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Face Diagonal of Dodecahedron given Space Diagonal 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{d Space}{\sqrt{3}}

d_Face - Face Diagonal of Dodecahedron?d_Space - Space Diagonal of Dodecahedron?

Face Diagonal of Dodecahedron given Space Diagonal Example

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

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

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

16.1658 = \frac{28}{\sqrt{3}}

16.1658m = \frac{28m}{\sqrt{3}}

16.1658 = \frac{28}{\sqrt{3}}

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Face Diagonal of Dodecahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

d Face = \frac{d Space}{\sqrt{3}}

Next Step Substitute values of Variables

∴

d Face = \frac{28m}{\sqrt{3}}

Next Step Prepare to Evaluate

∴

d Face = \frac{28}{\sqrt{3}}

Next Step Evaluate

∴

d Face = 16.1658075373095m

LAST Step Rounding Answer

∴

d Face = 16.1658m

Face Diagonal of Dodecahedron given Space Diagonal 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

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 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 Space Diagonal?

Face Diagonal of Dodecahedron given Space Diagonal evaluator uses Face Diagonal of Dodecahedron = Space Diagonal of Dodecahedron/sqrt(3) to evaluate the Face Diagonal of Dodecahedron, The Face Diagonal of Dodecahedron given Space Diagonal formula is defined as the distance between any pair of opposite corners on a particular pentagonal face of the Dodecahedron, and calculated using space diagonal of Dodecahedron. Face Diagonal of Dodecahedron is denoted by d_Face symbol.

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

FAQs on Face Diagonal of Dodecahedron given Space Diagonal

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

The formula of Face Diagonal of Dodecahedron given Space Diagonal is expressed as Face Diagonal of Dodecahedron = Space Diagonal of Dodecahedron/sqrt(3). Here is an example- 16.16581 = 28/sqrt(3).

How to calculate Face Diagonal of Dodecahedron given Space Diagonal?

With Space Diagonal of Dodecahedron (d_Space) we can find Face Diagonal of Dodecahedron given Space Diagonal using the formula - Face Diagonal of Dodecahedron = Space Diagonal of Dodecahedron/sqrt(3). 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 Space Diagonal be negative?

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

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

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

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