extremo profundo de 6.5 pies.
- Profundidad promedio= (3.5 + 6.5) ÷ 2= 5.0 ft
- Área de superficie= (√3 ÷ 2) × 24²= 0.86603 × 576 = 498.83 ft²
- Volumen= 498.83 × 5.0= 2,494.15 ft³
- Gal EE.UU.= 2,494.15 × 7.48052= 18,658 gallons
- Litros= 2,494.15 × 28.3168= 70,626 litres
Una piscina hexagonal de 24 pies es un tamaño común para construcciones residenciales y contiene 18,658 galones (70,626 litros).
Cómo medir una piscina hexagonal
Medición de las dimensiones de la piscina hexagonal
Existen tres distancias diferentes en un hexágono regular, y solo una se usa en la calculadora:
- DIÁMETRO (de plano a plano) — la distancia perpendicular de un lado plano al lado plano opuesto. Esto es lo que acepta la calculadora.
- Longitud del lado (s) — uno de los 6 bordes iguales. Relacionado por s = D ÷ √3, o aproximadamente 0.577 × D.
- Diagonal de esquina a esquina — la línea recta más larga, de un vértice al vértice opuesto. Igual a D × 2 ÷ √3, o aproximadamente 1.155 × D.
La diagonal de esquina a esquina es aproximadamente un 15.5% más grande que el ancho de plano a plano. Ingresarla sobreestima el volumen en un tercio (33.3%).
Cálculo de la profundidad promedio
Si su piscina hexagonal tiene un fondo inclinado, mida la profundidad en el punto más bajo y en el más alto. La calculadora utiliza: Profundidad promedio = (extremo poco profundo + extremo profundo) ÷ 2.
Hexagon Pool Volume by Size — Reference Table
| DIÁMETRO (de plano a plano) | ÁREA DE SUPERFICIE | PROFUNDIDAD PROMEDIO | Gal EE.UU. | Litros |
|---|---|---|---|---|
| 10 pies | 86.60 pies cuadrados | 5.0 pies | 3,239 | 12,262 |
| 12 pies | 124.71 pies cuadrados | 5.0 pies | 4,664 | 17,657 |
| 14 pies | 169.74 pies cuadrados | 5.0 pies | 6,349 | 24,033 |
| 16 pies | 221.70 pies cuadrados | 5.0 pies | 8,292 | 31,390 |
| 18 pies | 280.59 pies cuadrados | 5.0 pies | 10,495 | 39,727 |
| 20 pies | 346.41 pies cuadrados | 5.0 pies | 12,957 | 49,046 |
| 22 pies | 419.16 pies cuadrados | 5.0 pies | 15,678 | 59,346 |
| 24 pies | 498.83 pies cuadrados | 5.0 pies | 18,658 | 70,626 |
Calculated using the hexagon pool formula with internal flat-to-flat width and average water depth. Do not use the corner-to-corner diagonal. 1 cu ft = 7.48052 US gal = 28.3168 L. Average depth = 5.0 ft based on 3.5 ft shallow and 6.5 ft deep water.
This range covers compact spa-size hexagons through full residential swimming pools. A 4 ft increase in flat-to-flat width adds roughly 2,500–5,000 gallons (9,500–19,000 litres), depending on where in the range you start. For more shapes and sizes, see the pool volume by size reference.
Hexagon Pool vs Octagon Pool — Volume Comparison
At the same flat-to-flat width and depth, a regular hexagon pool holds about 4.5% more water than a regular octagon pool. The reason is purely geometric: the hexagon shape factor is 0.866 while the octagon factor is 0.828. The hexagon fills a larger proportion of the bounding square than the octagon does.
For a 20 ft flat-to-flat pool at 5.0 ft average depth:
- Hexagon: 346.41 ft² surface area → 12,957 Gal EE.UU. (49,046 Litros)
- Octagon: 331.37 ft² surface area → 12,394 Gal EE.UU. (46,917 Litros)
- Difference: 563 Gal EE.UU. (2,129 Litros)
The 563-gallon gap is not large in absolute terms, but it is enough to affect chlorine concentration by 0.2–0.4 ppm at a standard 2 ppm target. If you dose a hexagon pool using octagon measurements or vice versa, your chemical levels will be consistently off. Use the correct shape — the octagon pool volume calculator for 8-sided pools, and this page for 6-sided hexagons.
