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Face Diagonal of Dodecahedron Formula

GoFace Diagonal of Dodecahedron given Insphere Radius Formula

GoFace Diagonal of Dodecahedron given Total Surface Area Formula

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

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

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

Face Diagonal of Dodecahedron Example

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

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

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

16.1803 = (\frac{1 + \sqrt{5}}{2}) \cdot 10

16.1803m = (\frac{1 + \sqrt{5}}{2}) \cdot 10m

16.1803 = (\frac{1 + \sqrt{5}}{2}) \cdot 10

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Face Diagonal of Dodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Face = (\frac{1 + \sqrt{5}}{2}) \cdot 10m

Next Step Prepare to Evaluate

∴

d Face = (\frac{1 + \sqrt{5}}{2}) \cdot 10

Next Step Evaluate

∴

d Face = 16.1803398874989m

LAST Step Rounding Answer

∴

d Face = 16.1803m

Face Diagonal of Dodecahedron Formula Elements

Variables

Functions

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

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

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 Face Diagonal of Dodecahedron

Go Face Diagonal of Dodecahedron given Insphere Radius

d Face = (1 + \sqrt{5}) \cdot \frac{r i}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

Go Face Diagonal of Dodecahedron given Total Surface Area

d Face = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Other formulas in Face Diagonal of Dodecahedron category

Go Space Diagonal of Dodecahedron

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

Go Space Diagonal of Dodecahedron given Lateral Surface Area

d Space = \frac{\sqrt{3} \cdot (1 + \sqrt{5})}{2} \cdot \sqrt{\frac{2 \cdot LSA}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Space Diagonal of Dodecahedron given Perimeter

d Space = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{P}{60}

How to Evaluate Face Diagonal of Dodecahedron?

Face Diagonal of Dodecahedron evaluator uses Face Diagonal of Dodecahedron = ((1+sqrt(5))/2)*Edge Length of Dodecahedron to evaluate the Face Diagonal of Dodecahedron, The Face Diagonal of Dodecahedron formula is defined as the distance between any pair of opposite corners on a particular pentagonal face of the Dodecahedron. Face Diagonal of Dodecahedron is denoted by d_Face symbol.

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

FAQs on Face Diagonal of Dodecahedron

What is the formula to find Face Diagonal of Dodecahedron?

The formula of Face Diagonal of Dodecahedron is expressed as Face Diagonal of Dodecahedron = ((1+sqrt(5))/2)*Edge Length of Dodecahedron. Here is an example- 16.18034 = ((1+sqrt(5))/2)*10.

How to calculate Face Diagonal of Dodecahedron?

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

What are the other ways to Calculate Face Diagonal of Dodecahedron?

Here are the different ways to Calculate Face Diagonal of Dodecahedron-

Face Diagonal of Dodecahedron=(1+sqrt(5))*Insphere Radius of Dodecahedron/sqrt((25+(11*sqrt(5)))/10)
Face Diagonal of Dodecahedron=(1+sqrt(5))/2*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))

Can the Face Diagonal of Dodecahedron be negative?

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

Which unit is used to measure Face Diagonal of Dodecahedron?

Face Diagonal of Dodecahedron is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Face Diagonal of Dodecahedron can be measured.

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