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About

Estimating the correct amount of substrate for container gardening is essential to minimize waste and ensure adequate root space. This tool computes the exact volume required for various container geometries, including cylinders, rectangular prisms, and frustums (tapered pots). Accurate volume calculation allows for the precise dosing of amendments and fertilizers, which are typically prescribed in grams per liter or cubic foot.

Different soil types possess varying bulk densities. Peat moss is light and airy, while loam or sandy mixtures are significantly heavier. This calculator adjusts for these density factors when estimating the weight of the fill, helping gardeners determine if a balcony or shelf can support the final planted weight.

gardening tools soil volume fertilizer calculator horticulture plant care

Formulas

The volume V depends on the container shape. For a standard tapered flower pot (Frustum), the volume is calculated as:

V=πh3(
R2+Rr+r2
)

Where R is the top radius, r is the bottom radius, and h is the height. For rectangular containers:

V=l×w×h

Fertilizer requirements F are derived from the manufacturers' concentration ratio C (e.g., grams per liter):

F=V×C

Reference Data

MaterialDensity (kg/L)Density (lbs/ft³)Common Use
Peat Moss (Dry)0.1 - 0.26 - 12Seed starting, acidic mix
Potting Mix (Standard)0.35 - 0.4522 - 28General container plants
Garden Soil (Loam)1.2 - 1.375 - 81Raised beds
Compost (Moist)0.5 - 0.731 - 44Organic amendment
Perlite0.03 - 0.12 - 6Aeration additive
Sand (Dry)1.6100Drainage, cactus mix
Clay Pebbles (LECA)0.3 - 0.419 - 25Hydroponics

Frequently Asked Questions

Measure the diameter at the very top rim (inside edge), the diameter at the bottom base, and the vertical height (depth). Do not measure the slant height along the side.
Yes. Most fluff-packed potting mixes will settle by 15-20% after the first thorough watering. It is advisable to overfill slightly or add a second layer after the initial watering to reach the desired level.
Wet soil is extremely heavy. A large 50-liter planter can weigh over 40kg (90lbs) when saturated. This calculator helps ensure that balconies, shelves, or hanging hooks are structurally capable of holding the plant.