Volume Calculator
Calculate the volume of common 3D shapes — cube, rectangular prism, sphere, cylinder, cone, and pyramid.
Results
What is it?
Volume is the amount of 3D space occupied by a solid, measured in cubic units. Formulas: Cube = s³; Rectangular Prism = l × w × h; Sphere = (4/3)πr³; Cylinder = πr²h; Cone = (1/3)πr²h; Pyramid = (1/3) × base area × h.
How to use
Select a 3D shape, then enter the required dimensions. Dimension 1 is always the primary measurement (side, radius, or length). Dimension 2 and 3 apply only to shapes that require width and height. For Cube and Sphere, only Dimension 1 is used.
Example scenario
A shipping box (rectangular prism) 40 cm × 30 cm × 20 cm = 24,000 cm³ = 24 litres. A basketball with radius 12 cm: (4/3)π × 12³ ≈ 7,238 cm³. An ice cream cone (cone) with radius 3 cm and height 10 cm: (1/3)π × 9 × 10 ≈ 94.2 cm³.
Pro tip
Archimedes discovered that the volume of a sphere equals exactly two-thirds the volume of its circumscribed cylinder (same radius and height = 2r). For packing and shipping, the cone volume is exactly one-third of its enclosing cylinder — hence why "fill it one-third full" advice works for cone-shaped vessels. 1 litre = 1,000 cm³ = 0.001 m³.