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Potting Soil Calculator

The Potting Soil Calculator turns the size of your containers into the volume of mix you need, then divides that batch into the parts of your chosen recipe so you can mix it by volume instead of guessing.

Dimensions are entered in inches or centimetres; volumes are reported in both systems.

Tapered pots use a cone-frustum volume; straight-sided pots use a cylinder.

Trade names are the inside top diameter. Heights and tapers approximate the nursery range, so measure your pots for an exact batch.

Inside length of the box or trough, in inches (centimetres in metric mode).

Inside width of the box or trough, in inches (centimetres in metric mode).

Inside diameter of a straight-sided round pot, bucket or tub.

Inside diameter at the rim, which is the number on a nursery pot.

Inside diameter at the base. Must not be wider than the top.

Inside depth of the container in inches (centimetres in metric mode).

Leave a gap so watering does not run straight out. This space is not filled with soil.

How many pots, boxes or planters you are filling with the same mix.

Percentages are by volume, the way potting media is mixed.

First part of a three-part custom recipe, by volume.

Second part of a three-part custom recipe, by volume.

Third part of a three-part custom recipe, by volume. The three shares must total 100%.

Extra to cover mix left in the bucket, on the bench and settled after watering.

Used to round the batch up to whole bags.

Optional. Adds a cost estimate for the number of bags required.

What Is the Potting Soil Calculator?

The Potting Soil Calculator is a batching tool for container growing. It works out the volume of soil that fits inside a pot, window box or planter, scales that volume to the number of containers, and divides the result into the parts of a potting recipe so you can mix the right amount by volume.

Container growers cannot rely on a bed depth and an area the way an in-ground gardener can. A pot holds a specific number of cubic inches, that volume is fixed once the plant is potted, and it has to be filled with a medium that holds both air and water. Estimating the quantity by eye is where most mixing goes wrong: too little leaves air pockets in the batch, too much ends up as half-empty bags in the shed.

The calculator takes the container geometry seriously, so tapered pots, straight-sided pots and rectangular troughs are each handled with the right formula, and the watering gap is subtracted before anything is multiplied out.

How Does the Potting Soil Calculator Work?

The first step is the depth of soil. The watering gap you want under the rim is subtracted from the inside depth, giving the height H that the volume formulas use.

A straight-sided round pot is a cylinder: V = pi r squared x H, with the radius being half the inside diameter.

A tapered flowerpot is a truncated cone, so its volume is (pi x H / 3) x (R squared + R r + r squared), where R and r are the top and bottom radii. This is why a 10 in pot holds noticeably less than the cylinder formula for a 10 in diameter, because the base is narrower than the rim.

A rectangular box is simply length x width x H. The same formula covers window boxes, half-whisky-barrels cut lengthwise and rectangular troughs.

The per-container volume is multiplied by the number of containers to give the volume needed to fill them all, and the mixing surplus is then added as a percentage to cover mix left in the bin, on the bench and settled after the first watering.

Finally the batch is split. Each component takes its percentage share of the batch volume, and the weights are estimated from the bulk density of the chosen recipe, which is far lighter for peat mixes than for loam-based composts.

Potting Soil Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Round  V=πr2HFlowerpot  V=πH3(R2+Rr+r2)Batch  Vb=V⋅n(1+s100)Vi=Vb⋅pi100,∑pi=100\text{Round}\; V = \pi r^{2} H \qquad \text{Flowerpot}\; V = \frac{\pi H}{3}\left(R^{2} + Rr + r^{2}\right) \\ \text{Batch}\; V_{b} = V \cdot n \left(1 + \frac{s}{100}\right) \qquad V_{i} = V_{b} \cdot \frac{p_{i}}{100}, \quad \sum p_{i} = 100

Variable Definitions

SymbolVariable Meaning & Units
VUsable soil volume of one container
L, WInside length and width of a rectangular container
R, rTop and bottom inside diameters of a tapered pot, halved for the radii
HDepth of soil = container depth minus the watering gap
nNumber of containers being filled
sMixing surplus, in percent
pip_iVolume percentage of component i in the recipe

The volume of soil that fits in a container is ordinary solid geometry, with one adjustment: the height used is the depth of the container minus the watering gap, because that gap is left empty so water can soak in rather than run off the surface. A straight-sided pot is a cylinder, so its volume is pi r squared times the height. A tapered flowerpot is a truncated cone, which is why the three-term term R squared plus R r plus r squared appears. Multiplying by the number of containers gives the volume needed to fill them all, and the surplus percentage covers mix that stays in the mixing bin, sticks to the trowel and settles after the first watering. Each component then takes its volume percentage share of that batch, because potting media is mixed by volume.