Hexagon Pool vs Round Pool — Volume Comparison
A hexagon and a round pool can look similar from across a yard, but they use different formulas and different measurement inputs. A round pool needs a single diameter (edge to edge through the centre). A hexagon pool needs the flat-to-flat width, which is measured between two parallel flat sides — not between corners.
At a 20 ft flat-to-flat width and 5.0 ft average depth, a hexagon pool holds 12,957 gallons (49,046 litres). A round pool with the same 20 ft diameter holds 11,750 gallons (44,480 litres). The hexagon holds about 10.3% more water because its straight edges extend beyond the inscribed circle at each flat side.
The polygon edges of a hexagon make mismeasurement more likely. A round pool has one simple dimension — any straight line through the centre works. A hexagon pool, on the other hand, has three distinct widths (flat-to-flat, side length, and corner-to-corner), and choosing the wrong one changes the result by up to one-third.
Why Hexagon Pool Volume Matters for Chemicals, Refill Planning, and Heating
Chemical dosing depends directly on true water volume. Chlorine, pH adjusters, and algaecide labels specify amounts per gallon or per litre. Over-dosing a hexagon pool because the volume was overstated can irritate skin and damage surfaces; under-dosing allows algae and bacteria to grow. Always follow the product label and your equipment specifications for your exact pool setup. For a detailed look at dosing by volume, see pool volume and chemical dosing.
Refill planning depends on gallons or litres. A standard garden hose delivers about 9 gallons (34 litres) per minute. Filling a 12,957-gallon (49,046-litre) hexagon pool from empty takes roughly 24 hours of continuous flow — useful to know before you start a drain-and-clean.
Heating costs scale with total water volume, not visible surface area alone. A hexagon pool and a round pool with the same footprint width hold different volumes, so the heating bill differs too. Equipment manuals typically need gallons or litres to size the heater correctly.
Circulation pump sizing also depends on total water volume. Most residential pools need the full volume to turn over at least once every 8–12 hours. Under-sizing a pump because the calculated volume was too low reduces filtration and shortens equipment life.
Common Mistakes When Estimating Hexagon Pool Volume
- Using the corner-to-corner diagonal instead of the flat-to-flat width. The diagonal is about 1.155 times the flat-to-flat width. Squaring the larger number overstates the area by exactly one-third (33.3%), adding thousands of gallons to the result. Measure between two parallel flat sides.
- Confusing the side length with the flat-to-flat width. The side length of a regular hexagon is about 0.577 × the flat-to-flat width. Entering the side length where the flat-to-flat width is expected understates the area by more than two-thirds. The calculator labels the field "DIAMETER (flat-to-flat)."
- Using a round or octagon formula for a hexagon pool. The round factor is π ÷ 4 ≈ 0.785 and the octagon factor is ≈ 0.828. Neither matches the hexagon factor of ≈ 0.866. Applying the round formula to a 20 ft hexagon pool underestimates volume by about 1,200 gallons (4,540 litres).
- Measuring to the coping or outer deck edge instead of the internal water surface. Coping overhangs and decorative edges extend 2–4 inches beyond the waterline on each side. On a 20 ft hexagon pool, measuring the outer deck edge instead of the water surface overstates the flat-to-flat width and inflates volume by 300–600 gallons (1,135–2,271 litres).
- Using a single depth measurement instead of averaging shallow and deep ends. A hexagon pool with a 3.5 ft shallow end and a 6.5 ft deep end has a 5.0 ft average depth. Using the deep end alone overstates volume by 30%; using the shallow end alone understates it by the same amount.
- Mixing feet and inches incorrectly. A depth of 4 ft 6 in is 4.5 ft, not 4.6 ft. A 0.1 ft error on a 20 ft hexagon pool changes the result by about 260 gallons (984 litres). Convert inches to decimals by dividing by 12 (e.g., 6 in ÷ 12 = 0.5 ft).
