Bottle Fill Volume Calculator

Work out bottle fill volume instantly with clear inputs, formula shown and shareable results.

About Bottle Fill Volume Calculator

Average-content filling law requires the mean contents to be at least nominal and very few packs below the tolerable negative error. Setting the target two standard deviations above nominal satisfies that, at the cost of give-away overfill — which is why reducing filler variability directly reduces product given away free.

Formulas

Target fill

Target = nominal + 2 x filling standard deviation

Give-away

Overfill % = (target - nominal) x 100 / nominal; headspace = brimful capacity - target

Worked example

With the default values below, Bottle Fill Volume Calculator returns Target Fill Volume of 507.000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Nominal Fill Volumeminimum 0.01 mL: 500 mL
Filling Standard Deviationminimum 0.001 mL: 3.5 mL
Bottle Brimful Capacityminimum 0.01 mL: 530 mL
Tolerable Negative Errorminimum 0 mL: 15 mL

Results

Target Fill Volume: 507.000
Headspace Remaining: 23.000
Give-Away Overfill: 1.400%
Sigma Margin To Tolerable Negative Error: 6.286

Step by step

1Values used
2Target fill
3Give-away
4Target Fill Volume= 507.000
5Headspace Remaining= 23.000
6Give-Away Overfill= 1.400
7Sigma Margin To Tolerable Negative Error= 6.286

Assumptions and limits

The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
Average quantity and tolerable negative error requirements are set by weights and measures legislation in each jurisdiction. Confirm the applicable rules and verification procedures before setting fill targets.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Average quantity and tolerable negative error requirements are set by weights and measures legislation in each jurisdiction. Confirm the applicable rules and verification procedures before setting fill targets.

Frequently Asked Questions

Why not fill exactly to nominal?

Half the packs would then be underweight. Average-content rules require the mean to be at or above nominal and limit how many packs may fall below TNE, so a safety margin above nominal is unavoidable.

How is give-away reduced?

By cutting filler standard deviation — better valve control, temperature stability, checkweigher feedback. Halving sigma halves the required overfill, which on high volumes is a large saving.