FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Edge Length of Tetrahedron given Insphere Radius Formula

GoEdge Length of Tetrahedron given Total Surface Area Formula

GoEdge Length of Tetrahedron given Face Area Formula

Fx Copy

LaTeX Copy

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 = 2 \cdot \sqrt{6} \cdot r i

l_e - Edge Length of Tetrahedron?r_i - Insphere Radius of Tetrahedron?

Edge Length of Tetrahedron given Insphere Radius Example

With values

With units

Only example

Here is how the Edge Length of Tetrahedron given Insphere Radius equation looks like with Values.

Here is how the Edge Length of Tetrahedron given Insphere Radius equation looks like with Units.

Here is how the Edge Length of Tetrahedron given Insphere Radius equation looks like.

9.798 = 2 \cdot \sqrt{6} \cdot 2

9.798m = 2 \cdot \sqrt{6} \cdot 2m

9.798 = 2 \cdot \sqrt{6} \cdot 2

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Edge Length of Tetrahedron given Insphere Radius

Edge Length of Tetrahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Edge Length of Tetrahedron given Insphere Radius?

FIRST Step Consider the formula

l e = 2 \cdot \sqrt{6} \cdot r i

Next Step Substitute values of Variables

∴

l e = 2 \cdot \sqrt{6} \cdot 2m

Next Step Prepare to Evaluate

∴

l e = 2 \cdot \sqrt{6} \cdot 2

Next Step Evaluate

∴

l e = 9.79795897113271m

LAST Step Rounding Answer

∴

l e = 9.798m

Edge Length of Tetrahedron given Insphere Radius 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

Insphere Radius of Tetrahedron

Insphere Radius of Tetrahedron is the radius of the sphere that is contained by the Tetrahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius 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 Total Surface Area

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

Go Edge Length of Tetrahedron given Face Area

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

Go Edge Length of Tetrahedron given Height

l e = \sqrt{\frac{3}{2}} \cdot h

Go Edge Length of Tetrahedron given Midsphere Radius

l e = 2 \cdot \sqrt{2} \cdot r m

How to Evaluate Edge Length of Tetrahedron given Insphere Radius?

Edge Length of Tetrahedron given Insphere Radius evaluator uses Edge Length of Tetrahedron = 2*sqrt(6)*Insphere Radius of Tetrahedron to evaluate the Edge Length of Tetrahedron, The Edge Length of Tetrahedron given Insphere Radius 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 insphere radius of the Tetrahedron. Edge Length of Tetrahedron is denoted by l_e symbol.

How to evaluate Edge Length of Tetrahedron given Insphere Radius using this online evaluator? To use this online evaluator for Edge Length of Tetrahedron given Insphere Radius, enter Insphere Radius of Tetrahedron (r_i) and hit the calculate button.

FAQs on Edge Length of Tetrahedron given Insphere Radius

What is the formula to find Edge Length of Tetrahedron given Insphere Radius?

The formula of Edge Length of Tetrahedron given Insphere Radius is expressed as Edge Length of Tetrahedron = 2*sqrt(6)*Insphere Radius of Tetrahedron. Here is an example- 9.797959 = 2*sqrt(6)*2.

How to calculate Edge Length of Tetrahedron given Insphere Radius?

With Insphere Radius of Tetrahedron (r_i) we can find Edge Length of Tetrahedron given Insphere Radius using the formula - Edge Length of Tetrahedron = 2*sqrt(6)*Insphere Radius of Tetrahedron. 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=sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))
Edge Length of Tetrahedron=sqrt((4*Face Area of Tetrahedron)/sqrt(3))
Edge Length of Tetrahedron=sqrt(3/2)*Height of Tetrahedron

Can the Edge Length of Tetrahedron given Insphere Radius be negative?

No, the Edge Length of Tetrahedron given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Tetrahedron given Insphere Radius?

Edge Length of Tetrahedron given Insphere Radius 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 Insphere Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit