This geometry calculator finds surface area, volume, and surface-area-to-volume ratio for 13 common solids.
Math
Surface Area to Volume Ratio Calculator
Calculate surface area, volume, and their ratio for thirteen solid shapes.
Calculator
About this calculator
Formula notes
A directly applies the shape's surface-area and volume equations, then returns ratio = surface area / volume with the dimensions the shape requires.
Worked examples
- Example: a sphere of radius 2 has surface area about 50.265, volume about 33.510, and ratio about 1.5.
- A cube with side length 3 has surface area 54, volume 27, and a surface-area-to-volume ratio of 2.
How to use it
- Pick the solid shape.
- Enter the dimensions requested for that shape.
- Read surface area, volume, and their ratio.
Frequently asked questions
Why does the required dimension change by shape?
Cube uses one edge, cylinder uses radius and height, while rectangular solids use three side lengths.
Does the ratio work for any shape?
The listed shapes only; irregular bodies require measured or numerical area and volume methods.
Limits and interpretation
- The geometry formulas assume exact regular shapes and straight edges; deformations, rounded corners, and real measurements are outside the model.
- All dimensions must be in the same unit; the ratio is unit-independent only after consistent measurement.