yCalculator

Surface Area Calculator

Last updated: April 2026

Choose a 3D shape

Calculate the outside covering area of common solids.

Dimensions

surface area = outside covering3D shape plus labelled surface components

Total surface area

188.4956 cm²

SA = 2pi r^2 + 2pi rh

Component breakdown

Base area

56.5487 cm²

Lateral area

131.9469 cm²

Total

188.4956 cm²

Step-by-step working

Formula: SA = 2pi r^2 + 2pi rh

Substitution: SA = 2pi x 3 x 7 + 2pi x 3^2

  1. Area of two circular ends = 2 x pi x 3^2 = 56.5487 cm^2
  2. Lateral area = 2 x pi x 3 x 7 = 131.9469 cm^2
  3. Total = 188.4956 cm^2

Also calculate volume?

Volume Calculator

Surface area vs volume

Surface area measures the outside covering of a 3D shape in square units. Volume measures the space inside in cubic units.

Net diagrams and surface area

A net unfolds a 3D shape into flat faces. Adding the area of each face gives total surface area.

Real-world surface area applications

Surface area is used for painting, wrapping, packaging, insulation, coating, fabric, and material estimates.

What does this mean?

This calculator is designed to help you understand the likely number before you make a decision or start an application.

Your result should be checked against official UK guidance, especially if your circumstances include dependants, exemptions, prior leave, or a complex immigration history.

Treat the figure as a planning tool rather than legal advice. Where the answer affects an application deadline or major payment, speak to an authorised adviser.

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