Volume Formulas for Every 3D Shape (With Examples)
Published 15 November 2026 · Math
Try it nowVolume Calculator →Volume is the amount of space inside a 3D shape, measured in cubic units. Here are the formulas you need – or let the free volume calculator do the work.
| Shape | Formula | Example | Volume |
|---|---|---|---|
| Cube | s³ | s = 3 cm | 27 cm³ |
| Cuboid | l × w × h | 5 × 4 × 2 m | 40 m³ |
| Cylinder | πr²h | r = 3, h = 10 cm | 282.7 cm³ |
| Sphere | 4/3 πr³ | r = 5 cm | 523.6 cm³ |
| Cone | 1/3 πr²h | r = 3, h = 4 cm | 37.7 cm³ |
| Square pyramid | 1/3 b²h | b = 6, h = 9 m | 108 m³ |
Converting to litres
- 1,000 cm³ = 1 litre
- 1 m³ = 1,000 litres
- 1 ft³ ≈ 28.32 litres
- 1 US gallon ≈ 3.785 litres; 1 UK gallon ≈ 4.546 litres
Example: how much water in a fish tank?
A tank 60 cm × 30 cm × 35 cm holds 63,000 cm³ = 63 litres.
Tip
Always convert every measurement to the same unit before multiplying. Mixing metres and centimetres is the most common mistake.
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