3D Volume Calculator - Free Online Cube, Sphere, Cylinder & Cone Calculator
3D Volume Calculator
Calculate the volume and surface area of common 3D shapes. Select a shape and enter its dimensions.
Select 3D Shape
Cube Dimensions
How to use this calculator
📦 How to Use the 3D Volume Calculator
- Select a 3D shape from the available options
- Enter the required dimensions for your selected shape
- Choose your preferred unit of measurement
- Click "Calculate Volume & Surface Area" to see results
- View the visual representation and all calculated properties
📏 3D Shape Formulas
Cube
Volume: V = s³
Surface Area: SA = 6s²
Sphere
Volume: V = (4/3)πr³
Surface Area: SA = 4πr²
Cylinder
Volume: V = πr²h
Surface Area: SA = 2πr(r + h)
Cone
Volume: V = (1/3)πr²h
Surface Area: SA = πr(r + l)
Rectangular Prism
Volume: V = l × w × h
Surface Area: SA = 2(lw + wh + hl)
Square Pyramid
Volume: V = (1/3)b²h
Surface Area: SA = b² + 2bl
🌟 Real-World Examples
Example 1: Water Tank (Cylinder)
A cylindrical water tank with radius 2m and height 3m holds 37.7 cubic meters of water.
Example 2: Basketball (Sphere)
A standard basketball with radius 12cm has a volume of 7,238 cm³ and surface area of 1,809 cm².
Example 3: Shipping Box (Rectangular Prism)
A box measuring 30×20×15 cm has a volume of 9,000 cm³ and requires 2,700 cm² of material.
Example 4: Ice Cream Cone
A cone with radius 3cm and height 10cm holds 94.2 cm³ of ice cream.
💡 Pro Tips
- • Volume is always in cubic units (m³, cm³, etc.)
- • Surface area is in square units (m², cm², etc.)
- • For containers, volume tells you capacity
- • Surface area tells you how much material is needed
- • Spheres have the smallest surface area for a given volume
- • Always use consistent units for all measurements
⚠️ Common Mistakes to Avoid
- • Don't mix different units (e.g., cm and m) in the same calculation
- • Remember that volume uses cubic units, not square units
- • For cones and pyramids, the height is perpendicular to the base
- • Slant height is different from vertical height
- • Check that your answer makes sense - volume should be positive
About this calculator
Calculate volume and surface area of 3D shapes including cubes, spheres, cylinders, cones, and pyramids. Free calculator with visual diagrams.
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