A volume calculator computes the capacity (cubic volume) of common 3D shapes, boxes/rectangular prisms, cylinders, spheres, and cones, from their dimensions.
About this calculator
A volume calculator computes the capacity (cubic volume) of common 3D shapes, boxes/rectangular prisms, cylinders, spheres, and cones, from their dimensions. Volume calculations are needed in packaging, construction, fluid mechanics, and materials estimation.
Volume formulas: Box = l×w×h. Cylinder = π×r²×h. Sphere = (4/3)×π×r³. Cone = (1/3)×π×r²×h.
Common uses
- Calculate water tank capacity
- Determine concrete volume needed for a slab or column
- Estimate shipping box volume and dimensional weight
- Calculate volume for fluid or gas capacity planning
Frequently asked questions
Why is sphere volume maximized per surface area compared to other shapes?
The sphere has the minimum surface area for a given volume among all 3D shapes, a property called isoperimetric inequality. This is why bubbles are spherical (minimising surface tension energy), and why tanks and pressure vessels use spherical or cylindrical designs for efficiency.