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A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) 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 (i.e., objects with flat ...
- Free surface - Wikipedia
Disturbed free surface of a sea, viewed from below. In...
- Area - Wikipedia
Area is the measure of a region 's size on a surface. The...
- Surface area - Simple English Wikipedia, the free encyclopedia
Surface area the measure of the total area that the surface...
- Free surface - Wikipedia
Surface area the measure of the total area that the surface of the object occupies ( 3D) object. The surface area of a polyhedron is found by finding the sum of the area of all of the faces. The surface area is found between many three-dimensional (3D) shapes using formulas . The surface area is useful because it tells you how much material is ...
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Disturbed free surface of a sea, viewed from below. In physics, a free surface is the surface of a fluid that is subject to zero parallel shear stress, [1] such as the interface between two homogeneous fluids. [2] An example of two such homogeneous fluids would be a body of water (liquid) and the air in the Earth's atmosphere (gas mixture).
Cube. The surface area of a cube is the area of the six squares that cover it. The area of one of them is \ (a \times a,\) or \ (a^2 \). Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared: \ [ (\text {Surface area of cube}) = 6 a^2 .\]
Area is the measure of a region 's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area can be understood as the amount of material with a given thickness that would be necessary to ...
- A or S
- Square metre [m²]
- 1 m²
The surface-area-to-volume ratio or surface-to-volume ratio (denoted as SA:V, SA/V, or sa/vol) is the ratio between surface area and volume of an object or collection of objects. SA:V is an important concept in science and engineering. It is used to explain the relation between structure and function in processes occurring through the surface ...
The sphere has the smallest surface area of all surfaces that enclose a given volume, and it encloses the largest volume among all closed surfaces with a given surface area. The sphere therefore appears in nature: for example, bubbles and small water drops are roughly spherical because the surface tension locally minimizes surface area.