Frequently Asked Questions
What is the formula for hexagon pool volume?
The formula uses the flat-to-flat width (D) of the regular hexagon: Surface Area = (√3 ÷ 2) × D², then Volume = Surface Area × Average Depth. The shape factor √3 ÷ 2 (approximately 0.866) accounts for the six-sided geometry. For a hexagon pool with a 20 ft flat-to-flat width and 5 ft average depth, the surface area is 346.41 sq ft and the volume is 12,957 US gallons (49,046 litres). The formula works in both Imperial and Metric units.
How do I measure a hexagon pool?
Measure the flat-to-flat width — the straight distance across the centre from one flat side to the opposite flat side. Do not use the corner-to-corner diagonal, which is about 15.5% larger and would overstate your hexagon pool volume by roughly 33%. For depth, measure from the waterline to the floor at the shallowest and deepest points. The calculator averages these two depths automatically. Use a rigid tape measure at the waterline, not along the coping or deck edge.
How many gallons does a hexagon pool hold?
A hexagon pool holds between 3,239 and 18,658 US gallons depending on size and depth. A 20 ft flat-to-flat hexagon pool at 5 ft average depth holds 12,957 gallons (49,046 litres). Smaller custom hexagon pools around 10 ft across hold roughly 3,239 gallons (12,262 litres) at the same depth. The exact volume depends on the flat-to-flat width and the average water depth, so measure both before dosing chemicals or planning a refill.
How many litres does a hexagon pool hold?
Typical residential hexagon pools hold between 12,262 and 70,626 litres. A 20 ft (6.1 m) flat-to-flat hexagon pool at 5 ft (1.5 m) average depth holds 49,046 litres (12,957 US gallons). Larger custom hexagon pools at 24 ft (7.3 m) across hold 70,626 litres (18,658 US gallons). To convert cubic feet to litres, multiply by 28.3168. To convert cubic metres to litres, multiply by 1,000.
What is the difference between a hexagon and octagon pool volume?
At the same flat-to-flat width and depth, a regular hexagon pool holds about 4.5% more water than a regular octagon pool. The hexagon shape factor is 0.866, while the octagon factor is 0.828. For a 20 ft flat-to-flat pool at 5 ft average depth, the hexagon holds 12,957 gallons (49,046 litres) versus 12,394 gallons (46,917 litres) for the octagon — a difference of 563 gallons (2,129 litres). Use the correct shape formula for accurate chemical dosing.
Should I measure flat-to-flat or corner-to-corner for a hexagon pool?
Flat-to-flat. The hexagon pool calculator requires the flat-to-flat width — the perpendicular distance from one flat side to the opposite flat side. The corner-to-corner diagonal of a regular hexagon is exactly 2/√3 (about 1.155) times the flat-to-flat width. Entering the diagonal instead overstates the hexagon pool area by exactly one-third and produces a volume that is 33% too high. On a 20 ft hexagon pool, that error adds about 4,300 gallons (16,350 litres) to the result.
How accurate is the hexagon pool volume formula?
The formula is geometrically exact for a regular hexagon — a six-sided polygon where all sides are equal. The accuracy of your result depends on how well your pool matches a true regular hexagon and how precisely you measure the flat-to-flat width and depth. Most custom hexagon pools are built to regular hexagon specifications. A measurement error of just 6 inches on a 20 ft hexagon pool changes the volume by about 650 gallons (2,500 litres), so careful measurement matters more than the formula itself.
Can I enter the surface area directly instead of the flat-to-flat width?
Yes. The calculator includes an advanced mode labelled "I Know My Pool's Surface Area." Open it and enter your measured surface area and average depth directly. This bypasses the hexagon shape factor entirely — it uses your exact area instead. This is useful for any hexagon pool where you have the area from a builder's plan or satellite measurement. The formula becomes Surface Area × Average Depth, then multiply by 7.48052 for US gallons or 28.3168 for litres.