How do you convert cubic feet to tons for a mineral powder?

Multiply usable volume (ft³) by bulk density (lb/ft³) to get pounds, then divide by 2000. With a 5,000 ft³ silo at 85% fill and 75 lb/ft³, usable volume is 4,250 ft³, which is 318,750 lb or 159.375 tons.

What is a fill factor and why is it less than 100%?

The fill factor accounts for the usable fraction of a vessel — head space, rat-holing, cone dead volume, and the safety margin you leave below the high-level sensor. At 85% of a 5,000 ft³ silo you only count 4,250 ft³ as recoverable tonnage.

Why do tapped and loose bulk density give different tonnage?

Tapped density packs particles tighter, so the same vessel holds more tons. If you load against a poured density but the powder settles to tapped, your reconciled tonnage will read higher than the conversion predicted.

How is handling cost calculated here?

It multiplies the converted tonnage by your per-ton conversion or handling rate. For 159.375 tons at $1.25/ton, the handling cost is $199.22.

Bulk density vs particle density — what is the difference?

Particle (true) density is the solid grain density. Bulk density includes the air voids between particles, so it is always lower — and bulk density is the one you need for volume-to-tonnage conversion.

What bulk density should I use for silica sand or ground limestone?

Dry silica sand runs roughly 90-100 lb/ft³ and ground limestone around 80-95 lb/ft³, but always use your own measured loose density because moisture and grind change it; the calculator uses whatever value you enter.

Industrial Minerals & Powder Processing calculator

Bulk Density Conversion Calculator

Bulk density conversion turns a known storage volume (a silo, bin, hopper, or rail-fed bunker) into the actual tonnage of mineral powder it holds, then into a handling cost. Plant managers, inventory controllers, and logistics planners at lime, gypsum, silica, and bentonite operations rely on it because volume is easy to measure but tonnage is what gets sold, shipped, and reconciled. Loose bulk density varies widely between materials and even within a material as moisture and packing change, so a clean conversion prevents overstating inventory or short-loading a customer. The handling-cost output ties the physical tonnage to the per-ton conversion charge so you can see the dollar impact of a fill in one pass.

What this calculator does

Convert between volume (cubic feet or cubic meters) and weight (tons or pounds) for mineral powders and aggregates using bulk density, for silo sizing, truck loading, hopper volume, or storage planning.
Use it when a bulk handling engineer, plant manager, or logistics coordinator needs to convert silo volume to tons, calculate truck payload from volume, or verify hopper capacity for a specific mineral product.
It converts container volume to net tons using bulk density and a fill factor, then multiplies tonnage by the per-ton handling cost.

Formula used

Usable volume = container volume x fill factor / 100
Weight in tons = usable volume x bulk density / 2000
Handling cost = weight in tons x cost per ton

Inputs explained

Container or storage volume:
Bulk density of material:
Fill factor or derating:
Conversion or handling cost per ton:

How to use the result

Use it when reconciling silo or bin inventory, estimating a load before weighing, or pricing the handling on a known volume of powder.
Loose (poured) bulk density differs from tapped or compacted density by 10-40%, so a single density figure can misstate tonnage if the material has settled or been aerated.

Current U.S. benchmarks

Steel mill PPI stands at 348.53 (BLS, May 2026), up 6.7% from a year earlier. New factory orders are up 2.3% year over year (Census).

Common questions

How do you convert cubic feet to tons for a mineral powder? Multiply usable volume (ft³) by bulk density (lb/ft³) to get pounds, then divide by 2000. With a 5,000 ft³ silo at 85% fill and 75 lb/ft³, usable volume is 4,250 ft³, which is 318,750 lb or 159.375 tons.
What is a fill factor and why is it less than 100%? The fill factor accounts for the usable fraction of a vessel — head space, rat-holing, cone dead volume, and the safety margin you leave below the high-level sensor. At 85% of a 5,000 ft³ silo you only count 4,250 ft³ as recoverable tonnage.
Why do tapped and loose bulk density give different tonnage? Tapped density packs particles tighter, so the same vessel holds more tons. If you load against a poured density but the powder settles to tapped, your reconciled tonnage will read higher than the conversion predicted.
How is handling cost calculated here? It multiplies the converted tonnage by your per-ton conversion or handling rate. For 159.375 tons at $1.25/ton, the handling cost is $199.22.
Bulk density vs particle density — what is the difference? Particle (true) density is the solid grain density. Bulk density includes the air voids between particles, so it is always lower — and bulk density is the one you need for volume-to-tonnage conversion.

Last reviewed 2026-05-12.