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Face Diagonal of Dodecahedron given 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}}{60} \cdot P

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

Face Diagonal of Dodecahedron given Perimeter Example

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

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

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

16.1803 = \frac{1 + \sqrt{5}}{60} \cdot 300

16.1803m = \frac{1 + \sqrt{5}}{60} \cdot 300m

16.1803 = \frac{1 + \sqrt{5}}{60} \cdot 300

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Face Diagonal of Dodecahedron given Perimeter Solution

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

FIRST Step Consider the formula

d Face = \frac{1 + \sqrt{5}}{60} \cdot P

Next Step Substitute values of Variables

∴

d Face = \frac{1 + \sqrt{5}}{60} \cdot 300m

Next Step Prepare to Evaluate

∴

d Face = \frac{1 + \sqrt{5}}{60} \cdot 300

Next Step Evaluate

∴

d Face = 16.1803398874989m

LAST Step Rounding Answer

∴

d Face = 16.1803m

Face Diagonal of Dodecahedron given 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

Perimeter of Dodecahedron

Perimeter of Dodecahedron is the sum of the total distance around all the edges of the Dodecahedron.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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 Perimeter?

Face Diagonal of Dodecahedron given Perimeter evaluator uses Face Diagonal of Dodecahedron = (1+sqrt(5))/60*Perimeter of Dodecahedron to evaluate the Face Diagonal of Dodecahedron, The Face Diagonal of Dodecahedron given Perimeter formula is defined as the distance between any pair of opposite corners on a particular square face of the Dodecahedron, and calculated using the perimeter of the Dodecahedron. Face Diagonal of Dodecahedron is denoted by d_Face symbol.

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

FAQs on Face Diagonal of Dodecahedron given Perimeter

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

The formula of Face Diagonal of Dodecahedron given Perimeter is expressed as Face Diagonal of Dodecahedron = (1+sqrt(5))/60*Perimeter of Dodecahedron. Here is an example- 16.18034 = (1+sqrt(5))/60*300.

How to calculate Face Diagonal of Dodecahedron given Perimeter?

With Perimeter of Dodecahedron (P) we can find Face Diagonal of Dodecahedron given Perimeter using the formula - Face Diagonal of Dodecahedron = (1+sqrt(5))/60*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 Perimeter be negative?

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

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

Face Diagonal of Dodecahedron given 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 Perimeter can be measured.

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