Height of a Tetrahedron Calculator

Category	Math ↺
Math	Geometry ↺
Geometry	3D Geometry ↺
3D-Geometry	Tetrahedron ↺

✖The Length of edge of polyhedron. ⓘ Length of edge [a]

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✖Height is the distance between the lowest and highest points of a person standing upright.ⓘ Height of a Tetrahedron [h]

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Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has created this Calculator and 500+ more calculators!

Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 200+ more calculators!

< 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*pi/180)/Number of edges meeting at a vertex)/(sin((180*pi/180)/Number of edges in a face)*tan((180*pi/180)/Number of edges in a face)*cos((0.5*pi/180)*Dihedral Angle)) GO

Radius of circumscribed sphere around platonic solids

Radius=Length of edge*0.5*sin((180*pi/180)/Number of edges meeting at a vertex)/(sin((180*pi/180)/Number of edges in a face)*cos((0.5*pi/180)*Dihedral Angle)) GO

Radius of inscribed sphere inside the regular dodecahedron

Radius=Length of edge*0.5*cos((180/3*pi/180))/(sin((180/5*pi/180))*tan((180/5*pi/180))*cos((0.5*pi/180)*Dihedral Angle)) GO

Radius of inscribed sphere inside the regular octahedron

Radius=Length of edge*0.5*cos((180/4*pi/180))/(sin((180/3*pi/180))*tan((180/3*pi/180))*cos((0.5*pi/180)*Dihedral Angle)) GO

Radius of inscribed sphere inside regular tetrahedron

Radius=Length of edge*0.5*cos((180/3*pi/180))/(sin((180/3*pi/180))*tan((180/3*pi/180))*cos((0.5*pi/180)*Dihedral Angle)) GO

Radius of inscribed sphere inside the cube

Radius=Length of edge*0.5*cos((180/3*pi/180))/(sin((180/4*pi/180))*tan((180/4*pi/180))*cos((0.5*pi/180)*Dihedral Angle)) GO

Radius of circumscribed sphere in a regular dodecahedron

Radius=Length of edge*0.5*sin((180/3)*pi/180)/(sin((180/5)*pi/180)*cos((0.5*pi/180)*Dihedral Angle)) GO

Radius of circumscribed sphere in a regular icosahedron

Radius=Length of edge*0.5*sin((180/5)*pi/180)/(sin((180/3*pi/180))*cos((0.5*pi/180)*Dihedral Angle)) GO

Radius of circumscribed sphere in a regular octahedron

Radius=Length of edge*0.5*sin((180/4*pi/180))/(sin((180/3*pi/180))*cos((0.5*pi/180)*Dihedral Angle)) GO

Radius of circumscribed sphere in a cube

Radius=Length of edge*0.5*sin((180/3)*pi/180)/(sin((180/4)*pi/180)*cos((0.5*pi/180)*Dihedral Angle)) GO

Radius of circumscribed sphere in regular tetrahedron

Radius=Length of edge*0.5*sin((180/3)*pi/180)/(sin((180/3)*pi/180)*cos(0.5*Dihedral Angle)) GO

< 11 Other formulas that calculate the same Output

Height of a trapezoid when area and sum of parallel sides are given

Height=(2*Area)/Sum of parallel sides of a trapezoid GO

Height of a triangular prism when lateral surface area is given

Height=Lateral Surface Area/(Side A+Side B+Side C) GO

Height of an isosceles trapezoid

Height=sqrt(Side C^2-0.25*(Side A-Side B)^2) GO

Altitude of an isosceles triangle

Height=sqrt((Side A)^2+((Side B)^2/4)) GO

Height of a triangular prism when base and volume are given

Height=(2*Volume)/(Base*Length) GO

Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a

Height=4*Radius of Sphere/3 GO

Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere

Height=4*Radius of Sphere/3 GO

Height of Cone circumscribing a sphere such that volume of cone is minimum

Height=4*Radius of Sphere GO

Height of parabolic section that can be cut from a cone for maximum area of parabolic section

Height=0.75*Slant Height GO

Height of a circular cylinder of maximum convex surface area in a given circular cone

Height=Height of Cone/2 GO

Height of Largest right circular cylinder that can be inscribed within a cone

Height=Height of Cone/3 GO

Height of a Tetrahedron Formula

Height=sqrt(2/3)*Length of edge
h=sqrt(2/3)*a

More formulas

Volume of Regular Tetrahedron GO

Surface Area of Regular Tetrahedron GO

Radius of circumscribed sphere in regular tetrahedron GO

Radius of inscribed sphere inside regular tetrahedron GO

Edge of Tetrahedron GO

Face area of Tetrahedron GO

what is a 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

How to Calculate Height of a Tetrahedron?

Height of a Tetrahedron calculator uses Height=sqrt(2/3)*Length of edge to calculate the Height, The Height of a Tetrahedron formula is defined as `h = sqrt(2/3) * a` where:- h = height from the center of any face to the opposite apex (vertex). a = length of any edge. Height and is denoted by h symbol.

How to calculate Height of a Tetrahedron using this online calculator? To use this online calculator for Height of a Tetrahedron, enter Length of edge (a) and hit the calculate button. Here is how the Height of a Tetrahedron calculation can be explained with given input values -> 0.816497 = sqrt(2/3)*1.

FAQ

What is Height of a Tetrahedron?

The Height of a Tetrahedron formula is defined as `h = sqrt(2/3) * a` where:- h = height from the center of any face to the opposite apex (vertex). a = length of any edge and is represented as h=sqrt(2/3)*a or Height=sqrt(2/3)*Length of edge. The Length of edge of polyhedron. .

How to calculate Height of a Tetrahedron?

The Height of a Tetrahedron formula is defined as `h = sqrt(2/3) * a` where:- h = height from the center of any face to the opposite apex (vertex). a = length of any edge is calculated using Height=sqrt(2/3)*Length of edge. To calculate Height of a Tetrahedron, you need Length of edge (a). With our tool, you need to enter the respective value for 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 Height?

In this formula, Height uses Length of edge. We can use 11 other way(s) to calculate the same, which is/are as follows -

Height=4*Radius of Sphere/3
Height=4*Radius of Sphere
Height=Height of Cone/3
Height=4*Radius of Sphere/3
Height=Height of Cone/2
Height=0.75*Slant Height
Height=sqrt(Side C^2-0.25*(Side A-Side B)^2)
Height=(2*Area)/Sum of parallel sides of a trapezoid
Height=sqrt((Side A)^2+((Side B)^2/4))
Height=(2*Volume)/(Base*Length)
Height=Lateral Surface Area/(Side A+Side B+Side C)

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