TryBuildCalcPot Volume Calculator (Exact Volume for Tapered and Straight-Sided Pots)
Find the true soil volume of a plant pot from its inside dimensions.
🕒 Last updated: September 24, 2026
Inputs
Containers
Applies to every container dimension and to the headspace — switching converts the figures already entered rather than reinterpreting them. Always measure the inside of a container — a thick-walled pot or planter can lose an inch or more of width to its own walls.
Container List
Add a row per size or shape — pots, window boxes and baskets can all go in one job.
Container 1
The most common pot shape. Because it narrows toward the base it holds noticeably less than a straight-sided pot of the same rim diameter — measure the INSIDE rim, the inside base, and the inside depth.
Fill Level
The more accurate option for a measured container: the mix volume is recomputed at the true fill line, so a tapered pot correctly loses its widest slice.
ℹ️The gap left between the mix and the rim so water soaks in instead of running over the side. Roughly 1 in (2-3 cm) suits a typical pot; allow more on a large planter and less on a shallow window box.
ℹ️Extra mix to cover settling after the first watering, so you are not left topping up from an empty bag. Around 10% is a reasonable allowance; enter 0 to order the bare calculated volume.
Bags & Cost Estimation
ℹ️US bags are labelled in DRY quarts (25.7 to a cubic foot, not the 29.9 a liquid-quart conversion would give); UK, EU and Australian bags are labelled in litres. Both are listed here, so pick whichever matches the bag in front of you.
Potting Mix Needed
0.51 cu ft
13.2 dry qt / 14.5 L / 0.015 m³
Bags to Buy
1
16 dry qt (≈17.6 L / 0.62 cu ft) — common potting mix bag
1 × Round tapered pot (standard flower pot)
Filled to 1" (2.5 cm) below the rim — about 87.9% of total container volume.
Container holds (filled to the brim): 13.6 dry qt (0.53 cu ft / 15 L / 3.96 US gal)
Mix in the container: 12 dry qt (0.466 cu ft / 13.2 L) — 87.9% of its volume
Geometry: Round, tapered (wider at the rim) — frustum of a cone, filled to 9.5" of 10.5" inside depth.
Volume
Total container volume (brim-full): 0.53 cu ft (13.6 dry qt / 15 L)
Mix volume at your fill level: 0.47 cu ft (12 dry qt / 13.2 L)
Order volume (+10% settling): 0.51 cu ft (13.2 dry qt / 14.5 L)
Dry quarts, not liquid quarts
US potting mix bags are labelled in dry quarts — 25.7 to a cubic foot. Your 0.51 cu ft is 13.2 dry qt. A calculator that converted with liquid quarts would tell you 15.3 qt — about 16% more mix than you need.
Assumptions Used
Each container's volume comes from the exact solid its shape describes — a cone frustum for a tapered round pot, a prismatoid for a tapered rectangular planter, a cylinder for a straight-sided pot or filled grow bag, a spherical cap for a rounded basket — computed from the inside dimensions you entered. With the headspace method the mix volume is recalculated at the true fill line, including the fill line's own width, rather than scaling the brim-full volume by a flat percentage — on a tapered container the slice left empty is its widest, so a flat percentage overstates the mix needed. Volumes are held in cubic inches throughout and converted only for display, with US quart figures in dry quarts (67.2 cu in each) to match bag labelling. A 10% settling and top-up allowance is added before the bag count, which is then rounded up to the next whole bag. This calculator estimates material quantity only — it does not assess mix recipe, drainage, fertiliser content, or whether a container suits a particular plant.
Container Fill Diagram
Container drawn to the proportions of the inside dimensions entered; mix shown at the computed fill line. Bag shading indicates how much of the last bag the order uses.
Looking for the verification checklist, reference tables, tips, or common mistakes?See the complete Potting Soil & Container Volume Calculator.
A pot's volume depends on its taper, not just its rim width
Almost every pot narrows toward its base, and because a round container's volume follows the square of its width, that taper costs more volume than it appears to. A 12 in pot tapering to a 9 in base over 10.5 in of depth holds about 915 cubic inches — 13.6 dry quarts. A 12 in cylinder of the same depth holds about 1,187 cubic inches, 30% more. Treating the first as the second is the single most common error in pot volume figures published online.
This calculator computes a tapered round pot as a cone frustum, V = (pi x h / 12) x (D² + D x d + d²), using the inside rim diameter, the inside base diameter and the inside depth. Measure inside the pot, not around it: wall thickness comes off both sides, and on a round container that error is squared too.
Potting Soil Formula & Method
Every figure is computed in cubic inches and converted only for display. Cubic inches is the natural working unit here because it is the unit the nursery container standard publishes its class volumes in, and because it converts cleanly to both dry quarts and litres.
Step 1 — Container volume, by shape
Round, straight-sided (cylinder):
V = pi x D² x h / 4
Round, tapered (cone frustum):
V = (pi x h / 12) x (D² + D x d + d²)
Rectangular, straight-sided (box):
V = L x W x h
Rectangular, tapered (prismatoid):
V = (h / 6) x [L x W + (L + l) x (W + w) + l x w]
Bowl / rounded basket (spherical cap):
V = (pi x h / 6) x (3 x (D/2)² + h²)
D, L, W = inside dimensions at the RIM
d, l, w = inside dimensions at the BASE
h = inside depth
All five are exact formulas for their solid, not approximations. The frustum reduces to the cylinder when there is no taper, and the prismatoid reduces to the box — so entering equal rim and base dimensions gives the straight-sided answer, as it should. The prismatoid form is used rather than a pyramid frustum because a planter can taper by different amounts along its length and its width, and the prismatoid rule is exact for that case too.
