Volume Calculator📦
Calculate the volume of common 3D shapes instantly with this free Volume Calculator.
Find the volume of cubes, rectangular prisms, cylinders, spheres, cones, pyramids, and more using simple measurements.
The calculator supports both metric and imperial units and provides accurate results with the correct geometric formulas.
Select a 3D shape and enter measurements to calculate volume.
What is a Volume Calculator?
A volume calculator is a mathematical tool used to determine the total 3D space enclosed within a solid object or container. Unlike area (which measures flat, 2D surfaces), volume measures capacity. This is critical in construction for calculating concrete pours, in logistics for determining shipping capacity, and in fluid dynamics for calculating the liter or gallon capacity of tanks and pools.
Volume Formulas for Common 3D Shapes
Different shapes use specific mathematical formulas to calculate their volume. Our calculator automatically applies these precise formulas based on the geometry you select:
| Shape | Volume Formula |
|---|---|
| Rectangular Prism | Length × Width × Height |
| Cube | Side³ |
| Sphere | (4/3) × π × r³ |
| Cylinder | π × r² × h |
| Cone | (1/3) × π × r² × h |
| Pyramid | (1/3) × Base Area × Height |
| Capsule | π × r² × (4/3 r + h) |
| Ellipsoid | (4/3) × π × a × b × c |
| Frustum of Cone | (1/3) × π × h × (R² + Rr + r²) |
| Frustum of Pyramid | (1/3) × h × (A² + Aa + a²) |
Common Volume Unit Conversions
When calculating volume, you often need to convert between solid cubic units (like cubic meters) and liquid capacity units (like liters or gallons). Here are standard conversions based on Cubic Meters and Cubic Feet:
| Base Unit | Conversion Equivalent |
|---|---|
| 1 Cubic Meter (m³) | 1,000 Liters (L) |
| 1 Cubic Meter (m³) | 264.172 US Gallons (gal) |
| 1 Cubic Meter (m³) | 35.3147 Cubic Feet (ft³) |
| 1 Cubic Foot (ft³) | 28.3168 Liters (L) |
| 1 Cubic Foot (ft³) | 7.48052 US Gallons (gal) |
| 1 Liter (L) | 1,000 Cubic Centimeters (cm³) |
Free Volume Calculator
Whether you are calculating the capacity of a shipping box, the volume of a water tank, or solving complex geometry problems, our free Volume Calculator provides instant, highly accurate results. We support a wide variety of 3D shapes and allow you to seamlessly switch between Metric and Imperial measurement units.
How to Use the Volume Calculator
- Choose your unit: Select your preferred measurement unit from the dropdown, including Metric (meters, centimeters, etc.) or Imperial (inches, feet, yards, etc.).
- Select your shape: Choose from a 3D box, cube, sphere, cylinder, cone, pyramid, capsule, or hemisphere from the dropdown menu.
- Enter the dimensions: Input the required measurements (such as length, width, height, or radius) based on the 3D shape you selected.
- Click "Calculate Volume": Our tool will instantly process the math and display the total volume accurately formatted in your chosen cubed units.
- Clear and repeat: Use the "Clear" button to quickly reset the calculator for your next calculation.