Calculate surface area for cubes, prisms, cylinders, cones, spheres, and more with formulas, units, and step-by-step solutions.
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A surface area calculator helps you find the total outside area of a 3D shape quickly and accurately. Choose the solid you want to measure, enter the required dimensions, select your preferred unit, and the calculator will return the total surface area along with lateral or curved area when it matters. This makes it useful for geometry homework, material estimates, packaging, fabrication, and engineering checks.
Surface area is the total area covering the outside of a 3D object. For solids such as cubes, prisms, cylinders, cones, and spheres, it tells you how much exterior space is exposed. In practical terms, surface area helps estimate paint coverage, wrapping material, insulation, plating, or any other material needed to cover an object's outer surface. Some shapes also have a lateral or curved surface area, which excludes the base or top faces and focuses only on the side surface.
Surface Area Formula
SA = sum of the areas of all outer facesCalculate cubes, prisms, cylinders, cones, spheres, hemispheres, and pyramids from one place instead of hunting for separate formulas.
The calculator highlights the full outer area and shows lateral or curved area when that distinction matters for side coverage, labels, or fabrication.
Every shape returns the formula and working steps so students, teachers, and professionals can check exactly how the result was produced.
Use the results to estimate paint, wrap, plating, insulation, cladding, or other materials that depend on exterior coverage.
Check formulas for cubes, cones, cylinders, prisms, and pyramids while seeing each step clearly enough to learn the method.
Estimate how much paper, cardboard, vinyl, or protective material is needed to cover a box, can, or other 3D object.
Approximate cladding, sheet material, coatings, or exposed panel area for simple geometric forms used in models and builds.
Use surface area for coating calculations, thermal exposure estimates, plating, and other quick design validations.
Area measures the size of a flat 2D shape, such as a rectangle or circle. Surface area measures the total outside area of a 3D solid, such as a box, cylinder, cone, or sphere.
Total surface area includes every outside face of the solid. Lateral surface area includes only the side faces or curved side surface and usually excludes the top and bottom bases.
For a cylinder, total surface area is the area of both circular bases plus the curved side. The formula is SA = 2*pi*r^2 + 2*pi*r*h, or equivalently SA = 2*pi*r(r + h).
Add the areas of all six faces. The standard formula is SA = 2(lw + lh + wh), where l is length, w is width, and h is height.
Yes. For shapes where the needed dimensions are available, the calculator shows a companion volume result as an extra reference. Surface area remains the primary result.
No. Body surface area is a medical estimate based on height and weight. Geometric surface area measures the outer area of mathematical 3D solids. They are different concepts and should not be mixed.
Surface area is always shown in square units based on the unit you select for the dimensions, such as cm^2, m^2, in^2, or ft^2. Companion volume values use cubic units.