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Space Diagonal of Dodecahedron given Face Diagonal Formula

GoSpace Diagonal of Dodecahedron Formula

GoSpace Diagonal of Dodecahedron given Volume Formula

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

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

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

Space Diagonal of Dodecahedron given Face Diagonal Example

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

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

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

27.7128 = \sqrt{3} \cdot 16

27.7128m = \sqrt{3} \cdot 16m

27.7128 = \sqrt{3} \cdot 16

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Space Diagonal of Dodecahedron given Face Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Space = \sqrt{3} \cdot 16m

Next Step Prepare to Evaluate

∴

d Space = \sqrt{3} \cdot 16

Next Step Evaluate

∴

d Space = 27.712812921102m

LAST Step Rounding Answer

∴

d Space = 27.7128m

Space Diagonal of Dodecahedron given Face Diagonal Formula Elements

Variables

Functions

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

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

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 Space Diagonal of Dodecahedron

Go Space Diagonal of Dodecahedron

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

Go Space Diagonal of Dodecahedron given Volume

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

Go Space Diagonal of Dodecahedron given Total Surface Area

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

Go Space Diagonal of Dodecahedron given Face Area

d Space = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{12 \cdot A Face}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Space Diagonal of Dodecahedron given Face Diagonal?

Space Diagonal of Dodecahedron given Face Diagonal evaluator uses Space Diagonal of Dodecahedron = sqrt(3)*Face Diagonal of Dodecahedron to evaluate the Space Diagonal of Dodecahedron, The Space Diagonal of Dodecahedron given Face Diagonal formula is defined as a line connecting two vertices that are not on the same face of Dodecahedron, and calculated using face diagonal of Dodecahedron. Space Diagonal of Dodecahedron is denoted by d_Space symbol.

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

FAQs on Space Diagonal of Dodecahedron given Face Diagonal

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

The formula of Space Diagonal of Dodecahedron given Face Diagonal is expressed as Space Diagonal of Dodecahedron = sqrt(3)*Face Diagonal of Dodecahedron. Here is an example- 27.71281 = sqrt(3)*16.

How to calculate Space Diagonal of Dodecahedron given Face Diagonal?

With Face Diagonal of Dodecahedron (d_Face) we can find Space Diagonal of Dodecahedron given Face Diagonal using the formula - Space Diagonal of Dodecahedron = sqrt(3)*Face Diagonal of Dodecahedron. This formula also uses Square Root (sqrt) function(s).

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

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

Space Diagonal of Dodecahedron=sqrt(3)*(1+sqrt(5))*Edge Length of Dodecahedron/2
Space Diagonal of Dodecahedron=sqrt(3)*(1+sqrt(5))/2*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3)
Space Diagonal of Dodecahedron=sqrt(3)*(1+sqrt(5))/2*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))

Can the Space Diagonal of Dodecahedron given Face Diagonal be negative?

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

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

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

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