Understanding the bean bag filling calculator — concept and principle
This calculator estimates how many litres of filling beads you need for a bean bag or pouf, based on its shape, size and how full you want it. It also tells you how many bags of filling to buy.
How it is calculated
Cylinder (round pouf): V = π × d² × h ÷ 4
Box (square pouf): V = length × width × height
Ball: V = π × d³ ÷ 6
Pear (truncated cone): V = π × h × (D² + D × d + d²) ÷ 12
Litres = m³ × 1,000; filling = volume × fill level %; ft³ = litres ÷ 28.317
Bags = filling ÷ bag size, rounded up
The principle
The inner cover is treated as a simple geometric solid whose volume can be calculated from its dimensions. Bean bags are rarely filled to the top, because some room lets the beads move and shape around your body. Polystyrene (EPS) beads settle and compress over the first months, so many people top up later.
Worked example
Default inputs: round pouf, diameter 90 cm, height 60 cm, fill 70%, 100 L bags.
- Cover volume = π × 0.9² × 0.6 ÷ 4 = 0.382 m³ = 382 L.
- Filling = 382 × 0.70 = 267 L = 267.2 ÷ 28.317 = 9.44 ft³.
- Bags = 267 ÷ 100 = 2.67 → 3.
| Diameter, or length for a box (cm) | Filling needed (L) |
|---|---|
| 22.5 | 17 |
| 45 | 67 |
| 67.5 | 150 |
| 90 | 267 |
| 112 | 417 |
| 135 | 601 |
| 180 | 1,069 |
How to read the result
A firmer pouf needs a higher fill level; a lounging bean bag often works best at 60–75%. Expect to add 10–20% more beads after several months as they compress.
Common mistakes
- Measuring the outer cover instead of the inner liner.
- Filling to 100%, which makes the bag hard and uncomfortable.
- Spilling beads; fill outdoors or in a bath, as they cling with static.
Frequently asked questions
How many litres for a large bean bag?
Often 250–400 L, depending on size and fill level.
Can I use other fillings?
Yes, such as shredded foam or recycled fibre, but volume and feel differ.
Why does my bean bag go flat?
EPS beads compress with use; topping up restores the shape.
Sources: Standard geometry volumes of cylinder, box, sphere and frustum; 1 ft³ = 28.316846592 L exactly (NIST Special Publication 811)