Volume Calculator

Calculate the volume of different geometric shapes including cubes, rectangular prisms, cylinders, and spheres. Enter the required dimensions and get instant results with step-by-step calculations.

Volume Calculator

Select a shape and enter the required dimensions to calculate its volume.

Result

Real-world Applications

Construction: Calculate material volumes for building projects

Manufacturing: Determine container volumes for packaging

Engineering: Design tanks and vessels

Science: Measure volumes in laboratory experiments

Home: Plan storage solutions and renovations

Calculation Tips

  • Always use consistent units for all measurements
  • Double-check your measurements before calculating
  • Round results to appropriate decimal places
  • Consider using different shapes to approximate complex objects
  • For irregular shapes, break them down into simpler components

Common Volume Units

Metric Units

  • Cubic meters (m³)
  • Cubic centimeters (cm³)
  • Liters (L)

Imperial Units

  • Cubic feet (ft³)
  • Cubic inches (in³)
  • Gallons (gal)

What is Volume?

Volume is the amount of space occupied by a three-dimensional object. It is measured in cubic units. Different shapes have different formulas for calculating their volume.

Volume Formulas

  • Cube: V = a³ (where a is the side length)
  • Rectangular Prism: V = l × w × h (where l is length, w is width, h is height)
  • Cylinder: V = πr²h (where r is radius, h is height)
  • Sphere: V = (4/3)πr³ (where r is radius)
  • Cone: V = (1/3)πr²h (where r is base radius, h is height)
  • Capsule: V = πr²h + (4/3)πr³ (where r is radius, h is height)
  • Square Pyramid: V = (1/3)a²h (where a is base edge, h is height)
  • Hollow Tube: V = πh(R² - r²) (where R is outer radius, r is inner radius, h is height)
  • Ellipsoid: V = (4/3)πabc (where a, b, c are semi-axes)
  • Conical Frustum: V = (1/3)πh(R² + r² + Rr) (where R is bottom radius, r is top radius)