What is Volume?
While Area calculates flat space, Volume measures the amount of three-dimensional space enclosed by a closed surface. Think of it as the capacity of an object—how much water it would take to completely fill a swimming pool, or how much air is inside a basketball.
Volume is universally measured in "cubic units" (such as cubic meters, cubic feet, or cubic centimeters) because you are mathematically multiplying three distinct dimensional measurements (length, width, and depth/height) together.
Common Volume Formulas
- Cube: Volume = Edge³
- Rectangular Prism (Box): Volume = Length × Width × Height
- Cylinder: Volume = π × Radius² × Height
- Sphere: Volume = 4/3 × π × Radius³
- Cone: Volume = 1/3 × π × Radius² × Height