Swimming pool volume calculator

Every dose and every heating calculation starts from the volume, so it is worth getting right once.

Water volume
46 400L
= Exact Pool volume
In cubic metres
46.400
In US gallons
12 258
In imperial gallons
10 207
Surface area
32.00
Perimeter
24.00
Average depth
1.450
Weight of the water
46 400
Show the working
  1. Pool shape = 1
  2. Length or diameter = 8
  3. Width = 4
  4. Shallow end depth = 1.1
  5. Deep end depth = 1.8
  6. Average depth = (1.1 + 1.8) / 2 = 1.45
  7. area = 1 == 1 ? 8 * 4 : 1 == 2 ? pi * (8/2)^2 : pi * (8/2) * (4/2) = 32
  8. In cubic metres = 32 * 1.45 = 46.4
  9. Water volume = 46.4 * 1000 = 46 400
  10. In US gallons = 46 400 / 3.785411784 = 12 257.6
  11. In imperial gallons = 46 400 / 4.54609 = 10 206.6
  12. Weight of the water = 46 400 = 46 400
  13. Surface area = 32 = 32
  14. Perimeter = 1 == 1 ? 2*(8 + 4) : 1 == 2 ? pi*8 : pi * (3*(8/2 + 4/2) - sqrt((3*8/2 + 4/2)*(8/2 + 3*4/2))) = 24

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • volume = surface area x average depth
    • a cubic metre of water is exactly 1000 litres and weighs almost exactly 1000 kg

    A sloping floor averages out to the mean of the two depths only if the slope is uniform. Odd shapes need dividing into sections.

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