How to Use the Potting Soil Calculator

  1. Choose imperial or metric units. Dimensions are entered in inches or centimetres; volumes are shown in both systems.
  2. Pick the container shape: tapered flowerpot, straight-sided round pot or rectangular box.
  3. For flowerpots, choose a standard nursery size. The preset loads the inside top diameter, an approximate base diameter and an approximate height. Switch to custom dimensions if you want to measure your own pots.
  4. Enter the container depth and the watering gap you want to leave below the rim. A gap of about 1 in (2.5 cm) suits most pots.
  5. Enter how many containers you are filling with the same mix.
  6. Choose a recipe, or set your own three-part shares by volume. The shares must total 100%.
  7. Set the mixing surplus. Ten percent is a sensible default; large jobs mixed with a wheelbarrow can justify more.
  8. Pick your retail bag size and, optionally, the price per bag to get a cost estimate.
  9. Read the per-pot volume, the batch volume in cubic feet and litres, the split by component and the number of bags to buy.
  10. Compare the standard pot sizes in the bar chart to see how quickly the soil requirement climbs with pot size.

Step-by-Step Example Calculation

Six 10-inch pots of general soilless mix

Input Values:

unitSystem:imperial
containerShape:flowerpot
potSize:pot_10
depth:6.5
headspace:1
containerCount:6
mixRecipe:general_potting
surplusPct:10
bagSizeCuFt:2
Worked Steps: Usable depth = 6.5 in - 1 in = 5.5 in. Pot volume = (pi x 5.5 / 3) x (5^2 + 5 x 4.25 + 4.25^2) = 370.41 cu in per pot, so six pots need 2222.48 cu in = 36.42 L. Adding a 10% mixing surplus gives a batch of 2444.73 cu in = 1.415 cu ft = 40.06 L, which is one 2 cu ft bag. Split by volume: 1222.36 cu in (20.03 L) peat, 733.42 cu in (12.02 L) perlite and 488.95 cu in (8.01 L) compost. The wet mix weighs about 23.6 lbs (10.7 kg).

Understanding Your Result

Per container: the usable fill volume of one pot in cubic inches, litres and gallons. This is the number to check when a result looks surprising.

Fill depth: container depth minus the watering gap. Under about 3 in suits only seed trays and cuttings.

Volume to fill the pots: the per-container volume times the number of containers, before any surplus.

Soil to mix: the batch including the surplus. This is the quantity to mix or buy.

Recipe split: the volume of each component. Because percentages are by volume, measure with the same scoop or bucket for each part.

Bags needed: the batch rounded up to whole retail bags, which is the number of bags to put in the trolley.

Approximate weight: useful for checking whether a load is manageable, and a reminder that loam-based composts are far heavier than peat mixes.

Depth assessment: a short judgement on whether the soil depth suits seedlings, annuals, vegetables or shrubs and perennials.

Factors That Affect the Result

  • Pot taper: a tapered pot holds less than a straight-sided pot of the same rim diameter, which is why the frustum formula matters.
  • Watering gap: a 2 in gap on a shallow pot can remove a third of the soil volume, so this is not a detail to leave out.
  • Moisture and compaction: potting media settle after watering, and a densely filled pot holds less usable pore space than the same volume measured loosely.
  • Ingredient size: coarse perlite and pumice occupy more space than fine compost, so measure bulky components loosely rather than tamped down.
  • Root volume at maturity: a plant that will fill a 12 in pot needs a 12 in pot of soil, and moving up early costs more soil than staying in the same pot.
  • Recipe density: peat and coir mixes are light and water-retentive; loam-based composts are dense and hold more nutrients but weigh several times as much.

When Should You Use This Calculator?

  • Potting up: working out how much mix to mix for a tray, propagation bench or batch of cuttings.
  • Repotting a group of plants: filling ten similar pots with one batch instead of guessing bucket by bucket.
  • Bulk purchasing: comparing a 2 cu ft bag, a 4 cu ft bag and a bulk cubic yard against the job in front of you.
  • Recipe scaling: scaling a container recipe up from a five-gallon bucket to a wheelbarrow load without changing the ratio.
  • Cost planning: checking the cost of pre-bagged potting soil against mixing your own.
  • Weight checks: deciding whether to carry a load in one trip, or to use a lighter peat-based mix rather than a loam-based compost.

Assumptions & Limitations

  • Assumes containers are filled evenly to the same depth, with the roots occupying a comparable share of the volume in each pot.
  • Standard pot presets approximate real nursery pots. If the batch must be exact, measure the inside top diameter, base diameter and depth of your own pots.
  • Mixing percentages are by volume of loose ingredient, not by weight, and a dry fluffy medium packs down once wetted.
  • Weight estimates use typical bulk densities for moist media and will differ with how wet the mix is and how coarse the ingredients are.
  • Assumes a free-draining container. A pot without drainage holes holds water rather than air and needs a different medium.
  • Does not plan for seasonal changes in root volume, deep watering cycles or the extra medium needed for blocking up cuttings.

Frequently Asked Questions

Calculation Accuracy & Reference Note

The geometry is exact for the dimensions you enter. The presets follow the US nursery trade convention of naming pots by inside top diameter in inches, with heights and tapers taken from the usual trade range.

Standard Reference: University of Missouri Extension potting and planting media for containers; Cornell Controlled Environment Agriculture potting mixes; Royal Horticultural Society growing plants in containers; University of Florida IFAS Extension media facts for the landscape industry.