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Edge Length of Dodecahedron given Space 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 Space}{\sqrt{3} \cdot (1 + \sqrt{5})}

l_e - Edge Length of Dodecahedron?d_Space - Space Diagonal of Dodecahedron?

Edge Length of Dodecahedron given Space Diagonal Example

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

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

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

9.991 = \frac{2 \cdot 28}{\sqrt{3} \cdot (1 + \sqrt{5})}

9.991m = \frac{2 \cdot 28m}{\sqrt{3} \cdot (1 + \sqrt{5})}

9.991 = \frac{2 \cdot 28}{\sqrt{3} \cdot (1 + \sqrt{5})}

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Edge Length of Dodecahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

l e = \frac{2 \cdot d Space}{\sqrt{3} \cdot (1 + \sqrt{5})}

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 28m}{\sqrt{3} \cdot (1 + \sqrt{5})}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 28}{\sqrt{3} \cdot (1 + \sqrt{5})}

Next Step Evaluate

∴

l e = 9.99101851364652m

LAST Step Rounding Answer

∴

l e = 9.991m

Edge Length of Dodecahedron given Space 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

Space Diagonal of Dodecahedron

The Space Diagonal of Dodecahedron is the line connecting two vertices that are not on the same face of Dodecahedron.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space 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 Space Diagonal?

Edge Length of Dodecahedron given Space Diagonal evaluator uses Edge Length of Dodecahedron = (2*Space Diagonal of Dodecahedron)/(sqrt(3)*(1+sqrt(5))) to evaluate the Edge Length of Dodecahedron, The Edge Length of Dodecahedron given Space 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 space diagonal of Dodecahedron. Edge Length of Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Dodecahedron given Space Diagonal

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

The formula of Edge Length of Dodecahedron given Space Diagonal is expressed as Edge Length of Dodecahedron = (2*Space Diagonal of Dodecahedron)/(sqrt(3)*(1+sqrt(5))). Here is an example- 9.991019 = (2*28)/(sqrt(3)*(1+sqrt(5))).

How to calculate Edge Length of Dodecahedron given Space Diagonal?

With Space Diagonal of Dodecahedron (d_Space) we can find Edge Length of Dodecahedron given Space Diagonal using the formula - Edge Length of Dodecahedron = (2*Space Diagonal of Dodecahedron)/(sqrt(3)*(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 Space Diagonal be negative?

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

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

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

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