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Fire-Pit Glass Quantity Calculator — result sheet
Estimate the volume, mass, and whole-unit count of fire glass for an annular fire-pit bed from inner and outer diameters, depth, density, and an allowance.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Ring area = π/4×(outer diameter²−inner diameter²); geometric volume = ring area×depth; order mass = volume×density×(1+waste/100); units = ceiling(order mass/bag mass).
The calculator treats the media bed as a level annulus and keeps bulk density as a product input. It estimates quantity only; burner design, ventilation, clearances, heat exposure, fuel-system approval, and the manufacturer's installation instructions are separate safety decisions.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Outer diameter — m; minimum 1.0E-6; maximum 1000000
- Inner opening diameter — m; minimum 0; maximum 1000000
- Glass-bed depth — m; minimum 1.0E-6; maximum 100000
- Bulk density — kg/m³; minimum 1.0E-6; maximum 100000
- Extra allowance — %; minimum 0; maximum 1000
- Bag or unit mass — kg; minimum 1.0E-6; maximum 100000
Worked example
| Input | Value |
|---|---|
| Outer diameter | 1.2 |
| Inner opening diameter | 0.5 |
| Glass-bed depth | 0.08 |
| Bulk density | 1500 |
| Extra allowance | 10 |
| Bag or unit mass | 10 |
The ring volume is about 0.0748 m³; with 10% allowance the order mass is about 123.37 kg, or 13 units of 10 kg.
Assumptions and limits
- The bed is a flat circular ring with one outer diameter, one inner opening, and uniform depth.
- Bulk density is the loose or placed density appropriate to the selected media and purchasing convention.
- Burner output, gas type, ventilation, clearances, thermal expansion, support, fire code, and product approval are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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