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Edge Length of Tetrahedron given Face Area Formula

GoEdge Length of Tetrahedron given Circumsphere Radius Formula

GoEdge Length of Tetrahedron given Total Surface Area Formula

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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. Check FAQs

l e = \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}

l_e - Edge Length of Tetrahedron?A_Face - Face Area of Tetrahedron?

Edge Length of Tetrahedron given Face Area Example

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Here is how the Edge Length of Tetrahedron given Face Area equation looks like with Values.

Here is how the Edge Length of Tetrahedron given Face Area equation looks like with Units.

Here is how the Edge Length of Tetrahedron given Face Area equation looks like.

10.1943 = \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}

10.1943m = \sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}

10.1943 = \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}

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Edge Length of Tetrahedron given Face Area Solution

Follow our step by step solution on how to calculate Edge Length of Tetrahedron given Face Area?

FIRST Step Consider the formula

l e = \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}

Next Step Evaluate

∴

l e = 10.1942654690827m

LAST Step Rounding Answer

∴

l e = 10.1943m

Edge Length of Tetrahedron given Face Area Formula Elements

Variables

Functions

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.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Tetrahedron

Face Area of Tetrahedron

Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron.

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area of Tetrahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Edge Length of Tetrahedron

Go Edge Length of Tetrahedron given Circumsphere Radius

l e = 2 \cdot \sqrt{\frac{2}{3}} \cdot r c

Go Edge Length of Tetrahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{\sqrt{3}}}

Go Edge Length of Tetrahedron given Volume

l e = {(6 \cdot \sqrt{2} \cdot V)}^{\frac{1}{3}}

How to Evaluate Edge Length of Tetrahedron given Face Area?

Edge Length of Tetrahedron given Face Area evaluator uses Edge Length of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3)) to evaluate 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 evaluate Edge Length of Tetrahedron given Face Area using this online evaluator? To use this online evaluator for Edge Length of Tetrahedron given Face Area, enter Face Area of Tetrahedron (A_Face) and hit the calculate button.

FAQs on Edge Length of Tetrahedron given Face Area

What is the formula to find Edge Length of Tetrahedron given Face Area?

The formula of Edge Length of Tetrahedron given Face Area is expressed as Edge Length of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3)). Here is an example- 10.19427 = sqrt((4*45)/sqrt(3)).

How to calculate Edge Length of Tetrahedron given Face Area?

With Face Area of Tetrahedron (A_Face) we can find Edge Length of Tetrahedron given Face Area using the formula - Edge Length of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Tetrahedron?

Here are the different ways to Calculate Edge Length of Tetrahedron-

Edge Length of Tetrahedron=2*sqrt(2/3)*Circumsphere Radius of Tetrahedron
Edge Length of Tetrahedron=sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))
Edge Length of Tetrahedron=(6*sqrt(2)*Volume of Tetrahedron)^(1/3)

Can the Edge Length of Tetrahedron given Face Area be negative?

No, the Edge Length of Tetrahedron given Face Area, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Tetrahedron given Face Area?

Edge Length of Tetrahedron given Face Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Tetrahedron given Face Area can be measured.

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