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  4. Surface Area Calculator

Surface Area Calculator

Surface area of sphere, cone, cube, cylinder, tank, capsule, cap, frustum, ellipsoid, and pyramid with unit conversions.

Geometry

  • Area Calculator
  • Circle Calculator
  • Triangle Calculator
  • Right Triangle Calculator
  • Pythagorean Theorem Calculator
  • Volume Calculator
  • Surface Area Calculator
  • Distance Calculator
  • Slope Calculator

How it works

Pick a solid and enter dimensions in one length unit. Results include lateral/base parts when useful, plus area-unit conversions.

4πr² · 6a² · 2πr(r+h) · 2(lw+lh+wh) · πr(r+ℓ) · cap · frustum · ellipsoid · pyramid

When to use

Use this tool when you need to: try cube a=4 in (96 in²), frustum 0.3/1/1.5 ft (~10.19 ft²), or pyramid a=3 h=5 (~40.32 ft²). Lateral + base shown when relevant.

How to use this tool

  1. Enter your values in the fields above.
  2. Review the formula and any mode options for your problem.
  3. Read the result and the step-by-step solution.

Try cube a=4 in (96 in²), frustum 0.3/1/1.5 ft (~10.19 ft²), or pyramid a=3 h=5 (~40.32 ft²). Lateral + base shown when relevant.

Frequently asked questions

What is the Surface Area Calculator?
Pick a solid and enter dimensions in one length unit. Results include lateral/base parts when useful, plus area-unit conversions.
How do I use the Surface Area Calculator?
Enter the required values, then calculate. The Surface Area Calculator shows results, formulas, and step-by-step work when available. No account is required.
What formula does the Surface Area Calculator use?
4πr² · 6a² · 2πr(r+h) · 2(lw+lh+wh) · πr(r+ℓ) · cap · frustum · ellipsoid · pyramid

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Surface area calculator

Surface area for sphere, cone, cube, cylinder, rectangular tank, capsule, spherical cap, conical frustum, ellipsoid, and square pyramid — with length units and conversions to m², ft², acres, and more.

Solid

Length unit (all sides)

SA = 4πr²

Try an example

How it works

What is surface area?

Surface area measures how much area the outside of a 3D object covers. SI unit is the square meter (m²). Paint, wrapping, and plating problems usually need total surface area.

Common solid formulas

Sphere SA=4πr². Closed cone SA=πr(r+ℓ) with ℓ=√(r²+h²). Cube SA=6a². Closed cylinder SA=2πr(r+h). Rectangular tank SA=2(lw+lh+wh). Capsule SA=4πr²+2πrh. Solid spherical cap SA=2πRh+πr². Conical frustum SA=π(R²+r²)+π(R+r)ℓ. Square pyramid SA=a²+2a√((a/2)²+h²). Ellipsoid uses a 1.6-power approximation.

Lateral, base, and total

Lateral (side) area excludes the base(s). Total SA for closed solids includes every face. For a hollow spherical shell, use only the curved part 2πRh and omit the base disk πr².

Units and conversions

Enter every length in the same unit. Results convert to m², hectares, km², ft², yd², acres, and mi².

Related geometry

Area and solid tools share common formulas with circle, triangle, and coordinate geometry calculators.

  • Area Calculator
  • Circle Calculator
  • Triangle Calculator
  • Right Triangle Calculator
  • Pythagorean Theorem Calculator
  • Volume Calculator