Surface Area Calculator
Calculate the surface area of various 3D shapes with detailed formulas and visualizations.
Shape Selection
⬛
Cube
🔵
Sphere
🛢️
Cylinder
🔺
Cone
📦
Rectangular Prism
🔺
Pyramid
Calculation Result
Surface area will appear here
Visualization
Shape Properties
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Formula
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Surface Area Formulas
Cube
SA = 6a²
Where a is the side length
Sphere
SA = 4πr²
Where r is the radius
Cylinder
SA = 2πr² + 2πrh
Where r is radius and h is height
Cone
SA = πr² + πr√(r² + h²)
Where r is radius and h is height
Rectangular Prism
SA = 2(lw + lh + wh)
Where l is length, w is width, h is height
Square Pyramid
SA = a² + 2a√(a²/4 + h²)
Where a is base length and h is height
Real-World Applications
Packaging
Calculate how much material is needed for boxes and containers.
Construction
Determine the amount of paint or siding needed for buildings.
Manufacturing
Calculate material requirements for producing 3D objects.