Volume Calculator
Calculate the volume of common 3D shapes like spheres, cones, cubes, cylinders, rectangular prisms, pyramids, and more. Enter the required dimensions and get instant results with formulas.
Your Results
| Shape | Cube |
|---|---|
| Volume | 125.00 cm³ |
| Formula | V = side³ = 5³ = 125 cm³ |
Conversions:
| Unit | Volume |
|---|---|
| Cubic Centimeters | 125.00 cm³ |
| Cubic Inches | 7.63 in³ |
| Liters | 0.13 L |
| Gallons | 0.03 gal |
About Volume Calculator
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic meter.
How to Calculate Volume
This calculator uses standard formulas for each geometric shape:
- Cube: V = side³
- Sphere: V = (4/3) × π × radius³
- Cylinder: V = π × radius² × height
- Cone: V = (1/3) × π × radius² × height
- Rectangular Prism: V = length × width × height
- Pyramid: V = (1/3) × base_area × height
Unit Conversions
This calculator provides results in multiple units:
- 1 cubic centimeter (cm³) = 0.061 cubic inches (in³)
- 1 cubic inch (in³) = 16.387 cubic centimeters (cm³)
- 1 liter (L) = 1000 cubic centimeters (cm³)
- 1 gallon (gal) = 3.785 liters (L)
Applications of Volume Calculation
Volume calculations are essential in many fields:
- Construction: Calculating concrete needed for foundations or materials for containers
- Manufacturing: Determining capacity of tanks, bottles, and other containers
- Science: Measuring quantities of liquids or gases in experiments
- Cooking: Measuring ingredients for recipes
- Shipping: Calculating cargo space in trucks or containers