Choose a Solid
Select a common three-dimensional shape and enter its dimensions.
Volume Calculator
Calculate the volume of common 3D shapes and solids
How It Works
Use this calculator for capacity estimates, geometry homework, storage planning, and other three-dimensional measurements.
Outputs are unit-neutral: dimensions in feet produce cubic feet, while dimensions in centimeters produce cubic centimeters.
- Rectangular prism volume = length x width x height.
- Cylinder volume = pi x radius squared x height.
- Cone volume = pi x radius squared x height / 3.
- Sphere volume = 4/3 x pi x radius cubed.
Formulas
Rectangular prism = length x width x height
Cylinder = pi x radius^2 x height
Cone = pi x radius^2 x height / 3
Sphere = 4/3 x pi x radius^3
Storage box
4 ft x 3 ft x 2 ft rectangular prism
24 cu ft
Multiply all three perpendicular dimensions.
Tank
3 ft radius and 5 ft height cylinder
141.37 cu ft
Cylinder capacity depends on circular base area and height.
Sphere
2 m radius
33.51 cu m
Sphere volume grows quickly as radius increases.
Should I enter radius or diameter?
Enter radius for circular solids. Divide a known diameter by two before entering it.
What units does the result use?
The result is in cubed versions of the dimension unit, such as cubic feet or cubic meters.
How do I estimate a triangular prism?
The calculator multiplies triangular base area by prism length.
Does volume equal capacity?
Volume is geometric space. Practical capacity may be lower because of wall thickness, fill limits, or usable-space constraints.