FormulaDen.com

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

Edge Length of Rhombic Triacontahedron given Insphere Radius Formula

GoEdge Length of Rhombic Triacontahedron given Total Surface Area Formula

GoEdge Length of Rhombic Triacontahedron given Volume Formula

Fx Copy

LaTeX Copy

Edge Length of Rhombic Triacontahedron is the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron. Check FAQs

l e = \frac{r i}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}}

l_e - Edge Length of Rhombic Triacontahedron?r_i - Insphere Radius of Rhombic Triacontahedron?

Edge Length of Rhombic Triacontahedron given Insphere Radius Example

With values

With units

Only example

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

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

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

10.1716 = \frac{14}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}}

10.1716m = \frac{14m}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}}

10.1716 = \frac{14}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}}

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 Rhombic Triacontahedron given Insphere Radius

Edge Length of Rhombic Triacontahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

l e = \frac{r i}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}}

Next Step Substitute values of Variables

∴

l e = \frac{14m}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}}

Next Step Prepare to Evaluate

∴

l e = \frac{14}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}}

Next Step Evaluate

∴

l e = 10.1715953920751m

LAST Step Rounding Answer

∴

l e = 10.1716m

Edge Length of Rhombic Triacontahedron given Insphere Radius Formula Elements

Variables

Functions

Edge Length of Rhombic Triacontahedron

Edge Length of Rhombic Triacontahedron is the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Rhombic Triacontahedron

Insphere Radius of Rhombic Triacontahedron

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

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Rhombic Triacontahedron

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 Rhombic Triacontahedron

Go Edge Length of Rhombic Triacontahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{12 \cdot \sqrt{5}}}

Go Edge Length of Rhombic Triacontahedron given Volume

l e = {(\frac{V}{4 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{1}{3}}

Go Edge Length of Rhombic Triacontahedron given Midsphere Radius

l e = \frac{5 \cdot r m}{5 + \sqrt{5}}

Go Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio

l e = \frac{3 \cdot \sqrt{5}}{R A/V \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}

How to Evaluate Edge Length of Rhombic Triacontahedron given Insphere Radius?

Edge Length of Rhombic Triacontahedron given Insphere Radius evaluator uses Edge Length of Rhombic Triacontahedron = Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5) to evaluate the Edge Length of Rhombic Triacontahedron, Edge Length of Rhombic Triacontahedron given Insphere Radius formula is defined as the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron, calculated using insphere radius of Rhombic Triacontahedron. Edge Length of Rhombic Triacontahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Rhombic Triacontahedron given Insphere Radius

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

The formula of Edge Length of Rhombic Triacontahedron given Insphere Radius is expressed as Edge Length of Rhombic Triacontahedron = Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5). Here is an example- 10.1716 = 14/sqrt((5+(2*sqrt(5)))/5).

How to calculate Edge Length of Rhombic Triacontahedron given Insphere Radius?

With Insphere Radius of Rhombic Triacontahedron (r_i) we can find Edge Length of Rhombic Triacontahedron given Insphere Radius using the formula - Edge Length of Rhombic Triacontahedron = Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Rhombic Triacontahedron?

Here are the different ways to Calculate Edge Length of Rhombic Triacontahedron-

Edge Length of Rhombic Triacontahedron=sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))
Edge Length of Rhombic Triacontahedron=((Volume of Rhombic Triacontahedron)/(4*sqrt(5+(2*sqrt(5)))))^(1/3)
Edge Length of Rhombic Triacontahedron=(5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5))

Can the Edge Length of Rhombic Triacontahedron given Insphere Radius be negative?

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

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

Edge Length of Rhombic Triacontahedron 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 Rhombic Triacontahedron given Insphere Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit