11 Other formulas that you can solve using the same Inputs

Radius of inscribed sphere inside platonic solids
Radius=Length of edge*0.5*cos(180/Number of edges meeting at a vertex)/(sin(180/Number of edges in a face)*tan(180/Number of edges in a face)*cos(0.5*Dihedral Angle)) GO
Radius of circumscribed sphere around platonic solids
Radius=Length of edge*0.5*sin(180/Number of edges meeting at a vertex)/(sin(180/Number of edges in a face)*cos(0.5*Dihedral Angle)) GO
Radius of inscribed sphere inside the regular dodecahedron
Radius=Length of edge*0.5*cos(180/3)/(sin(180/5)*tan(180/5)*cos(0.5*Dihedral Angle)) GO
Radius of inscribed sphere inside the regular icosahedron
Radius=Length of edge*0.5*cos(180/5)/(sin(180/3)*tan(180/3)*cos(0.5*Dihedral Angle)) GO
Radius of inscribed sphere inside the regular octahedron
Radius=Length of edge*0.5*cos(180/4)/(sin(180/3)*tan(180/3)*cos(0.5*Dihedral Angle)) GO
Radius of inscribed sphere inside regular tetrahedron
Radius=Length of edge*0.5*cos(180/3)/(sin(180/3)*tan(180/3)*cos(0.5*Dihedral Angle)) GO
Radius of circumscribed sphere in a regular dodecahedron
Radius=Length of edge*0.5*sin(180/3)/(sin(180/5)*cos(0.5*Dihedral Angle)) GO
Radius of circumscribed sphere in a regular icosahedron
Radius=Length of edge*0.5*sin(180/5)/(sin(180/3)*cos(0.5*Dihedral Angle)) GO
Radius of circumscribed sphere in a regular octahedron
Radius=Length of edge*0.5*sin(180/4)/(sin(180/3)*cos(0.5*Dihedral Angle)) GO
Radius of circumscribed sphere in regular tetrahedron
Radius=Length of edge*0.5*sin(180/3)/(sin(180/3)*cos(0.5*Dihedral Angle)) GO
Radius of circumscribed sphere in a cube
Radius=Length of edge*0.5*sin(180/3)/(sin(180/4)*cos(0.5*Dihedral Angle)) GO

5 Other formulas that calculate the same Output

Radius of inscribed sphere inside platonic solids
Radius=Length of edge*0.5*cos(180/Number of edges meeting at a vertex)/(sin(180/Number of edges in a face)*tan(180/Number of edges in a face)*cos(0.5*Dihedral Angle)) GO
Radius of inscribed sphere inside the regular dodecahedron
Radius=Length of edge*0.5*cos(180/3)/(sin(180/5)*tan(180/5)*cos(0.5*Dihedral Angle)) GO
Radius of inscribed sphere inside the regular icosahedron
Radius=Length of edge*0.5*cos(180/5)/(sin(180/3)*tan(180/3)*cos(0.5*Dihedral Angle)) GO
Radius of inscribed sphere inside the regular octahedron
Radius=Length of edge*0.5*cos(180/4)/(sin(180/3)*tan(180/3)*cos(0.5*Dihedral Angle)) GO
Radius of inscribed sphere inside regular tetrahedron
Radius=Length of edge*0.5*cos(180/3)/(sin(180/3)*tan(180/3)*cos(0.5*Dihedral Angle)) GO

