justyourcalculatorSurface Area Calculator
Choose a shape, enter its sizes, and get its total surface area.
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Surface Area Calculator
Surface area of 11 common 3D shapes
Total surface area
314.15926536 m²
Exact: 100π m²
- Volume
- 523.5987756 m³
How it was calculated
- A = 4 × π × r²
- A = 4 × π × 5² = 4 × π × 25
- A = 100π = 314.15926536 m²
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How the surface area calculator works
Surface area is the total area of all the outside faces of a solid, in square units. It's what you'd need to paint or wrap the shape. Flat-faced solids add up their faces (a box is 2(lw + lh + wh), a cube 6a²).
Round solids use their curved-area formulas: sphere 4πr², cylinder 2πr² + 2πrh, cone πr² + πrs where s is the slant height √(r² + h²). Where it helps, the result also breaks the total into lateral (side) and base areas.
An ellipsoid's surface has no exact elementary formula, so it uses Knud Thomsen's approximation, accurate to about 1%.
Using and checking your result
Published by JustYourCalculator. Check the units and assumptions above, and compare a known example before relying on the output. Calculations use browser arithmetic and may round displayed values.
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