Calculate total and lateral surface area for cubes, spheres, cylinders, cones, and rectangular prisms.
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Shape
54
Total surface area
36
Lateral area
6s²
Formula
Also in General
Geometry
The surface area calculator finds the total and lateral surface area of cubes, spheres, cylinders, cones, and rectangular prisms from their dimensions.
Cube: 6 times side squared. Sphere: 4 pi times radius squared. Cylinder: 2 pi r (r + h). Cone: pi r (r + slant height). Rectangular prism: 2(lw + lh + wh).
Lateral area excludes the base(s). For a cylinder, lateral area is 2 pi r h. For a cone, it is pi r times slant height.
This calculator handles regular shapes. For composite solids, calculate each face separately and sum the exposed areas.
Frequently asked questions
Total surface area includes all faces. Lateral surface area excludes the base(s) — it covers only the sides.
Use the Pythagorean theorem: slant height = sqrt(radius squared + height squared).
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