geometry calculator

Surface Area Calculator

Calculate the total outer surface area of common 3D shapes. Essential for painting estimates, material requirements, heat transfer calculations or packaging design.

Important Use Notice

Informational calculator only. Verify important outputs independently before legal, tax, medical, engineering, safety-critical, contractual, employment, or compliance use.

Estimate

Enter job values, review the estimate, then use the decision hints before ordering or quoting.

Side (cube) or radius (sphere/cylinder)

Only for cylinder

Estimate Results

Enter values to see the result.

Formula

Cube: 6s² Sphere: 4πr² Cylinder: 2πr² + 2πrh

Cube: 6 faces, each s². Sphere: derived from integral calculus. Cylinder: two circles + rectangular side.

For open shapes subtract appropriate faces

Example

Cube side 5 → surface area 150

Check

Using volume formulas instead of surface
Forgetting all faces (e. g. cube has 6)

Next Step