Exterior Surface Area

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Calculate the total surface area of common 3D shapes exposed to the environment.

Shape Dimensions

Select Shape

Radius (r)

Surface Area

314.16

Total Area (A)

The total area of all outer faces of the object.

Volume (V)523.60

SA to Volume Ratio0.600

About this calculator

What is Surface Area?

Surface area is the total area that the surface of an object occupies. It is measured in square units. For a 3D object, it is the sum of the areas of all its faces. Understanding surface area is crucial in chemistry (for reaction rates), biology (for cell cooling), and engineering (for heat dissipation).

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Pro Tips

Surface area increases as the square of the dimensions (2x size = 4x area).
Volume increases as the cube of the dimensions (2x size = 8x volume).
Small objects have a larger surface-area-to-volume ratio than large objects.

Fun Facts

"Your lungs have a surface area roughly the size of a tennis court to maximize oxygen exchange."
"The 'Menger Sponge' is a fractal cube with an infinite surface area but zero volume!"
"Elephants have large ears to increase their surface area, allowing them to dissipate body heat more effectively."

Formula: Sphere SA = 4πr² | Cube SA = 6s²