Volume Calculator: The Complete Guide to 3D Shape Volumes
Calculate the volume of cubes, spheres, cylinders, cones, and more. Complete guide with formulas, examples, and applications.
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Volume — the amount of three-dimensional space occupied by an object — is one of the most fundamental measurements in mathematics, science, and everyday life. Whether you're filling a swimming pool, designing a building, or cooking a meal, understanding volume is essential.
What Is Volume?
Volume is a three-dimensional measurement expressed in cubic units (cm³, m³, in³, ft³, liters). It quantifies how much space an object occupies or how much a container can hold.
Volume Formulas for Common Shapes
Cube
Where s is the side length.
Sphere
Where r is the radius.
Cylinder
Where r is the radius and h is the height.
Cone
A cone has one-third the volume of a cylinder with the same base and height.
Rectangular Prism
Where l, w, h are length, width, and height.
Unit Conversion
Common volume conversions: 1 m³ = 1000 L, 1 cm³ = 1 mL, 1 in³ = 16.387 cm³, 1 ft³ = 28.317 L.
Applications
Volume calculations are used in construction, cooking, shipping, manufacturing, medicine, and countless other fields.