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Edge Length of Dodecahedron given Face Diagonal Formula

GoEdge Length of Dodecahedron given Circumsphere Radius Formula

GoEdge Length of Dodecahedron given Total Surface Area Formula

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

l e = \frac{2 \cdot d Face}{1 + \sqrt{5}}

l_e - Edge Length of Dodecahedron?d_Face - Face Diagonal of Dodecahedron?

Edge Length of Dodecahedron given Face Diagonal Example

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Here is how the Edge Length of Dodecahedron given Face Diagonal equation looks like with Values.

Here is how the Edge Length of Dodecahedron given Face Diagonal equation looks like with Units.

Here is how the Edge Length of Dodecahedron given Face Diagonal equation looks like.

9.8885 = \frac{2 \cdot 16}{1 + \sqrt{5}}

9.8885m = \frac{2 \cdot 16m}{1 + \sqrt{5}}

9.8885 = \frac{2 \cdot 16}{1 + \sqrt{5}}

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Edge Length of Dodecahedron given Face Diagonal Solution

Follow our step by step solution on how to calculate Edge Length of Dodecahedron given Face Diagonal?

FIRST Step Consider the formula

l e = \frac{2 \cdot d Face}{1 + \sqrt{5}}

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 16}{1 + \sqrt{5}}

Next Step Evaluate

∴

l e = 9.88854381999832m

LAST Step Rounding Answer

∴

l e = 9.8885m

Edge Length of Dodecahedron given Face Diagonal Formula Elements

Variables

Functions

Edge Length of Dodecahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Dodecahedron

Face Diagonal of Dodecahedron

The Face Diagonal of Dodecahedron is defined as the distance between any pair of opposite corners on a particular pentagonal face of the Dodecahedron.

Symbol: d_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Diagonal of Dodecahedron

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 Dodecahedron

Go Edge Length of Dodecahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})}

Go Edge Length of Dodecahedron given Total Surface Area

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

Go Edge Length of Dodecahedron given Volume

l e = {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Edge Length of Dodecahedron given Face Area

l e = \sqrt{\frac{4 \cdot A Face}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Edge Length of Dodecahedron given Face Diagonal?

Edge Length of Dodecahedron given Face Diagonal evaluator uses Edge Length of Dodecahedron = (2*Face Diagonal of Dodecahedron)/(1+sqrt(5)) to evaluate the Edge Length of Dodecahedron, The Edge Length of Dodecahedron given Face Diagonal formula is defined as the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron, and calculated using face diagonal of Dodecahedron. Edge Length of Dodecahedron is denoted by l_e symbol.

How to evaluate Edge Length of Dodecahedron given Face Diagonal using this online evaluator? To use this online evaluator for Edge Length of Dodecahedron given Face Diagonal, enter Face Diagonal of Dodecahedron (d_Face) and hit the calculate button.

FAQs on Edge Length of Dodecahedron given Face Diagonal

What is the formula to find Edge Length of Dodecahedron given Face Diagonal?

The formula of Edge Length of Dodecahedron given Face Diagonal is expressed as Edge Length of Dodecahedron = (2*Face Diagonal of Dodecahedron)/(1+sqrt(5)). Here is an example- 9.888544 = (2*16)/(1+sqrt(5)).

How to calculate Edge Length of Dodecahedron given Face Diagonal?

With Face Diagonal of Dodecahedron (d_Face) we can find Edge Length of Dodecahedron given Face Diagonal using the formula - Edge Length of Dodecahedron = (2*Face Diagonal of Dodecahedron)/(1+sqrt(5)). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Dodecahedron=(4*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))
Edge Length of Dodecahedron=sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))
Edge Length of Dodecahedron=((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3)

Can the Edge Length of Dodecahedron given Face Diagonal be negative?

No, the Edge Length of Dodecahedron given Face Diagonal, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Dodecahedron given Face Diagonal?

Edge Length of Dodecahedron given Face Diagonal 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 Dodecahedron given Face Diagonal can be measured.

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