Geometry
Volume Calculator
Find volume, fill level, and estimated filled weight for 3D shapes.
Result
Enter your numbers and press Calculate to see the result.
Calculating…
How volume is calculated
Choose a shape and enter its dimensions in meters. The calculator applies the standard solid-geometry formula, shows the result in the volume unit you pick — liters, US gallons, cubic meters, cubic feet — and estimates filled weight from the fill level and density you enter (water, 1,000 kg/m³, by default).
Formulas
Box: V = length × width × height
Cube: V = side³
Cylinder: V = π × radius² × height
Sphere: V = 4/3 × π × radius³
Cone: V = π × radius² × height ÷ 3
Filled volume = total volume × fill level%
Filled weight = filled volume × density
Worked examples
- Box 1.2 × 0.8 × 0.6 m — 0.576 m³ = 576 liters; at 100% fill with water it weighs ≈ 576 kg.
- Cylinder, radius 0.5 m, height 1 m — π × 0.25 ≈ 0.785 m³ ≈ 207 US gallons.
- Sphere, radius 0.5 m — 4/3 × π × 0.125 ≈ 0.524 m³ = 524 liters.
Where filled volume and weight help
- Aquariums and ponds — litres of water, and the load on the floor or stand once filled.
- Tanks and containers — capacity of a cylindrical or rectangular tank at a given fill level.
- Pools — the water volume that sets dosing for chemicals and heating cost.
- Shipping and storage — the space a box occupies, and its weight when packed.
Density changes the weight
Volume and weight are only equal-looking for water, where 1 litre weighs about 1 kg. Other substances differ a lot: petrol is roughly 0.74 kg/litre, milk about 1.03, and honey around 1.42. Set the density field to match what actually fills the shape and the calculator adjusts the filled weight accordingly — useful for fuel, food, or any liquid that is lighter or heavier than water.
Density of common materials
The density field is what turns a volume into a weight. These are typical values in kilograms per litre, which is the same number as tonnes per cubic metre — a 1 m³ bag of dry sand at 1.60 kg/L weighs 1.60 tonnes.
| Material | kg per litre | Material | kg per litre |
|---|---|---|---|
| Air (sea level) | 0.0012 | Fresh water | 1.00 |
| Petrol / gasoline | 0.74 | Sea water | 1.03 |
| Ethanol | 0.79 | Milk | 1.03 |
| Diesel | 0.84 | Wet sand | 1.92 |
| Olive oil | 0.92 | Honey | 1.42 |
| Ice | 0.92 | Dry sand | 1.60 |
| Pine wood | 0.50 | Gravel | 1.68 |
| Oak wood | 0.75 | Topsoil | 1.30 |
| Portland cement | 1.44 | Concrete | 2.40 |
| Aluminium | 2.70 | Steel | 7.85 |
Two cautions. Loose materials — sand, gravel, soil, cement powder — are quoted as bulk density, which includes the air between the grains, and it changes with moisture and compaction; wet sand is around 20% heavier than dry. And ice floats because it is less dense than the water it froze from, which is also why a full sealed container can burst in a freezer.
Cubic inches to cc, litres, and millilitres
Cubic centimetres and millilitres are the same size — 1 cc is exactly 1 ml — which is why engine displacement and medicine doses use the terms interchangeably. Cubic inches convert with a single exact factor:
1 cubic inch = 16.387064 cc (ml)
| Cubic inches | cc / ml | Litres |
|---|---|---|
| 1 in³ | 16.39 cc | 0.0164 L |
| 60 in³ | 983 cc | 0.98 L |
| 122 in³ | 2,000 cc | 2.0 L |
| 350 in³ | 5,735 cc | 5.7 L |
This is how a 350 cubic-inch V8 becomes a 5.7-litre engine — the same volume in two measuring systems.
For flat shapes — floors, walls, plots — use the area calculator; to convert between volume units directly, the unit converter.
Volume Calculator — frequently asked questions
How do I calculate the volume of a box?
Multiply length by width by height: V = l × w × h. A 1.2 m × 0.8 m × 0.6 m box holds 0.576 cubic meters, or 576 liters.
How do I calculate the volume of a cylinder?
Square the radius, multiply by π and the height: V = πr²h. A tank with a 0.5 m radius and 1 m height holds π × 0.25 × 1 ≈ 0.785 m³, about 785 liters.
What is the estimated filled weight?
It multiplies the volume by the density you enter (1,000 kg/m³ for water by default). A 0.5 m³ container filled with water weighs about 500 kg.
How many liters are in a US gallon?
One US gallon is exactly 3.785411784 liters. The calculator can show any result in gallons, liters, milliliters, cubic inches, cubic feet, or cubic meters.