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# Surface area

The surface area of a solid object is a measure of the total area that the surface of the object occupies. [1]

55 relations: Arc length, Archimedes, Area, BET theory, Calculus, Cell (biology), Cell membrane, Cellular respiration, Chemical kinetics, Chemical reaction, Combustion, Cone, Congruence (geometry), Cube, Cuboid, Cylinder, Differentiable function, Digestion, Dihedral angle, Ear, Elephant, Euclidean group, Face (geometry), Fractal, Geometric measure theory, Henri Lebesgue, Hermann Minkowski, Hermann Schwarz, Infinitesimal, Iron, Micrograph, Microvillus, Minkowski content, Multiple integral, Parametric surface, Partial derivative, Perimeter, Polyhedron, Prism (geometry), Pyramid (geometry), Reaction rate, Real number, Solid geometry, Sphere, Spherical lune, Square pyramid, Surface (mathematics), Surface (topology), Surface integral, Surface of revolution, ... Expand index (5 more) »

## Arc length

Determining the length of an irregular arc segment is also called rectification of a curve.

## Archimedes

Archimedes of Syracuse (Ἀρχιμήδης) was a Greek mathematician, physicist, engineer, inventor, and astronomer.

## Area

Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane.

## BET theory

Brunauer–Emmett–Teller (BET) theory aims to explain the physical adsorption of gas molecules on a solid surface and serves as the basis for an important analysis technique for the measurement of the specific surface area of materials.

## Calculus

Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

## Cell (biology)

The cell (from Latin cella, meaning "small room") is the basic structural, functional, and biological unit of all known living organisms.

## Cell membrane

The cell membrane (also known as the plasma membrane or cytoplasmic membrane, and historically referred to as the plasmalemma) is a biological membrane that separates the interior of all cells from the outside environment (the extracellular space).

## Cellular respiration

Cellular respiration is a set of metabolic reactions and processes that take place in the cells of organisms to convert biochemical energy from nutrients into adenosine triphosphate (ATP), and then release waste products.

## Chemical kinetics

Chemical kinetics, also known as reaction kinetics, is the study of rates of chemical processes.

## Chemical reaction

A chemical reaction is a process that leads to the transformation of one set of chemical substances to another.

## Combustion

Combustion, or burning, is a high-temperature exothermic redox chemical reaction between a fuel (the reductant) and an oxidant, usually atmospheric oxygen, that produces oxidized, often gaseous products, in a mixture termed as smoke.

## Cone

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.

## Congruence (geometry)

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

## Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

## Cuboid

In geometry, a cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube.

## Cylinder

A cylinder (from Greek κύλινδρος – kulindros, "roller, tumbler"), has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.

## Differentiable function

In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain.

## Digestion

Digestion is the breakdown of large insoluble food molecules into small water-soluble food molecules so that they can be absorbed into the watery blood plasma.

## Dihedral angle

A dihedral angle is the angle between two intersecting planes.

## Ear

The ear is the organ of hearing and, in mammals, balance.

## Elephant

Elephants are large mammals of the family Elephantidae and the order Proboscidea.

## Euclidean group

In mathematics, the Euclidean group E(n), also known as ISO(n) or similar, is the symmetry group of n-dimensional Euclidean space.

## Face (geometry)

In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.

## Fractal

In mathematics, a fractal is an abstract object used to describe and simulate naturally occurring objects.

## Geometric measure theory

In mathematics, geometric measure theory (GMT) is the study of geometric properties of sets (typically in Euclidean space) through measure theory.

## Henri Lebesgue

Henri Léon Lebesgue (June 28, 1875 – July 26, 1941) was a French mathematician most famous for his theory of integration, which was a generalization of the 17th century concept of integration—summing the area between an axis and the curve of a function defined for that axis.

## Hermann Minkowski

Hermann Minkowski (22 June 1864 – 12 January 1909) was a German mathematician and professor at Königsberg, Zürich and Göttingen.

## Hermann Schwarz

Karl Hermann Amandus Schwarz (25 January 1843 – 30 November 1921) was a German mathematician, known for his work in complex analysis.

## Infinitesimal

In mathematics, infinitesimals are things so small that there is no way to measure them.

## Iron

Iron is a chemical element with symbol Fe (from ferrum) and atomic number 26.

## Micrograph

A micrograph or photomicrograph is a photograph or digital image taken through a microscope or similar device to show a magnified image of an item.

## Microvillus

Microvilli (singular: microvillus) are microscopic cellular membrane protrusions that increase the surface area for diffusion and minimize any increase in volume, and are involved in a wide variety of functions, including absorption, secretion, cellular adhesion, and mechanotransduction.

## Minkowski content

The Minkowski content (named after Hermann Minkowski), or the boundary measure, of a set is a basic concept that uses concepts from geometry and measure theory to generalize the notions of length of a smooth curve in the plane, and area of a smooth surface in space, to arbitrary measurable sets.

## Multiple integral

The multiple integral is a definite integral of a function of more than one real variable, for example, or.

## Parametric surface

A parametric surface is a surface in the Euclidean space \Bbb R^3 which is defined by a parametric equation with two parameters \vec r: \Bbb^2 \rightarrow \Bbb^3.

## Partial derivative

In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary).

## Perimeter

A perimeter is a path that surrounds a two-dimensional shape.

## Polyhedron

In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.

## Prism (geometry)

In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.

## Pyramid (geometry)

In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.

## Reaction rate

The reaction rate or rate of reaction is the speed at which reactants are converted into products.

## Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

## Solid geometry

In mathematics, solid geometry is the traditional name for the geometry of three-dimensional Euclidean space.

## Sphere

A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").

## Spherical lune

In spherical geometry, a spherical lune is an area on a sphere bounded by two half great circles which meet at antipodal points, and is an example of a digon, θ, with dihedral angle θ. The word "lune" derives from luna, the Latin word for Moon.

## Square pyramid

In geometry, a square pyramid is a pyramid having a square base.

## Surface (mathematics)

In mathematics, a surface is a generalization of a plane which needs not be flat, that is, the curvature is not necessarily zero.

## Surface (topology)

In topology and differential geometry, a surface is a two-dimensional manifold, and, as such, may be an "abstract surface" not embedded in any Euclidean space.

## Surface integral

In mathematics, a surface integral is a generalization of multiple integrals to integration over surfaces.

## Surface of revolution

A surface of revolution is a surface in Euclidean space created by rotating a curve (the generatrix) around an axis of rotation.

## Surface-area-to-volume ratio

The surface-area-to-volume ratio, also called the surface-to-volume ratio and variously denoted sa/vol or SA:V, is the amount of surface area per unit volume of an object or collection of objects.

## Tetrahedron

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

## Tooth

A tooth (plural teeth) is a hard, calcified structure found in the jaws (or mouths) of many vertebrates and used to break down food.

## Torus

In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.

## Triangular prism

In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.

## References

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