Volume Calculator
Calculate volume of various 3D shapes.
Shape Dimensions
Volume Result
Volume
125.00
cubic units
Shape
cube
Formula:
V = l³ = 5³ = 125.00
About This Calculator
The Volume Calculator helps you calculate the volume of various 3D shapes including cubes, rectangular prisms, cylinders, spheres, cones, and pyramids. Volume is the amount of space occupied by a three-dimensional object.
Simply select the shape you want to calculate, enter the required dimensions, and the calculator will automatically compute the volume using the appropriate formula. All calculations use standard geometric formulas.
Formula & Calculation Method
Volume Formulas:
Cube: V = l³
Rectangular Prism: V = l × w × h
Cylinder: V = πr²h
Sphere: V = (4/3)πr³
Cone: V = (1/3)πr²h
Pyramid: V = (1/3) × l × w × h
Where V is volume, l is length, w is width, h is height, r is radius, and π (pi) is approximately 3.14159. All measurements should be in the same units, and the result will be in cubic units.
How to Use This Calculator
- Select Shape: Choose the 3D shape you want to calculate.
- Enter Dimensions: Input the required measurements (length, width, height, radius).
- View Results: See the calculated volume and the formula used.
- Units: Ensure all measurements are in the same units (e.g., all in cm or all in inches).
Frequently Asked Questions
What is volume?
Volume is the amount of three-dimensional space occupied by an object. It is measured in cubic units such as cubic centimeters (cm³), cubic meters (m³), or cubic inches (in³).
How do I convert between volume units?
To convert volume units, you need to know the conversion factors. For example: 1 m³ = 1,000,000 cm³, 1 L = 1,000 cm³, 1 gallon = 3.78541 L. Multiply or divide by the appropriate conversion factor.
Can I calculate volume for irregular shapes?
This calculator handles regular geometric shapes. For irregular shapes, you might need to use displacement methods (water displacement) or break the shape into smaller regular shapes and sum their volumes.
What is the difference between volume and surface area?
Volume measures the space inside a 3D object, while surface area measures the total area of all surfaces of the object. Volume is in cubic units, surface area is in square units.
Expert Reviewed
This calculator was reviewed by NumCalculators Editorial Team, Multi-disciplinary Expert Team