The new turkey nest is graded and the surveyor isn't back for three weeks. You need the capacity in megalitres for the water licence application before the deadline this Friday.
Volume (m³) = L × W × D × Shape factor
Shape factors: Rectangular 0.6 · Circular 0.6 · Irregular 0.5 (accounts for sloping sides)Stock water requirements (L/day): Cattle 50L · Sheep 5L · Horses 45L
Allow 30% reduction from nominal capacity for sediment accumulation and evaporation.
1 What this calculator does
Calculates farm dam or turkey nest water storage capacity in megalitres from measured dimensions. Supports rectangular/trapezoidal (standard farm dam) and circular profiles. Shows volume at 100%, 75% and 50% fill.
2 Formula & professional reasoning
Trapezoidal dam (Prismatoid formula):
Volume (m3) = (Depth / 3) x [A_top + A_bottom + sqrt(A_top x A_bottom)]
Volume (ML) = Volume (m3) / 1,000
Farm dams are typically trapezoidal — wider at top, narrowing to floor. The prismatoid formula correctly calculates volume for this shape. The simpler average-of-top-and-bottom method overestimates volume by 5-15% — unacceptable for water licence applications. Using only the top area (treating as a rectangle) can overstate capacity by 30-50%.
3 Worked examples
⚠️ Illustrative example only — not clinical or professional instruction.
sqrt(4,800 x 3,500) = sqrt(16,800,000) = 4,099 m2 | Volume: (3.5/3) x (4,800+3,500+4,099) = 1.167 x 12,399sqrt(22,000 x 4,000) = 9,381 m2 | Volume: (4.2/3) x (22,000+4,000+9,381) = 1.4 x 35,381Due to tapered shape, 75% depth gives less than 75% of full volume. Use prismatoid at actual depth.4 Sanity check
5 Common errors
| Error | Cause | Consequence | Fix |
|---|---|---|---|
| Using only the top surface area | Ignoring tapered sides | Volume overstated 30-50% | Always use both top AND bottom area in the prismatoid formula. |
| Measuring to embankment crest instead of full supply level | Using total depth including freeboard | Capacity overstated | Full supply level is typically 0.5-1.0 m below the embankment crest. |
| Confusing m3 and ML | Not performing the division by 1,000 | Licence application in wrong units | 1 ML = 1,000 m3. Water licences in Australia use megalitres. |
| Not surveying before licence application | Using estimated dimensions | Licence for wrong volume — compliance issue | For a formal licence application, use GPS or total station surveyed dimensions. |
6 Reference & regulatory links
7 Professional workflow
Common tools used alongside this one: