Height of Tetrahedron Calculator

✖Edge Length of Tetrahedron is the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron.ⓘ Edge Length of Tetrahedron [l_e]

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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 [h]

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Height of Tetrahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Tetrahedron = sqrt(2/3)*Edge Length of Tetrahedron
h = sqrt(2/3)*l_e
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Edge Length of Tetrahedron - (Measured in Meter) - Edge Length of Tetrahedron is the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Tetrahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(2/3)*l_e --> sqrt(2/3)*10

Evaluating ... ...

h = 8.16496580927726

STEP 3: Convert Result to Output's Unit

8.16496580927726 Meter --> No Conversion Required

FINAL ANSWER

8.16496580927726 ≈ 8.164966 Meter <-- Height of Tetrahedron

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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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 Formula

LaTeX Go

Height of Tetrahedron = sqrt(2/3)*Edge Length of Tetrahedron
h = sqrt(2/3)*l_e

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?

Height of Tetrahedron calculator uses Height of Tetrahedron = sqrt(2/3)*Edge Length of Tetrahedron to calculate the Height of Tetrahedron, Height of Tetrahedron formula is defined as the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex. Height of Tetrahedron is denoted by h symbol.

How to calculate Height of Tetrahedron using this online calculator? To use this online calculator for Height of Tetrahedron, enter Edge Length of Tetrahedron (l_e) and hit the calculate button. Here is how the Height of Tetrahedron calculation can be explained with given input values -> 8.164966 = sqrt(2/3)*10.

FAQ

What is Height of Tetrahedron?

Height of Tetrahedron formula is defined as the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex and is represented as h = sqrt(2/3)*l_e or Height of Tetrahedron = sqrt(2/3)*Edge Length of Tetrahedron. Edge Length of Tetrahedron is the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron.

How to calculate Height of Tetrahedron?

Height of Tetrahedron formula is defined as the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex is calculated using Height of Tetrahedron = sqrt(2/3)*Edge Length of Tetrahedron. To calculate Height of Tetrahedron, you need Edge Length of Tetrahedron (l_e). With our tool, you need to enter the respective value for Edge Length 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 Edge Length of Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Tetrahedron = 4/3*Circumsphere Radius 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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