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This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !
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Cone
Name  Formula  Legend 
Lateral surface area of the cone  Show source$S=\pi~{ r}^{2}+\pi~ r~ l$ 

Slant height of the cone  Show source$l=\sqrt{{ r}^{2}+{ h}^{2}}$ 

Cone volume  Show source$V=\frac{1}{3}~\pi~{ r}^{2}~ h$ 

Surface areas of solids
Name  Formula  Legend 
Lateral surface area of the cone  Show source$S=\pi~{ r}^{2}+\pi~ r~ l$ 

Slant height of the cone  Show source$l=\sqrt{{ r}^{2}+{ h}^{2}}$ 

Lateral surface area of cylinder  Show source$S=2~\pi~{ r}^{2}+2~\pi~ r~ h$ 

Lateral surface area of the cube  Show source$S=6~{ a}^{2}$ 

Total surface area of the cuboid  Show source$S=2~ a~ b+2~ a~ h+2~ b~ h$ 

Lateral surface area of the sphere  Show source$S=4~\pi~{ r}^{2}$ 

Volume of solids
Name  Formula  Legend 
Cone volume  Show source$V=\frac{1}{3}~\pi~{ r}^{2}~ h$ 

Cylinder volume  Show source$V=\pi~{ r}^{2}\cdot h$ 

Cube volume  Show source$V={ a}^{3}$ 

Cuboid volume  Show source$V= a\cdot b\cdot h$ 

Sphere volume  Show source$V=\frac{4}{3}~\pi~{ r}^{3}$ 

Cylinder
Name  Formula  Legend 
Lateral surface area of cylinder  Show source$S=2~\pi~{ r}^{2}+2~\pi~ r~ h$ 

Cylinder volume  Show source$V=\pi~{ r}^{2}\cdot h$ 

Prisms
Name  Formula  Legend 
Lateral surface area of the cube  Show source$S=6~{ a}^{2}$ 

Cube volume  Show source$V={ a}^{3}$ 

Total surface area of the cuboid  Show source$S=2~ a~ b+2~ a~ h+2~ b~ h$ 

Cuboid volume  Show source$V= a\cdot b\cdot h$ 

Cube
Name  Formula  Legend 
Lateral surface area of the cube  Show source$S=6~{ a}^{2}$ 

Cube volume  Show source$V={ a}^{3}$ 

Cuboid
Name  Formula  Legend 
Total surface area of the cuboid  Show source$S=2~ a~ b+2~ a~ h+2~ b~ h$ 

Cuboid volume  Show source$V= a\cdot b\cdot h$ 

Sphere
Name  Formula  Legend 
Lateral surface area of the sphere  Show source$S=4~\pi~{ r}^{2}$ 

Sphere volume  Show source$V=\frac{4}{3}~\pi~{ r}^{3}$ 

Some facts
 Stereometry is a branch of mathematics dealing with the study of threedimensional solids and the relationships between them.
 Stereometry is the equivalent of a plane, twodimensional geometry (sometimes called planimetry) in threedimensional space. For this reason the term solid geometry, threedimensional geometry or 3D geometry are used.
 Spatial shapes (equivalents of flat figures in threedimensional space) are often called solids. Examples of typical solids are, among others:
 sphere  it is a generalization of the circle into threedimensional space,
 cuboid  generalization of rectangle,
 cube  generalization of square,
 cone,
 cylinder,
 itd.
 sphere  it is a generalization of the circle into threedimensional space,
 The most typical solid properties are:
 lateral surface area  it is the sum of all external surfaces of the solid, e.g. in case of a cube, there are six identical walls with the same area, therefore the cube field is:
$S = 6a^2$where:
 S  lateral surface area of the cube,
 a  the length of the cube edge, it is equal between all the edges: the width of the base, the length of the base and the height of the whole cube.
 S  lateral surface area of the cube,
 volume  determines how much space the given solid occupies, e.g. the cube volume is:
$V = a^3$where:
 V  cube volume,
 a  the length of the cube's edge.
 V  cube volume,
 lateral surface area  it is the sum of all external surfaces of the solid, e.g. in case of a cube, there are six identical walls with the same area, therefore the cube field is:
 The lateral surface area is the sum of the flat figures. When measuring the total area, we always deal with square units, for example, square meters ($m^2$).
 You can find more about square units and the concept of surface area in our other calculator: Area.
 If you want to learn more about the geometry of flat figures (2D), check out our other calculator: Math tables: geometry.
 The volume of the solid is always given in cubic units e.g. cubic decimeter ($dm^3$).
 Volume is a property unique to spatial solids. It means that it has no sense for flat, twodimensional shapes.
 If you want to learn more about cubic units and the volume, check out our other calculator Volume (capacity).
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Tags:
stereometry · 3d_geometry · mathematical_tables_stereometry · table_of_formulas_for_stereometry · stereometry_formulas · stereometry_related_formulas · solids_volume_formulas
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