Volume Calculator | 3D Shape Measurement Tool
Calculate the volume and surface area of cubes, spheres, cylinders, cones, and rectangular prisms with our free online calculator. Perfect for math, engineering, and construction.
Category: Math
Volume Calculator
Calculate the volume and surface area of various 3D shapes.
Frequently Asked Questions
How do you calculate the volume of a cube?
To calculate the volume of a cube, cube the length of one edge: Volume = edge³. For example, if a cube has an edge length of 5 units, its volume is 5³ = 125 cubic units.
What is the formula for calculating a sphere's volume?
The volume of a sphere is calculated using the formula: Volume = (4/3) × π × radius³. For example, a sphere with a radius of 3 units has a volume of (4/3) × π × 3³ ≈ 113.1 cubic units.
How do you find the volume of a cylinder?
To calculate the volume of a cylinder, multiply the area of the circular base by the height: Volume = π × radius² × height. For a cylinder with radius 2 units and height 6 units, the volume is π × 2² × 6 ≈ 75.4 cubic units.
What is the relationship between volume and surface area?
Volume measures the 3D space occupied by an object (in cubic units), while surface area measures the total area of all surfaces of the object (in square units). They are related but different measurements. For shapes with the same volume, the one with the smallest surface area is the most efficient shape (usually a sphere).