What is the Surface Area Calculator?
The surface area calculator is a free online tool that helps you work out surface area quickly and accurately. It uses the standard formula Cube 6a^2; Sphere 4 pi r^2; Cylinder 2 pi r (r + h) and shows the result instantly as you type, along with a full breakdown so you can see exactly how the answer was reached.
How to use this calculator
- Pick the shape.
- Enter the side or radius (and height for a cylinder).
- See the surface area.
Formula used
Cube 6a^2; Sphere 4 pi r^2; Cylinder 2 pi r (r + h)
Explanation of each input
- Shape โ the shape used in the calculation.
- Side / radius (units) โ the side / radius used in the calculation.
- Height (cylinder) (units) โ the height (cylinder) used in the calculation.
Understanding your result
- Surface area โ the calculated surface area in sq units.
Step-by-step calculation
For the example values cube side 5:
- Apply the formula:
Cube 6a^2; Sphere 4 pi r^2; Cylinder 2 pi r (r + h) - Substitute the values: 6 x 25
- Result: 150 sq units
Worked example
| Inputs | cube side 5 |
|---|---|
| Working | 6 x 25 |
| Result | 150 sq units |
Benefits and practical uses
This calculator saves you time and reduces errors when you need surface area. It is useful for students, professionals and anyone who wants a fast, reliable answer without manual calculation. Results update instantly, work in your browser and can be copied or shared in one click.
Assumptions and limitations
- Regular solids.
Frequently asked questions
What is surface area?
The total area of all outer faces of a 3D shape.