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surface area

Measure of the total area occupied by a mathematical surface (e.g. the boundary of a solid)

EntityQ1379273

Subclass of: area

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra, for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.

Overview

All data

20 statements · 15% with external sources · numbers in brackets are citations

ISQ dimension: \mathsf{L}^2
Quantity symbol (LaTeX): S
Defining formula: A\left(\left\{ \vec{r}(u, v) : (u, v) \in D \right\}\right) = \iint_D\left \|\vec{r}_u\times\vec{r}_v\right \| \, du \, dv
1
Sources
1.Stated in International Electrotechnical Vocabulary
View statement on Wikidata ↗
Follows: arc length criterion used: dimension
Different from: area
In defining formula: \times symbol represents: cross product
\|\cdot\| symbol represents: vector length

On other databases

11 identifiers linking surface area across the web's reference databases

Data quality

statements

15%

externally sourced

Source last edited October 9, 2026. AIDB refreshes this page daily.

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AIDB. (2026). surface area (Q1379273). Retrieved from https://aidb.si/e/surface-area-Q1379273