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Surface Area of an Odd-Shaped Pool - Metric

Pool Surface Area Calculator. Image is AI generated

Calculate a pool's surface area from the volume and depth of the pool using metric measurements.

This calculator will give you a reasonable estimate in square metres of your pool's surface area from the fill volume in litres and the average depth of the pool in metres.

Using imperial measurements? If your pool is measured in gallons and feet, use the Imperial Pool Surface Area Calculator.

Related Calculators:

Pool Square Metre Calculator

Litres Needed to Fill Pool L
Average Pool Depth M

Results:

Surface Square Metres of Pool M²

Calculator

  1. the number of litres it takes to fill your pool
  2. the average depth of the pool (take a measurement at the shallow end and one at the deepest end of the pool. Add them together and divide by two).

Result

  1. the surface area of your pool in square metres.

Surface Area of an Odd-Shaped Pool (Metric)

Given:

  • \(V\) = Fill volume in litres (L)
  • \(D\) = Average pool depth in metres (m)

The pool's surface area \(A\) in square metres is:

\[ A \;=\; \frac{V}{1000 \times D}\quad\bigl(\text{m}^2\bigr) \]

Explanation: Converting litres to cubic metres (divide by 1000), then dividing by the depth yields the surface area.

Sample Calculation

Suppose:

  • Fill volume \(V = 50{,}000\) L
  • Average depth \(D = 2.0\) m

Step 1: Convert litres to cubic metres:

\[ \text{Volume in m}^3 = \frac{50{,}000}{1000} = 50\;\text{m}^3 \]

Step 2: Divide by the depth to find surface area:

\[ A = \frac{50\;\text{m}^3}{2.0\;\text{m}} = 25\;\text{m}^2 \]

Result: The pool's surface area is 25 m².

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