Baroch tools

Volume Calculator

Calculate volume of 3D shapes with formulas and visual guides

Select 3D Shape to Calculate Volume

Cube
Rectangular Prism
Sphere
Cylinder
Cone
Pyramid
Ellipsoid
Torus
Cube Volume Formula
Volume = side³

How to Use the Volume Calculator

3D Shapes

Calculate volumes of cubes, spheres, cylinders, cones, and more.

Example: 5m³ cube = 125 m³ volume

Multiple Units

Support for meters, feet, inches, centimeters, and millimeters.

Feature: Results in cubic units with conversions

Formulas & Visuals

See mathematical formulas and 3D visual representations.

Educational: Learn 3D geometry while calculating

Engineering Use

Perfect for engineering, construction, and manufacturing.

Applications: Material calculations, capacity planning

Common Volume Formulas

Basic Shapes

  • Cube: side³
  • Rectangular Prism: length × width × height
  • Sphere: (4/3) × π × radius³
  • Cylinder: π × radius² × height

Advanced Shapes

  • Cone: (1/3) × π × radius² × height
  • Pyramid: (1/3) × base area × height
  • Ellipsoid: (4/3) × π × a × b × c
  • Torus: 2 × π² × R × r² (R=major, r=minor)

Frequently Asked Questions

1. What's the difference between area and volume?

Area measures 2D surface space (square units), while volume measures 3D space inside objects (cubic units).

2. How do I calculate volume of irregular shapes?

Break irregular shapes into combinations of regular shapes, or use approximation with the closest matching regular shape.

3. Can I use this for liquid capacity calculations?

Yes! Volume calculations work for both solid objects and liquid capacity. Results can be converted to liters, gallons, etc.

4. How accurate are the π calculations?

We use the JavaScript Math.PI constant, which provides high precision for all practical applications.

5. What units are supported for volume results?

Results are shown in cubic units: m³, ft³, in³, cm³, mm³. We also provide conversions to common units like liters.

6. How do I calculate concrete volume needed?

Use rectangular prism for slabs, or cylinder for columns. Add 5-10% extra for waste and variations.

7. Can I calculate tank capacity?

Yes! Use cylinder for round tanks, rectangular prism for square tanks. Subtract wall thickness if needed.

8. What's the difference between radius and diameter?

Radius is from center to edge, diameter is across the full width. Radius = Diameter ÷ 2.

9. How do I convert cubic meters to liters?

1 cubic meter = 1,000 liters. Multiply your m³ result by 1,000 to get liters.

10. Are these formulas used in engineering?

Yes, these are standard geometric formulas used in engineering, architecture, manufacturing, and construction.