Shape formulas
These formulas are used for the built-in shapes.
| Shape | Surface area | Volume |
|---|---|---|
| Sphere | 4*pi*r^2 | 4/3*pi*r^3 |
| Cube | 6*s^2 | s^3 |
| Cylinder | 2*pi*r*(r+h) | pi*r^2*h |
Choose a shape, enter dimensions, and calculate surface area, volume, and SA:V.
Answer
0.6
SA:V ratio
Surface area: 314.1593 um^2
Volume: 523.5988 um^3
Volume per surface area: 1.6667
Exchange category: Low surface exchange
Use the same length unit for all dimensions. Results are shown with um-style labels.
Examples
| Shape | Surface area | Volume | SA:V ratio |
|---|---|---|---|
| Sphere | 314.1593 um^2 | 523.5988 um^3 | 0.6 |
SA:V = surface area / volumeThe calculator computes surface area and volume from the selected shape, then divides surface area by volume.
| Symbol | Variable | Description |
|---|---|---|
| SA | Surface area | The outside area available for exchange. |
| V | Volume | The internal volume of the shape. |
| SA:V | Ratio | Surface area per unit volume. |
Choose a shape
Use sphere, cube, cylinder, rectangular prism, or custom values.
Enter dimensions
Keep all dimensions in the same length unit.
Read the ratio
Higher SA:V means more surface area per unit volume.
These formulas are used for the built-in shapes.
| Shape | Surface area | Volume |
|---|---|---|
| Sphere | 4*pi*r^2 | 4/3*pi*r^3 |
| Cube | 6*s^2 | s^3 |
| Cylinder | 2*pi*r*(r+h) | pi*r^2*h |
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