Total and curved surface area of common solids — for paint, wrapping and school geometry.
Log in or create a free account to save your inputs and results, so you don't have to enter them again next time.🔒 No spam, ever. We never sell or share your details, and you can delete your history or account at any time. Privacy policy
Fill in the details and click Calculate to see your results.
Surface area is the total area of all the faces of a 3D shape: how much paint covers it, how much sheet metal or wrapping paper it needs, or how fast it loses heat. Curved (lateral) surface area leaves out the flat ends.
Choose a shape and enter its measurements — the help text says which is which. The calculator gives the total and curved surface area, the volume and the formula used, with the working and conversions to cm², m² and ft².
| Shape | Cylinder |
| a — radius, side or length | 3 |
| b — height or width | 4 |
| c — height or length (if needed) | 5 |
| Unit | cm |
| Total surface area | 131.94689 cm² |
| Lateral / curved surface area | 75.398224 cm² |
| Volume | 113.09734 cm³ |
| Formula | SA = 2πr² + 2πrh |
| Also | 131.947 cm² · 0.0131947 m² · 0.142026 ft² |
131.94689 cm².
| Shape | Cone |
| a — radius, side or length | 3 |
| b — height or width | 4 |
| c — height or length (if needed) | 5 |
| Unit | cm |
| Total surface area | 75.398224 cm² |
| Lateral / curved surface area | 47.12389 cm² |
| Volume | 37.699112 cm³ |
| Formula | SA = πr² + πrl, l = √(r² + h²) |
| Also | 75.3982 cm² · 0.00753982 m² · 0.081158 ft² |
75.398224 cm².
Total surface area includes every face; curved (lateral) surface area excludes the flat top and bottom.
Use the total surface area (or curved area if the ends are not painted) and add about 10% for waste.
l = √(r² + h²), the distance from the tip to the edge of the base.