Surface Area Calculator

Free online Surface Area Calculator with step-by-step solutions. 100% client-side, no data upload.

Input

Shape

Edge Length (a)

Result

SA = 6a^2

Choose a shape and enter dimensions to see the result.

Recent Calculations

No calculations yet.

Surface Area Calculator

Surface area is the total area covered by the exterior surfaces of a three-dimensional object. It is measured in square units (e.g., cm², m², ft²).

Applications Surface area is critical in manufacturing (material requirements for coating, painting, or wrapping), thermodynamics (heat transfer), biology (nutrient absorption in intestines, lungs), and architecture (exterior finishing and insulation).

Surface Area vs. Volume The ratio of surface area to volume (SA:V) is critical in biology (cell size), engineering (cooling), and nanotechnology (catalysts).

Key Formulas - Cube: SA = 6a² - Rectangular Prism: SA = 2(lw + wh + lh) - Sphere/Ball: SA = 4πr² - Cylinder: SA = 2πr(r + h) - Cone: SA = πr(r + l), l = √(r² + h²) - Square Pyramid: SA = a² + 2a√((a/2)² + h²) - Triangular Prism: SA = bh + l(a + b + c) - Ellipsoid: SA ≈ 4π((a^p b^p + a^p c^p + b^p c^p)/3)^(1/p) - Capsule: SA = 2πr(2r + h) - Cap: SA = 2πRh - Conical Frustum: SA = π(R² + r² + (R+r)√((R-r)² + h²))

Privacy & Performance All calculations run locally. No data is transmitted, logged, or stored on any server.

🔒 Client-side only⚡ Web Worker processing🌐 Works offline🛡️ Zero server logs

Frequently Asked Questions

Got questions? We've got answers.

How does this tool work?

Select a 3D shape, enter its dimensions, and the surface area is calculated instantly in your browser.

Is this calculator private?

Yes. All calculations run locally in your browser. No data is transmitted or stored on any server.

What is the difference between surface area and lateral area?

Surface area includes all faces of a shape. Lateral area excludes the base(s). For a cylinder, lateral area is just the curved side.

What shapes are supported?

Cube, rectangular tank, ball, cylindrical tank, cone, square pyramid, triangular prism, ellipsoid, capsule, spherical cap, and conical frustum.

Can I use this on mobile?

Yes, the tool works on all devices with a modern browser.