Height of Tetrahedron given Circumsphere Radius Calculator

✖Circumsphere Radius of Tetrahedron is the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere.ⓘ Circumsphere Radius of Tetrahedron [r_c]

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✖Height of Tetrahedron is the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex.ⓘ Height of Tetrahedron given Circumsphere Radius [h]

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Height of Tetrahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Tetrahedron = 4/3*Circumsphere Radius of Tetrahedron
h = 4/3*r_c
This formula uses 2 Variables

Variables Used

Height of Tetrahedron - (Measured in Meter) - Height of Tetrahedron is the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex.
Circumsphere Radius of Tetrahedron - (Measured in Meter) - Circumsphere Radius of Tetrahedron is the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Tetrahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = 4/3*r_c --> 4/3*6

Evaluating ... ...

h = 8

STEP 3: Convert Result to Output's Unit

8 Meter --> No Conversion Required

FINAL ANSWER

8 Meter <-- Height of Tetrahedron

(Calculation completed in 00.004 seconds)

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< Height of Tetrahedron Calculators

Height of Tetrahedron given Face Area

LaTeX Go Height of Tetrahedron = sqrt((8*Face Area of Tetrahedron)/(3*sqrt(3)))

Height of Tetrahedron

LaTeX Go Height of Tetrahedron = sqrt(2/3)*Edge Length of Tetrahedron

Height of Tetrahedron given Circumsphere Radius

LaTeX Go Height of Tetrahedron = 4/3*Circumsphere Radius of Tetrahedron

Height of Tetrahedron given Insphere Radius

LaTeX Go Height of Tetrahedron = 4*Insphere Radius of Tetrahedron

< Height of Tetrahedron Calculators

Height of Tetrahedron given Volume

LaTeX Go Height of Tetrahedron = sqrt(2/3)*(6*sqrt(2)*Volume of Tetrahedron)^(1/3)

Height of Tetrahedron given Face Area

LaTeX Go Height of Tetrahedron = sqrt((8*Face Area of Tetrahedron)/(3*sqrt(3)))

Height of Tetrahedron

LaTeX Go Height of Tetrahedron = sqrt(2/3)*Edge Length of Tetrahedron

Height of Tetrahedron given Circumsphere Radius

LaTeX Go Height of Tetrahedron = 4/3*Circumsphere Radius of Tetrahedron

Height of Tetrahedron given Circumsphere Radius Formula

LaTeX Go

Height of Tetrahedron = 4/3*Circumsphere Radius of Tetrahedron
h = 4/3*r_c

What is a Tetrahedron?

A Tetrahedron is a symmetric and closed three dimensional shape with 4 identical equilateral triangular faces. It is a Platonic solid, which has 4 faces, 4 vertices and 6 edges. At each vertex, three equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

How to Calculate Height of Tetrahedron given Circumsphere Radius?

Height of Tetrahedron given Circumsphere Radius calculator uses Height of Tetrahedron = 4/3*Circumsphere Radius of Tetrahedron to calculate the Height of Tetrahedron, Height of Tetrahedron given Circumsphere Radius formula is defined as the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex, and calculated using the circumsphere radius of the Tetrahedron. Height of Tetrahedron is denoted by h symbol.

How to calculate Height of Tetrahedron given Circumsphere Radius using this online calculator? To use this online calculator for Height of Tetrahedron given Circumsphere Radius, enter Circumsphere Radius of Tetrahedron (r_c) and hit the calculate button. Here is how the Height of Tetrahedron given Circumsphere Radius calculation can be explained with given input values -> 8 = 4/3*6.

FAQ

What is Height of Tetrahedron given Circumsphere Radius?

Height of Tetrahedron given Circumsphere Radius formula is defined as the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex, and calculated using the circumsphere radius of the Tetrahedron and is represented as h = 4/3*r_c or Height of Tetrahedron = 4/3*Circumsphere Radius of Tetrahedron. Circumsphere Radius of Tetrahedron is the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere.

How to calculate Height of Tetrahedron given Circumsphere Radius?

Height of Tetrahedron given Circumsphere Radius formula is defined as the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex, and calculated using the circumsphere radius of the Tetrahedron is calculated using Height of Tetrahedron = 4/3*Circumsphere Radius of Tetrahedron. To calculate Height of Tetrahedron given Circumsphere Radius, you need Circumsphere Radius of Tetrahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius of Tetrahedron 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 of Tetrahedron?

In this formula, Height of Tetrahedron uses Circumsphere Radius of Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Tetrahedron = sqrt(2/3)*Edge Length of Tetrahedron
Height of Tetrahedron = sqrt((8*Face Area of Tetrahedron)/(3*sqrt(3)))
Height of Tetrahedron = 4*Insphere Radius of Tetrahedron

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