Volume Calculator

Calculate volume and surface area of various 3D geometric shapes

Quick Examples

Volume Formulas

Cube: Side³
Rectangular Prism: Length × Width × Height
Sphere: (4/3) × π × Radius³
Cylinder: π × Radius² × Height
Cone: (1/3) × π × Radius² × Height
Square Pyramid: (1/3) × Base Area × Height
Triangular Prism: (1/2) × Base × Triangle Height × Prism Height
Ellipsoid: (4/3) × π × a × b × c
Torus: 2 × π² × R × r²
Hemisphere: (2/3) × π × Radius³

Usage Instructions

• Select the type of 3D shape you want to calculate

• Enter the corresponding dimension parameters

• Automatically calculate volume and surface area

• Display calculation formulas and steps

• Support decimal input and precise calculation

• Provide quick examples for common 3D shapes

3D Geometry Knowledge

Volume: The amount of space occupied by a 3D shape

Surface Area: The total area of all surfaces of a 3D shape

π (Pi): Approximately equal to 3.14159

Unit Conversion: 1 cubic meter = 1000 cubic decimeters = 1,000,000 cubic centimeters

Similar Solids: Volume ratio equals the cube of the similarity ratio

Density Calculation: Density = Mass ÷ Volume