Edge Length of Tetrahedron given Face Area Calculator

✖Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron.ⓘ Face Area of Tetrahedron [A_Face]

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✖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 given Face Area [l_e]

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Edge Length of Tetrahedron given Face Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))
l_e = sqrt((4*A_Face)/sqrt(3))
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

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.
Face Area of Tetrahedron - (Measured in Square Meter) - Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Face Area of Tetrahedron: 45 Square Meter --> 45 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt((4*A_Face)/sqrt(3)) --> sqrt((4*45)/sqrt(3))

Evaluating ... ...

l_e = 10.1942654690827

STEP 3: Convert Result to Output's Unit

10.1942654690827 Meter --> No Conversion Required

FINAL ANSWER

10.1942654690827 ≈ 10.19427 Meter <-- Edge Length of Tetrahedron

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Edge Length of Tetrahedron Calculators

Edge Length of Tetrahedron given Total Surface Area

LaTeX Go Edge Length of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))

Edge Length of Tetrahedron given Face Area

LaTeX Go Edge Length of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))

Edge Length of Tetrahedron given Midsphere Radius

LaTeX Go Edge Length of Tetrahedron = 2*sqrt(2)*Midsphere Radius of Tetrahedron

Edge Length of Tetrahedron given Height

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

< Edge Length of Tetrahedron Calculators

Edge Length of Tetrahedron given Total Surface Area

LaTeX Go Edge Length of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))

Edge Length of Tetrahedron given Face Area

LaTeX Go Edge Length of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))

Edge Length of Tetrahedron given Circumsphere Radius

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

Edge Length of Tetrahedron given Volume

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

Edge Length of Tetrahedron given Face Area Formula

LaTeX Go

Edge Length of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))
l_e = sqrt((4*A_Face)/sqrt(3))

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 Edge Length of Tetrahedron given Face Area?

Edge Length of Tetrahedron given Face Area calculator uses Edge Length of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3)) to calculate the Edge Length of Tetrahedron, The Edge Length of Tetrahedron given Face Area formula is defined as the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron, and calculated using the face area of the Tetrahedron. Edge Length of Tetrahedron is denoted by l_e symbol.

How to calculate Edge Length of Tetrahedron given Face Area using this online calculator? To use this online calculator for Edge Length of Tetrahedron given Face Area, enter Face Area of Tetrahedron (A_Face) and hit the calculate button. Here is how the Edge Length of Tetrahedron given Face Area calculation can be explained with given input values -> 10.19427 = sqrt((4*45)/sqrt(3)).

FAQ

What is Edge Length of Tetrahedron given Face Area?

The Edge Length of Tetrahedron given Face Area formula is defined as the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron, and calculated using the face area of the Tetrahedron and is represented as l_e = sqrt((4*A_Face)/sqrt(3)) or Edge Length of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3)). Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron.

How to calculate Edge Length of Tetrahedron given Face Area?

The Edge Length of Tetrahedron given Face Area formula is defined as the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron, and calculated using the face area of the Tetrahedron is calculated using Edge Length of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3)). To calculate Edge Length of Tetrahedron given Face Area, you need Face Area of Tetrahedron (A_Face). With our tool, you need to enter the respective value for Face Area 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 Edge Length of Tetrahedron?

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

Edge Length of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))
Edge Length of Tetrahedron = sqrt(3/2)*Height of Tetrahedron
Edge Length of Tetrahedron = 2*sqrt(2)*Midsphere Radius of Tetrahedron

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