Euclidean Geometry (3D)
Three-dimensional space (3D) is a geometric three-parameter model of the physical universe (without considering time) in which all known matter exists. These three dimensions can be labeled by a combination of three chosen from the terms length, width, height, depth, and breadth. Any three directions can be chosen, provided that they do not all lie in the same plane.
In physics and mathematics, a sequence of n numbers can be understood as a location in n-dimensional space. When n = 3, the set of all such locations is called three-dimensional Euclidean space. This space is only one example of a great variety of spaces in three dimensions called 3-manifolds.
This vCalc library contains geometry equations for Euclidean space (3D).
Parent Categories
Euclidean Geometry (3D) Calculators and Collections
Euclidean Geometry (3D) Equations
- 4-Vector Norm Use Equation
- 5-Vector Norm Use Equation
- Angle between Vectors Use Equation
- Area between Vectors Use Equation
- Bottle - mass Use Equation
- Bottle - surface area Use Equation
- Bottle - volume Use Equation
- Box - Content Weight Use Equation
- Box - Diagonal Use Equation
- Box - Surface Area Use Equation
- Box Volume Use Equation
- Box Weight Use Equation
- Capacity of a Dished End Tank Use Equation
- Capsule - surface area Use Equation
- Capsule - volume Use Equation
- Capsule - weight Use Equation
- Cartesian to Cylindrical Use Equation
- Cartesian to Spherical Use Equation
- Chamfer Weight Use Equation
- Circle with the Same Area as an Ellipse Use Equation
- Circle with the Same Perimeter as an Ellipse Use Equation
- Cone - Frustum Surface Area Use Equation
- Cone - Frustum Surface Area (total) Use Equation
- Cone - Frustum Surface Area 2 Use Equation
- Cone - Height Use Equation
- Cone - Shell Mass Use Equation
- Cone - Shell Volume Use Equation
- Cone - Surface Area Use Equation
- Cone - Volume Use Equation
- Cone - Volume f(A,h) Use Equation
- Cone Frustum Volume Use Equation
- Cone Frustum Weight Use Equation
- Cone Weight Use Equation
- Conic cylinder - volume Use Equation
- Conic cylinder - weight Use Equation
- Cube - Density Use Equation
- Cube - Length of a Side Use Equation
- Cube - Perimeter Use Equation
- Cube - Perimeter from Volume Use Equation
- Cube - Surface Area Use Equation
- Cube - Surface Area from Volume Use Equation
- Cube - Volume from Surface Area Use Equation
- Cube Weight Use Equation
- Cubic Yards to Cubic Meters Use Equation
- Cuboid - Diagonal Use Equation
- Cuboid - Mass Use Equation
- Cuboid - Surface Area Use Equation
- Cuboid - Volume Use Equation
- Cylinder - Height from Surface Area Use Equation
- Cylinder Density Use Equation
- Cylinder Height Use Equation
- Cylinder Mass Use Equation
- Cylinder Radius Use Equation
- Cylinder Side Area Use Equation
- Cylinder Surface Area Use Equation
- Cylinder Volume Use Equation
- Cylinder Volume from Height and Circumference Use Equation
- Cylinder Weight Use Equation
- Cylindrical to Cartesian Use Equation
- Decagon Volume Use Equation
- Distance to Point On Ring Of Sphere Use Equation
- Dodecagon Volume Use Equation
- Dodecahedron Surface Area Use Equation
- Dodecahedron Volume Use Equation
- Elevation of Object (angles and separation) Use Equation
- Ellipse Mean Radius Integrated Use Equation
- Ellipsoid - Surface Area Use Equation
- Ellipsoid - Volume Use Equation
- Ellipsoid Cap - Mass Use Equation
- Ellipsoid Cap - Volume Use Equation
- Ellipsoid Weight Use Equation
- Elliptical Mass Use Equation
- Elliptical Pipe to Round Pipe Use Equation
- Elliptical Volume Use Equation
- Equilateral Triangle Volume Use Equation
- Gallons in a Cylinder Use Equation
- Geocentric to Geodetic Latitude Use Equation
- Geodetic to Geocentric Latitude Use Equation
- Great Circle Arc Distance Use Equation
- Great Circle Central Angle Use Equation
- Great Circle Central Angle (Vincenty) Use Equation
- Haversine - Distance Use Equation
- Hemisphere (Surface Area) Use Equation
- Hemisphere (Volume) Use Equation
- Hemisphere Mass Use Equation
- Hendecagon Volume Use Equation
- Heptagon Volume Use Equation
- Hexagon Column Surface Area Use Equation
- Hexagon Mass Use Equation
- Hexagon Volume Use Equation
- Mean Radius of an Ellipse Use Equation
- Nonagon Volume Use Equation
- Oblate Spheroid - flattening factor Use Equation
- Oblate Spheroid - surface area Use Equation
- Oblate Spheroid Mass Use Equation
- Oblate Spheroid Volume Use Equation
- Octagon Column Surface Area Use Equation
- Octagon Volume Use Equation
- Octagon Weight Use Equation
- Oval Volume Use Equation
- Paraboloid - Surface Area Use Equation
