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Volume Calculator

Calculate the volume of various 3D shapes including cubes, spheres, cylinders, cones, and more. Get instant results with step-by-step formulas.

Select a 3D Shape

🧊
Cube
Sphere
🥫
Cylinder
🍦
Cone
📦
Rectangular Prism
Formula
Volume = Side³

How to Use the Volume Calculator

1. Select 3D Shape

Choose the three-dimensional shape you want to calculate volume for from the available options.

2. Enter Dimensions

Input the required measurements for your selected shape (side length, radius, height, etc.).

3. View Results

See the calculated volume instantly and the mathematical formula used for the calculation.

4. Switch Shapes

Easily switch between different 3D shapes to calculate volumes for various geometric figures.

Understanding Volume Calculations

Common Volume Formulas

Cube: Volume = Side³

Sphere: Volume = (4/3) × π × r³

Cylinder: Volume = π × r² × h

Cone: Volume = (1/3) × π × r² × h

Rectangular Prism: Volume = Length × Width × Height

Units of Measurement

Volume is measured in cubic units. Common units include cubic meters (m³), cubic feet (ft³), cubic inches (in³), and cubic centimeters (cm³).

Key Concepts

Radius (r): Distance from center to edge of circular shapes

Height (h): Vertical distance from base to top

π (Pi): Mathematical constant approximately equal to 3.14159

Practical Applications

Volume calculations are used in construction, engineering, manufacturing, packaging, fluid dynamics, and many other fields where 3D space measurement is important.

Tips for Accuracy

• Use consistent units for all measurements
• Measure carefully and double-check your inputs
• For complex shapes, break them down into simpler shapes
• Remember that volume is always positive

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