Surface Area Calculator
Calculate total surface area for common 3D shapes including rectangular prisms, cubes, spheres, cylinders, cones, and square pyramids.
Results
Use this Surface Area Calculator to find the total surface area of common 3D shapes, including rectangular prisms, cubes, spheres, cylinders, cones, and square pyramids.
Surface Area Formulas
- Rectangular prism: SA = 2(lw + lh + wh)
- Cube: SA = 6a²
- Sphere: SA = 4πr²
- Closed cylinder: SA = 2πr² + 2πrh
- Cone: SA = πr² + πrl
- Square pyramid: SA = base area + lateral area
Example
For a rectangular prism measuring 10 ft × 8 ft × 6 ft:
SA = 2[(10 × 8) + (10 × 6) + (8 × 6)]
SA = 376 ft²
Important Note
Use compatible units for all dimensions. For round shapes, make sure you enter radius or diameter correctly. A cone’s slant height is different from its vertical height.
Source
Disclaimer: This Surface Area Calculator uses standard geometry formulas and assumes that the selected shape, dimensions, and units are correct. Results can change significantly if radius and diameter are confused, if slant height is used incorrectly, or if mixed units are entered. For construction, engineering, manufacturing, coating, packaging, or material-estimation work, verify dimensions and allow for waste, overlap, tolerances, and real-world surface irregularities.