BESTUTILS

Surface Area Calculator

Calculate the surface area of various 3D shapes including sphere, cube, cylinder, cone, pyramid, and more. Get instant results with step-by-step formulas.

Select a Shape

⚪

Sphere

🎲

Cube

🥫

Cylinder

🍦

Cone

🔺

Pyramid

📦

Rectangular Prism

Enter Dimensions

Surface Area Result

314.16
square units

Formula Used:

SA = 4πr²
SA = 4 × π × 5² = 4 × π × 25 = 314.16

About Surface Area Calculator

Our surface area calculator helps you find the total surface area of various 3D geometric shapes. Surface area represents the total area of all surfaces that bound a three-dimensional object, measured in square units (like square meters, square feet, etc.).

Supported Shapes

🌍 Sphere

A perfectly round 3D shape. Surface area = 4πr²

🎲 Cube

A 3D shape with 6 equal square faces. Surface area = 6a²

🥫 Cylinder

A shape with circular bases and curved sides. Surface area = 2πr² + 2πrh

🍦 Cone

A shape with a circular base and pointed top. Surface area = πr² + πrl

🔺 Square Pyramid

A pyramid with a square base. Surface area = a² + 2al

📦 Rectangular Prism

A box-shaped 3D figure. Surface area = 2(lw + lh + wh)

How to Use the Calculator

  1. 1. Select Shape: Click on one of the six 3D shapes available (sphere, cube, cylinder, cone, pyramid, or rectangular prism).
  2. 2. Enter Dimensions: Input the required measurements for your selected shape. All dimensions should be in the same unit.
  3. 3. View Results: The calculator automatically updates the surface area as you type. Results are displayed with the formula used.
  4. 4. Check Formula: Review the mathematical formula and step-by-step calculation shown below the result.
  5. 5. Try Different Shapes: Switch between shapes to compare surface areas or solve multiple problems.

Understanding Surface Area

Surface area is crucial in many real-world applications:

  • • Architecture: Calculating paint, wallpaper, or material needed for surfaces
  • • Manufacturing: Determining material costs and heat transfer rates
  • • Packaging: Designing efficient containers and calculating shipping costs
  • • Science: Understanding heat dissipation, chemical reactions, and biological processes
  • • Education: Learning geometry and preparing for standardized tests

Tips for Accurate Calculations

  • • Always use consistent units (all measurements in meters, feet, etc.)
  • • Double-check your measurements before entering them
  • • For cone and pyramid calculations, ensure you're using slant height, not vertical height
  • • Remember that surface area results will be in square units (unit²)
  • • Use precise decimal values for better accuracy in professional applications

Common Formulas Reference

Sphere: SA = 4πr²

Cube: SA = 6a²

Cylinder: SA = 2πr² + 2πrh

Cone: SA = πr² + πrl

Square Pyramid: SA = a² + 2al

Rectangular Prism: SA = 2(lw + lh + wh)