Volume Calculator

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.

For flat shapes — floors, walls, plots — use the area calculator; to convert between volume units directly, the unit converter.