Find the volume of a cube, box, sphere, cylinder or cone.
Calculated locally in your browser.
How do you calculate the volume of a 3D shape?
By shape: cube = side³; box = length × width × height; sphere = 4⁄3 · π · r³; cylinder = π · r² · h; cone = ⅓ · π · r² · h. Keep every measurement in the same unit; the result is in cubic units. A box 2 × 3 × 4 has volume 24, and a sphere of radius 3 holds about 113.1 cubic units.
Understanding your result
Volume measures the space a shape encloses, in cubic units of whatever length unit you use. For round shapes the radius is half the diameter, and a cone holds exactly one third of the cylinder with the same base and height. Keep every measurement in the same unit for a correct result.
Formula and method
Cube: side³. Box: length × width × height. Sphere: 4⁄3 · π · r³. Cylinder: π · r² · h. Cone: ⅓ · π · r² · h.
Worked example
A box 2 × 3 × 4 has a volume of 24 cubic units. A sphere of radius 3 has 4⁄3 · π · 3³ ≈ 113.1 cubic units.
How to use this tool
- Choose the shape.
- Enter the required measurements in the same unit.
- Read the volume and the formula used.
Common mistakes to avoid
- Using diameter where the radius is required.
- Mixing units, such as centimetres with metres.
- Confusing volume (cubic units) with surface area (square units).
About the Volume Calculator
The Volume Calculator finds the space inside common 3D shapes — a cube, rectangular box, sphere, cylinder or cone — from their measurements, and shows the formula it used.
Who should use this tool
Students, makers, builders and anyone working out capacity or material.
Benefits
- Five common shapes in one tool.
- Shows the formula and worked steps.
- Results in cubic units that match your input.
- Private — calculated entirely in your browser.
Practical use cases
- Finding the capacity of a tank or container.
- Estimating concrete, water or fill needed.
- Checking geometry homework.
Frequently asked questions
What units is the volume in?
Cubic units of whatever length unit you enter — centimetres give cubic centimetres (millilitres), metres give cubic metres.
Do I use radius or diameter?
Use the radius, which is half the diameter, for spheres, cylinders and cones.
Why is a cone a third of a cylinder?
A cone with the same base radius and height as a cylinder holds exactly one third of its volume, which is why the formula divides by three.