Calculate volume in cubic meters and liters
Choose a solid shape and enter its measurements. You get the volume in cubic meters and liters with working that shows how the measurements are used.
No connection. Your numbers have been kept. Please try again.
No connection. Your numbers have been kept. Please try again.
Worked example
- Shape: Box
- Length: 6 ft
- Width: 8 ft
- Height: 10 ft
Result
Volume
480 ft³
Working
- V = l × b × h
6 ft × 8 ft × 10 ft = 480 ft³
What does the volume tell you?
Volume describes how much space a three-dimensional shape takes up. You can use it for a container, a geometric model or a quantity of material. For a container, use the inside measurements if you want to know the space inside.
The calculator can use measurements in mm, cm and m as well as inches, feet and yards. The volume is shown in cubic meters and liters, or in cubic feet, cubic inches, cubic yards or US gallons. 1 m³ equals 1,000 liters. Cubic units are used because the calculation covers three dimensions, for example length, width and height.
Formulas for the different shapes
A box is calculated with V = l × b × h. If you already know the base area, you can choose area times height. For a cylinder, V = π × r² × h is used, and for a sphere, V = 4 × π × r³ / 3.
The formula for a cone is V = π × r² × h / 3. A pyramid is calculated with V = A × h / 3, where A is the base area. For a triangular prism the formula is V = (b × h / 2) × L. Here b and h describe the triangular cross-section, while L is the length of the prism.
Example of the volume of a box
A box measures 2 m by 3 m by 4 m. The base area is 2 m × 3 m = 6 m². Multiplied by the height, the volume is 6 m² × 4 m = 24 m³. Converted to liters, that is 24 × 1,000 = 24,000 liters.