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Edge Length of Icosidodecahedron given Pentagonal Face Height Formula

GoEdge Length of Icosidodecahedron given Total Surface Area Formula

GoEdge Length of Icosidodecahedron given Volume Formula

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Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron. Check FAQs

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

l_e - Edge Length of Icosidodecahedron?h_Pentagon - Pentagonal Face Height of Icosidodecahedron?

Edge Length of Icosidodecahedron given Pentagonal Face Height Example

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Here is how the Edge Length of Icosidodecahedron given Pentagonal Face Height equation looks like with Values.

Here is how the Edge Length of Icosidodecahedron given Pentagonal Face Height equation looks like with Units.

Here is how the Edge Length of Icosidodecahedron given Pentagonal Face Height equation looks like.

9.7476 = \frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

9.7476m = \frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

9.7476 = \frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

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Edge Length of Icosidodecahedron given Pentagonal Face Height Solution

Follow our step by step solution on how to calculate Edge Length of Icosidodecahedron given Pentagonal Face Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l e = 9.74759088698719m

LAST Step Rounding Answer

∴

l e = 9.7476m

Edge Length of Icosidodecahedron given Pentagonal Face Height Formula Elements

Variables

Functions

Edge Length of Icosidodecahedron

Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Icosidodecahedron

Pentagonal Face Height of Icosidodecahedron

Pentagonal Face Height of Icosidodecahedron is the shortest distance between an edge and the vertically opposite corner, of any of the pentagonal faces of the Icosidodecahedron.

Symbol: h_Pentagon

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Face Height of Icosidodecahedron

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 Icosidodecahedron

Go Edge Length of Icosidodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Edge Length of Icosidodecahedron given Volume

l e = {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Edge Length of Icosidodecahedron given Circumsphere Radius

l e = \frac{2 \cdot r c}{1 + \sqrt{5}}

Go Edge Length of Icosidodecahedron given Midsphere Radius

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

How to Evaluate Edge Length of Icosidodecahedron given Pentagonal Face Height?

Edge Length of Icosidodecahedron given Pentagonal Face Height evaluator uses Edge Length of Icosidodecahedron = (2*Pentagonal Face Height of Icosidodecahedron)/sqrt(5+(2*sqrt(5))) to evaluate the Edge Length of Icosidodecahedron, Edge Length of Icosidodecahedron given Pentagonal Face Height formula is defined as the length of any edge of the Icosidodecahedron, and calculated using the pentagonal face height of the Icosidodecahedron. Edge Length of Icosidodecahedron is denoted by l_e symbol.

How to evaluate Edge Length of Icosidodecahedron given Pentagonal Face Height using this online evaluator? To use this online evaluator for Edge Length of Icosidodecahedron given Pentagonal Face Height, enter Pentagonal Face Height of Icosidodecahedron (h_Pentagon) and hit the calculate button.

FAQs on Edge Length of Icosidodecahedron given Pentagonal Face Height

What is the formula to find Edge Length of Icosidodecahedron given Pentagonal Face Height?

The formula of Edge Length of Icosidodecahedron given Pentagonal Face Height is expressed as Edge Length of Icosidodecahedron = (2*Pentagonal Face Height of Icosidodecahedron)/sqrt(5+(2*sqrt(5))). Here is an example- 9.747591 = (2*15)/sqrt(5+(2*sqrt(5))).

How to calculate Edge Length of Icosidodecahedron given Pentagonal Face Height?

With Pentagonal Face Height of Icosidodecahedron (h_Pentagon) we can find Edge Length of Icosidodecahedron given Pentagonal Face Height using the formula - Edge Length of Icosidodecahedron = (2*Pentagonal Face Height of Icosidodecahedron)/sqrt(5+(2*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Icosidodecahedron=sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Edge Length of Icosidodecahedron=((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)
Edge Length of Icosidodecahedron=(2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5))

Can the Edge Length of Icosidodecahedron given Pentagonal Face Height be negative?

No, the Edge Length of Icosidodecahedron given Pentagonal Face Height, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Icosidodecahedron given Pentagonal Face Height?

Edge Length of Icosidodecahedron given Pentagonal Face Height 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 Icosidodecahedron given Pentagonal Face Height can be measured.

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