Volume Calculator
Calculate the volume of cubes, spheres, cylinders, cones, and more.
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Volume Calculator
Volume Formulas for 3D Shapes
Volume is the measure of the three-dimensional space occupied by a solid object. It is expressed in cubic units (cm³, m³, in³, ft³). Volume calculations are fundamental in engineering, construction, medicine, cooking, and many scientific fields.
| Shape | Formula | Example |
|---|---|---|
| Cube | V = s³ | s=3 → 27 cubic units |
| Rectangular Box | V = l × w × h | 4×3×2 = 24 cubic units |
| Sphere | V = (4/3)πr³ | r=3 → ≈113.1 cubic units |
| Cylinder | V = πr²h | r=2, h=5 → ≈62.8 cubic units |
| Cone | V = (1/3)πr²h | r=3, h=4 → ≈37.7 cubic units |
| Pyramid | V = (1/3) × base area × h | Base 6², h=5 → 60 cubic units |
Frequently Asked Questions
What is the difference between volume and surface area?
Volume is the amount of three-dimensional space a shape occupies (measured in cubic units). Surface area is the total area of all outer faces of the shape (measured in square units). A shipping box has both: volume determines capacity; surface area determines how much cardboard is needed.
How do I convert between volume units?
1 liter = 1,000 cm³ = 0.001 m³. 1 gallon (US) ≈ 3.785 liters ≈ 231 in³. 1 ft³ = 7.481 gallons = 28.317 liters. Use our unit conversion calculator for quick conversions.
How is volume used in real life?
Volume calculations are used to determine how much liquid a container holds, how much concrete is needed for a construction project, how much air an HVAC system must condition, the capacity of shipping containers, and how much material is needed to fill a space.
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