Surface Area Calculator

Calculate the surface area of various 3D geometric shapes with step-by-step solutions and interactive visualizations.

Use the calculators below to calculate the surface area of several common shapes.

Ball Surface Area

r

Cone Surface Area

hr

Cube Surface Area

a

Cylindrical Tank Surface Area

hr

Rectangular Tank Surface Area

lwh

Capsule Surface Area

hr

Cap Surface Area

Please provide any two values below to calculate.

hrR

Conical Frustum Surface Area

hRr

Ellipsoid Surface Area

abc

Square Pyramid Surface Area

ha

About Surface Area Calculations

Surface area is the total area of all the faces or surfaces of a 3D object. It's important in various fields including engineering, architecture, and manufacturing for determining material requirements, heat transfer, and other physical properties.

Common Applications:

  • • Material cost estimation
  • • Heat transfer calculations
  • • Paint and coating requirements
  • • Packaging design
  • • Architectural planning
  • • Manufacturing processes

Key Formulas:

  • Sphere: 4πr²
  • Cone: πr(r + l) where l = √(r² + h²)
  • Cube: 6a²
  • Cylinder: 2πr(r + h)
  • Rectangular Prism: 2(lw + lh + wh)
  • Capsule: 2πr(2r + h_cylinder)