Math
Surface Area Calculator
Total surface area of common 3D shapes: cube, box, sphere, cylinder, and cone.
Inputs
Surface Area Calculator
Result
Surface area
131.9469
- Formula
- 2π r (r + h)
How it's calculated
Cube 6a² · Box 2(lw+lh+wh) · Sphere 4πr² · Cylinder 2πr(r+h) · Cone πr(r+√(r²+h²)).
Common questions
Does cylinder area include the ends?
Yes — the formula 2πr(r + h) covers both circular ends plus the wrapped side.
Where does the cone formula come from?
π r² is the base and π r ℓ is the slant surface, where ℓ = √(r² + h²) is the slant height.
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