Step 2 — Volume of mix at the fill line
Headspace method:
filled depth h_f = h - headspace
width at fill line = base + (rim - base) x (h_f / h)
V_mix = the SAME shape formula, recomputed with
h_f and the fill-line width
Percentage method:
V_mix = V_container x fill% / 100
(the fill DEPTH is then solved back from V_mix)
This is the step most calculators skip. Scaling the brim-full volume by the depth ratio would treat the empty slice as if it were an average slice, but on a container that is wider at the rim the empty slice is the widest one. For a 12 in rim, 9 in base, 10.5 in deep pot, filling to 9.5 in gives 805 cu in, not the 828 cu in a flat depth-ratio scaling suggests — a 2.9% difference on one pot, and the same 2.9% across every pot in the order. Note also that the two methods are not interchangeable: 90% of that pot's volume sits at 9.67 in of depth, not 9.45 in.
Step 3 — Whole job, plus settling
V_row = V_mix x number of containers in the row
V_total = sum of every row
V_order = V_total x (1 + settling% / 100)
The settling allowance covers the drop in level when a fresh, air-filled mix is watered in for the first time, so you are not left topping up from an empty bag. It is a practical top-up figure rather than a cited standard — 10% is a reasonable default, and 0 gives the bare calculated volume.
Step 4 — Unit conversion, in DRY quarts
1 US dry quart = 67.200625 cu in -> 25.71 per cu ft
1 US liquid quart = 57.75 cu in -> 29.92 per cu ft
1 litre = 61.024 cu in
1 cubic foot = 1,728 cu in
1 US gallon = 231 cu in
dry qt needed = V_order / 67.200625
Bagged potting mix, garden soil and compost sold at US retailers is labelled in US dry quarts. Using liquid quarts — the conversion a general-purpose unit converter will give you — overstates the number of labelled quarts by 16.4%. The calculator reports both figures side by side so the gap is visible rather than assumed.
Step 5 — Bags and cost
bags = ROUNDUP( V_order / bag volume ) (minimum 1)
cost = bags x price per bag
The bag count rounds up because partial bags cannot be bought, and it is always computed from the unrounded order volume — rounding the volume for display first and then dividing can silently drop a bag when the true figure sits just over a whole-bag boundary. Cost follows the whole-bag count, not the volume, because that is what you actually pay.
Containers entered by trade class
V_container = ANSI Z60.2-2025 Table 1 class volume
basis = class minimum / midpoint / maximum
"true to size" reference (standard §1.1.3.4):
cu in = gallons x 231
A class is a permitted range, not a size, so there is no single correct figure to use — the basis is yours to choose. Because such a row has a published volume but no published dimensions, a headspace in inches cannot be applied to it, and the percentage fill level is used for those rows instead. The calculator states this on the row and in the results rather than mixing two fill bases silently.
Worked Example
This example walks through your current inputs above, using the same steps as the Formula section.
Input Values Used
| Input | Value |
|---|---|
| Container 1 | 1 x Round tapered pot (standard flower pot) — rim diameter 12, base diameter 9, depth 10.5 in |
| Fill Level | 1" (2.5 cm) headspace below the rim |
| Settling & Top-Up Allowance | 10% |
| Bag Size | 16 dry qt (≈17.6 L / 0.62 cu ft) — common potting mix bag |
Step 1 — Container Volume, by Shape
| Calculation | Result |
|---|---|
| (pi x 10.5 / 12) x (12² + 12 x 9 + 9²) | 915.4 cu in each (13.6 dry qt) — frustum of a cone |
| Total brim-full volume across 1 container | 915.4 cu in (0.53 cu ft) |
Step 2 — Volume of Mix at the Fill Line
| Calculation | Result |
|---|---|
| filled depth = 10.5 - 1 = 9.5 in; fill-line dia = 9 + (12 - 9) x (9.5 / 10.5) = 11.71 in, then the same frustum formula | 805 cu in of mix each — 87.9% of the container |
Step 3 — Whole Job, Plus Settling
| Calculation | Result |
|---|---|
| 805 cu in x 1 container | 805 cu in (0.47 cu ft) |
| Total mix before settling | 805 cu in (0.47 cu ft) |
| 805 x (1 + 10 / 100) | 885.5 cu in to order (0.51 cu ft) |
Step 4 — Unit Conversion, in DRY Quarts
| Calculation | Result |
|---|---|
| 885.5 / 67.200625 cu in per dry quart | 13.2 dry qt — the unit US bag labels use |
| 885.5 / 1,728 cu in per cubic foot, and / 61.024 per litre | 0.51 cu ft (14.5 L) |
| The same volume converted with LIQUID quarts (57.75 cu in) instead | 15.3 qt — about 16% more mix than the containers hold |
Step 5 — Bags and Cost
| Calculation | Result |
|---|---|
| One 16 dry qt bag | 1,075.2 cu in (17.6 L) |
| ROUNDUP(885 / 1,075) | 1 bag to buy |
Figures above are rounded for display; the real quantities are always calculated from full, unrounded values.
Therefore, 1 container need 0.51 cu ft of potting mix — 13.2 dry quarts (14.5 litres) including a 10% settling allowance — which comes to 1 bag of 16 dry qt.
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Disclaimer: This calculator provides approximate results for planning and estimation purposes only. Actual requirements may vary based on site conditions, materials, workmanship, and local building regulations. Always consult a qualified engineer, architect, or construction professional before making final decisions.