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Face Diagonal of Dodecahedron given Face Perimeter Formula

GoFace Diagonal of Dodecahedron Formula

GoFace Diagonal of Dodecahedron given Volume 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}}{10} \cdot P Face

d_Face - Face Diagonal of Dodecahedron?P_Face - Face Perimeter of Dodecahedron?

Face Diagonal of Dodecahedron given Face Perimeter Example

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

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

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

16.1803 = \frac{1 + \sqrt{5}}{10} \cdot 50

16.1803m = \frac{1 + \sqrt{5}}{10} \cdot 50m

16.1803 = \frac{1 + \sqrt{5}}{10} \cdot 50

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Face Diagonal of Dodecahedron given Face Perimeter Solution

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

FIRST Step Consider the formula

d Face = \frac{1 + \sqrt{5}}{10} \cdot P Face

Next Step Substitute values of Variables

∴

d Face = \frac{1 + \sqrt{5}}{10} \cdot 50m

Next Step Prepare to Evaluate

∴

d Face = \frac{1 + \sqrt{5}}{10} \cdot 50

Next Step Evaluate

∴

d Face = 16.1803398874989m

LAST Step Rounding Answer

∴

d Face = 16.1803m

Face Diagonal of Dodecahedron given Face Perimeter 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

Face Perimeter of Dodecahedron

Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter 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

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

Go Face Diagonal of Dodecahedron given Volume

d Face = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

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})}}}

Go Face Diagonal of Dodecahedron given Face Area

d Face = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{4 \cdot A Face}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Face Diagonal of Dodecahedron given Face Perimeter?

Face Diagonal of Dodecahedron given Face Perimeter evaluator uses Face Diagonal of Dodecahedron = (1+sqrt(5))/10*Face Perimeter of Dodecahedron to evaluate the Face Diagonal of Dodecahedron, The Face Diagonal of Dodecahedron given Face Perimeter formula is defined as the distance between any pair of opposite corners on a particular pentagonal face of the Dodecahedron, and calculated using face perimeter of Dodecahedron. Face Diagonal of Dodecahedron is denoted by d_Face symbol.

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

FAQs on Face Diagonal of Dodecahedron given Face Perimeter

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

The formula of Face Diagonal of Dodecahedron given Face Perimeter is expressed as Face Diagonal of Dodecahedron = (1+sqrt(5))/10*Face Perimeter of Dodecahedron. Here is an example- 16.18034 = (1+sqrt(5))/10*50.

How to calculate Face Diagonal of Dodecahedron given Face Perimeter?

With Face Perimeter of Dodecahedron (P_Face) we can find Face Diagonal of Dodecahedron given Face Perimeter using the formula - Face Diagonal of Dodecahedron = (1+sqrt(5))/10*Face Perimeter 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))/2)*Edge Length of Dodecahedron
Face Diagonal of Dodecahedron=(1+sqrt(5))/2*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3)
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 given Face Perimeter be negative?

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

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

Face Diagonal of Dodecahedron given Face Perimeter 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 given Face Perimeter can be measured.

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