3D Volume Calculator

About the 3D Volume Calculator

The 3D Volume Calculator is a free online tool that allows you to quickly calculate the volume of common 3D geometric shapes. By entering dimensions with units, you can determine the volume in m³. This is essential for engineering, construction, design, and material estimation tasks.

What You Can Calculate

• Volume of cubes, rectangular tanks (prisms), spheres, and cylinders.
• Volume of cones, capsules, spherical caps, conical frustums, ellipsoids, square pyramids, and tubes.
• Accurate measurements for construction, manufacturing, fluid capacity, and material planning.

Formulas Used

The calculator applies standard geometric formulas for volume:

• Cube: V = a³
• Rectangular Tank/Prism: V = l × w × h
• Sphere: V = 4/3 × π × r³
• Cylinder: V = π × r² × h
• Cone: V = 1/3 × π × r² × h
• Capsule: V = π × r² × h + 4/3 × π × r³
• Spherical Cap: V = 1/3 × π × h² × (3R - h)
• Conical Frustum: V = 1/3 × π × h × (R₁² + R₁ × R₂ + R₂²)
• Ellipsoid: V = 4/3 × π × a × b × c
• Square Pyramid: V = 1/3 × a² × h
• Tube: V = π × h × (R² - r²)

How to Use the Calculator

1. Select the shape from the dropdown menu.
2. Enter the required dimensions with appropriate units (m, cm, or mm).
3. The calculator instantly displays the volume in your chosen units.
4. Ensure all relevant dimensions are provided for accurate results, such as height, width, or radius.

Applications of Volume Calculations

Volume calculations are widely used in engineering, construction, manufacturing, and design. Key applications include:

• Estimating material quantities for tanks, containers, and storage systems.
• Designing structural components and 3D objects.
• Performing geometry exercises and visualizing 3D shapes.
• Planning and optimizing manufacturing processes that require precise volume measurements.