Surface Area Calculator

Calculate the complete surface area of eight closed solids, including boxes, spheres, cylinders, cones and pyramids.

Total closed surface area94.0000 square units
units

0.000001 – 1000000000

units

0.000001 – 1000000000

units

0.000001 – 1000000000

Total closed surface area

94.0000 square units

    Includes bases where stated. Cone and pyramid heights are perpendicular, not slant heights. Capsule height is its straight cylindrical section, excluding the rounded ends.

    How this was calculated

    A = 2(lw + lh + wh)

    All dimensions must use the same unit; the resulting area uses its square.

    Formula and method

    Add the areas of all exposed faces. A rectangular box uses 2(lw + lh + wh), a sphere uses 4πr² and a closed cylinder uses 2πr(r + h). The result displays the selected solid’s formula.

    Worked example

    A box measuring 3 × 4 × 5 units has surface area 2(12 + 20 + 15) = 94 square units.

    Frequently asked questions

    Which height does a cone or capsule require?

    A cone requires perpendicular height, not slant height. A capsule requires the length of its straight cylindrical section, excluding its hemispherical ends.

    Last updated . Results are estimates for informational purposes only.