- Paraboloid - Volume Use Equation
- Paraboloid Weight Use Equation
- Pentagon Planter Use Equation
- Pentagon Volume Use Equation
- Pentagon Weight Use Equation
- Pentahedorn Volume Use Equation
- Pentahedron Surface Area Use Equation
- Polygon Base Pyramid Weight Use Equation
- Polygon Column Mass Use Equation
- Polygon Pyramid Frustum Weight Use Equation
- Polygon Volume Use Equation
- Principal Plane Stress (σ1=σmax) Use Equation
- Prism - Mass Use Equation
- Prism - Surface Area Use Equation
- Prism - Volume Use Equation
- Pyramid (polygon base) - Volume Use Equation
- Pyramid (polygon in circle base) - Volume Use Equation
- Pyramid (polygon in circle base) - Weight Use Equation
- Pyramid (triangle base) - Volume Use Equation
- Pyramid (triangle base) - Weight Use Equation
- Pyramid - Volume Use Equation
- Pyramid - Weight Use Equation
- Pyramid Frustum (polygon base) - surface area Use Equation
- Pyramid Frustum - Volume Use Equation
- Pyramid Frustum - Weight Use Equation
- Quadrilateral Volume Use Equation
- Ring Circumference on Sphere Use Equation
- Rotational Speed at Latitude Use Equation
- Semi-circle Slab Volume Use Equation
- Semi-circle Slab Weight Use Equation
- Semicircle - Volume Use Equation
- Semicircle - Volume Height Use Equation
- Semicircle - Volume Radius Use Equation
- Semicircle Weight Use Equation
- Slanted Cylinder Area from Angle Use Equation
- Slanted Cylinder Surface Area Use Equation
- Slanted Cylinder Volume Use Equation
- Slanted Cylinder Weight Use Equation
- Sphere - Cap Surface Area Use Equation
- Sphere - Cap Volume Use Equation
- Sphere - Density Use Equation
- Sphere - Radius from Surface Area Use Equation
- Sphere - Radius from Volume Use Equation
- sphere - segment Surface Area Use Equation
- sphere - segment total Surface Area Use Equation
- sphere - segment volume Use Equation
- Sphere - Shell Inner Volume Use Equation
- Sphere - Shell Volume Use Equation
- Sphere - Surface Area Use Equation
- Sphere - Surface Area from Volume Use Equation
- Sphere - Triangle Area Use Equation
- Sphere - Volume Use Equation
- Sphere - Volume from Surface Area Use Equation
- Sphere Cap Weight Use Equation
- Sphere Mass Use Equation
- Sphere Segment Weight Use Equation
- Sphere Shell Mass Use Equation
- Sphere Tank Volume Use Equation
- Sphere Volume from Mass and Density Use Equation
- Spherical Bowl Volume Use Equation
- Spherical Tank Load Weight Use Equation
- Spherical to Cartesian Use Equation
- Spherical triangle side from law of cosines Use Equation
- Squared Volume Use Equation
- Surface Area Polygon Column Use Equation
- Tetrahedron - Face Area Use Equation
- Tetrahedron - Height Use Equation
- Tetrahedron - Mass Use Equation
- Tetrahedron - Surface Area Use Equation
- Tetrahedron - Volume Use Equation
- Tons (US) to Metric Tons Use Equation
- Torispherical Head Tank Content Mass Use Equation
- Torispherical Head Volume Use Equation
- Torispherical Head Volume and Height Use Equation
- Torque Free Ratio of Ellipsoid Spin to Precession Use Equation
- Torus - Surface Area Use Equation
- Torus - Surface Area 2 Use Equation
- Torus - Volume Use Equation
- Torus - Volume 2 Use Equation
- Torus Weight Use Equation
- Travel Time between Coordinates Use Equation
- Triangle Volume Use Equation
- Triangular Weight Use Equation
- V = A * d Use Equation
- V = L*W*D Use Equation
- V3 - Distance between Vectors Use Equation
- V3 - Mixed Product (cross and dot) Use Equation
- V3 - scalar division Use Equation
- V3 - scalar multiplication Use Equation
- V3 - Unit Vector Use Equation
- V3 - vector addition Use Equation
- V3 - Vector Cross Product Use Equation
- V3 - Vector Dot Product Use Equation
- V3 - Vector Magnitude Use Equation
- V3 - Vector Norm Use Equation
- V3 - vector subtraction Use Equation
- V3 - XYZ to LLA Use Equation
- V3 - |V+U| Use Equation
- V3 - |V| Use Equation
- Vector Norm Use Equation
- Vector Normal to a Plane Use Equation
- Vector Projection Use Equation
- Vector Rotation Use Equation
- Volume from Area and Height Use Equation
- Volume in Horizontal Cylinder Use Equation
- Volume of a Cube Use Equation
- Volume of Cone Frustum with a Core Use Equation
- Volume of Polygon Base Pyramid Frustum Use Equation
- Volume of Water in a Tank Use Equation
- Volume Unit Conversion Use Equation
- VTH Use Equation
- Water in a Pentagon Pond Use Equation
- Weight of a Partially Filled Horizontal Cylinder Use Equation
- Weight of Fluid in Spherical Container Use Equation
- Weight of Volume Use Equation
- Weight of Water in a Tank Use Equation
- Attachments
pyramid-geometries.PNG |
vector-3D.png |