Volume Calculator
A comprehensive engine for measuring three-dimensional space.
Volume Calculator
Calculate the volume of any three-dimensional shape — from a simple cube to a complex sphere or cone. Enter your dimensions and get the volume instantly with the formula shown.
How to Use This Calculator
- Select the 3D shape.
- Enter the required dimensions (all in the same unit: cm, m, inches, feet, etc.).
- Click Calculate to see volume with the formula used.
Volume Formulas
- Cube: V = s³ (s = side length)
- Rectangular prism: V = l × w × h
- Sphere: V = (4/3) × π × r³
- Cylinder: V = π × r² × h
- Cone: V = (1/3) × π × r² × h
- Triangular prism: V = ½ × b × h_triangle × l
- Pyramid (rectangular base): V = (1/3) × l × w × h
Example Calculations
- Cube (s=5 cm): V = 5³ = 125 cm³
- Sphere (r=7 in): V = (4/3) × π × 343 ≈ 1,436.8 in³
- Cylinder (r=4 m, h=10 m): V = π × 16 × 10 ≈ 502.7 m³
- Cone (r=3, h=9): V = (1/3) × π × 9 × 9 ≈ 84.8
Common Mistakes to Avoid
- Using diameter instead of radius — Sphere and cylinder formulas require the radius (r = diameter/2). Using diameter gives a value 4–8× too large.
- Mixing units — All dimensions must be in the same unit. Convert inches to feet or cm to meters before calculating.
- Confusing surface area with volume — Surface area is the total outer area (in square units). Volume is the space inside (in cubic units). See our Surface Area Calculator.
Frequently Asked Questions
How do I convert volume units?
1 ft³ = 1,728 in³ = 7.48 gallons. 1 m³ = 1,000 liters = 264.2 gallons. Use our Conversion Calculator for any unit change.
What is the volume of an irregular shape?
For irregular shapes, the water displacement method works: submerge the object in water and measure how much the water level rises. Volume of object = volume of water displaced.
How many liters fit in a rectangular tank?
Calculate volume in cm³ (1,000 cm³ = 1 liter). A 50×30×40 cm tank = 60,000 cm³ = 60 liters.
Conclusion
Volume calculations are essential in engineering, science, construction, and everyday life. Use this calculator for any 3D shape and ensure your unit consistency for accurate results.
Related: Surface Area Calculator | Area Calculator | Square Footage Calculator | Concrete Calculator
Fill Tip
When ordering gravel or soil, remember that materials "settle" or compact after placement. Adding a 10-15% buffer to your calculated volume is standard practice.