Radius of inscribed sphere inside the cube Formula

Radius=Length of edge*0.5*cos(180/3)/(sin(180/4)*tan(180/4)*cos(0.5*Dihedral Angle))
More formulas
Volume of a Capsule GO
Volume of a Circular Cone GO
Volume of a Circular Cylinder GO
Volume of a Cube GO
Volume of a Hemisphere GO
Volume of a Sphere GO
Volume of a Pyramid GO
Volume of a Conical Frustum GO
Perimeter of a Parallelogram GO
Perimeter of a Rhombus GO
Perimeter of a Cube GO
Perimeter of a Kite GO
Volume of a Rectangular Prism GO
Chord Length when radius and angle are given GO
Chord length when radius and perpendicular distance are given GO
Perimeter Of Sector GO
Diagonal of a Cube GO
Perimeter Of Parallelepiped GO
Volume of Regular Dodecahedron GO
Volume of Regular Icosahedron GO
Volume of Regular Octahedron GO
Volume of Regular Tetrahedron GO
Volume of Cuboid GO
Volume of a general pyramid GO
Volume of a general prism GO
Volume of a triangular prism GO
The maximum face diagonal length for cubes with a side length S GO
Perimeter of Regular Polygon GO
Inradius of a Regular Polygon GO
Area of regular polygon with perimeter and inradius GO
Interior angle of regular polygon GO
Length of leading diagonal of cuboid GO
Volume of hollow cylinder GO
Volume of Cone GO
Fourth angle of quadrilateral when three angles are given GO
Number of Diagonals GO
Measure of exterior angle of regular polygon GO
Sum of the interior angles of regular polygon GO
Side of regular inscribed polygon GO
Area of regular polygon with perimeter and circumradius GO
Radius of regular polygon GO
Area of a regular polygon when inradius is given GO
Area of a regular polygon when circumradius is given GO
Area of a regular polygon when length of side is given GO
Interior angle of a regular polygon when sum of the interior angles are given GO
Apothem of a regular polygon GO
Apothem of a regular polygon when the circumradius is given GO
Circumradius of a regular polygon when the inradius is given GO
Perimeter of a regular polygon when inradius and area are given GO
Perimeter of a regular polygon when circumradius and area are given GO
Perimeter of a regular polygon when circumradius is given GO
Perimeter of a regular polygon when inradius is given GO
Side of a regular polygon when perimeter is given GO
Side of a regular polygon when area is given GO
Lateral edge length of a Right square pyramid when side length and slant height are given GO
Number Of Edges GO
Number Of Faces GO
Number Of Vertices GO
Distance between 2 points in 3D space GO
Distance between 2 points GO
Area of triangle given 3 points GO
Perimeter of Trapezoid GO
Area of a Heptagon GO
Perimeter of a regular Heptagon GO
Perimeter of a Hexagon GO
Perimeter of a Octagon GO
Shortest distance between two intersecting lines GO
slope of a line of the form ax+by+c=0 GO
slope of a line when equation is of the form x/a +y/b =1 GO

What is a 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. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

How to Calculate Radius of inscribed sphere inside the cube?

Radius of inscribed sphere inside the cube calculator uses Radius=Length of edge*0.5*cos(180/3)/(sin(180/4)*tan(180/4)*cos(0.5*Dihedral Angle)) to calculate the Radius, Radius of inscribed sphere inside the cube is called the inradius of the cube. Radius and is denoted by r symbol.

How to calculate Radius of inscribed sphere inside the cube using this online calculator? To use this online calculator for Radius of inscribed sphere inside the cube, enter Dihedral Angle (θ) and Length of edge (a) and hit the calculate button. Here is how the Radius of inscribed sphere inside the cube calculation can be explained with given input values -> 0.353567 = 1*0.5*cos(180/3)/(sin(180/4)*tan(180/4)*cos(0.5*1)).

FAQ

What is Radius of inscribed sphere inside the cube?
Radius of inscribed sphere inside the cube is called the inradius of the cube and is represented as r=a*0.5*cos(180/3)/(sin(180/4)*tan(180/4)*cos(0.5*θ)) or Radius=Length of edge*0.5*cos(180/3)/(sin(180/4)*tan(180/4)*cos(0.5*Dihedral Angle)). A dihedral angle is the angle between two intersecting planes and The Length of edge of polyhedron. .
How to calculate Radius of inscribed sphere inside the cube?
Radius of inscribed sphere inside the cube is called the inradius of the cube is calculated using Radius=Length of edge*0.5*cos(180/3)/(sin(180/4)*tan(180/4)*cos(0.5*Dihedral Angle)). To calculate Radius of inscribed sphere inside the cube, you need Dihedral Angle (θ) and Length of edge (a). With our tool, you need to enter the respective value for Dihedral Angle and Length of edge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Radius?
In this formula, Radius uses Dihedral Angle and Length of edge. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Radius=Length of edge*0.5*cos(180/Number of edges meeting at a vertex)/(sin(180/Number of edges in a face)*tan(180/Number of edges in a face)*cos(0.5*Dihedral Angle))
  • Radius=Length of edge*0.5*cos(180/4)/(sin(180/3)*tan(180/3)*cos(0.5*Dihedral Angle))
  • Radius=Length of edge*0.5*cos(180/3)/(sin(180/3)*tan(180/3)*cos(0.5*Dihedral Angle))
  • Radius=Length of edge*0.5*cos(180/3)/(sin(180/5)*tan(180/5)*cos(0.5*Dihedral Angle))
  • Radius=Length of edge*0.5*cos(180/5)/(sin(180/3)*tan(180/3)*cos(0.5*Dihedral Angle))
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