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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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