Microscopy & measurement · SL/HL
Surface Area to Volume Ratio Calculator
Choose a simple shape and enter its dimensions using one consistent length unit.
Your values
Start with the example or enter your own values. Use a dot for decimals and e for scientific notation.
Calculated locally. No account or input upload.
Result & working
ExampleThe calculator is loading. The worked example is also shown below.
Step-by-step working
The formula
cube: SA = 6a², V = a³
sphere: SA = 4πr², V = 4πr³/3
cylinder: SA = 2πr² + 2πrh, V = πr²h
SA:V = SA/V
| Symbol | Meaning |
|---|---|
| SA | Surface area. |
| V | Volume. |
When to use this calculator
SA:V is a geometric comparison; biological exchange also depends on membranes, gradients, transport and metabolic demand.
Worked example
The page opens with these example values. The result below is pre-generated for reference.
- SA = 6a² = 6 × 2² = 24 µm²
- V = a³ = 2³ = 8 µm³
- SA/V = 24 / 8 = 3 µm⁻¹
SA:V = 3:1
Common mistakes
- Do not compare SA and V before accounting for their different dimensions.