Volume Calculator
Calculate volumes for various geometric shapes. Fill in the required dimensions and click calculate.
Sphere Volume Calculator
Cone Volume Calculator
Cube Volume Calculator
Cylinder Volume Calculator
Rectangular Tank Volume Calculator
Capsule Volume Calculator
Spherical Cap Volume Calculator
Please provide any two values below to calculate.
Conical Frustum Volume Calculator
Ellipsoid Volume Calculator
Square Pyramid Volume Calculator
Tube Volume Calculator
Understanding Volume
Volume is the quantification of the three-dimensional space a substance occupies. The SI unit for volume is the cubic meter (m³). By convention, the volume of a container is typically its capacity, and how much fluid it is able to hold, rather than the amount of space that the actual container displaces.
Volumes of many shapes can be calculated by using well-defined formulas. In some cases, more complicated shapes can be broken down into simpler aggregate shapes, and the sum of their volumes is used to determine total volume. The volumes of other even more complicated shapes can be calculated using integral calculus if a formula exists for the shape's boundary.
Common Volume Units
| Unit | Cubic Meters | Milliliters |
|---|---|---|
| milliliter (cubic centimeter) | 0.000001 | 1 |
| cubic inch | 0.00001639 | 16.39 |
| pint | 0.000473 | 473 |
| quart | 0.000946 | 946 |
| liter | 0.001 | 1,000 |
| gallon | 0.003785 | 3,785 |
| cubic foot | 0.028317 | 28,317 |
| cubic yard | 0.764555 | 764,555 |
| cubic meter | 1 | 1,000,000 |
| cubic kilometer | 1,000,000,000 | 10¹⁵ |
Related Calculators
Volume Calculation Quick Facts
- •Volume measures 3D space occupied by an object
- •The SI unit is cubic meter (m³)
- •1 liter equals 0.001 cubic meters
- •For liquids, volume is often measured in milliliters or liters
- •Density = Mass ÷ Volume
Frequently Asked Questions
What's the difference between volume and capacity?
Volume refers to the amount of space an object occupies, while capacity refers to the amount a container can hold. For example, a bottle has a certain volume (the space its material occupies) and a certain capacity (how much liquid it can contain).
How do I convert between different volume units?
To convert between volume units, you need to know the conversion factors. For example, 1 cubic meter equals 1000 liters. Our calculator provides a conversion table for common volume units. Always ensure you're using consistent units when performing calculations.
Why are there different formulas for different shapes?
Different shapes have different geometric properties that determine how their volume is calculated. For regular shapes like cubes and spheres, the formulas are derived from their symmetrical properties. More complex shapes may require integration or decomposition into simpler shapes for volume calculation.
How accurate are these volume calculations?
The calculations are mathematically precise for perfect geometric shapes. In real-world applications, the accuracy depends on how closely the actual object matches the ideal shape and how precisely you can measure its dimensions. For irregular shapes, approximation methods may be needed.
Can I calculate volume if I only know the weight and material?
Yes, if you know the material's density (mass per unit volume), you can calculate volume using the formula: Volume = Mass ÷ Density. Density values for common materials can be found in reference tables. This method works best for homogeneous materials.