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Space Diagonal of Dodecahedron Formula

GoSpace Diagonal of Dodecahedron given Lateral Surface Area Formula

GoSpace Diagonal of Dodecahedron given Perimeter 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 (1 + \sqrt{5}) \cdot \frac{l e}{2}

d_Space - Space Diagonal of Dodecahedron?l_e - Edge Length of Dodecahedron?

Space Diagonal of Dodecahedron Example

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With units

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

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

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

28.0252 = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{10}{2}

28.0252m = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{10m}{2}

28.0252 = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{10}{2}

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Space Diagonal of Dodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

d Space = 28.0251707688815m

LAST Step Rounding Answer

∴

d Space = 28.0252m

Space Diagonal of Dodecahedron 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

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 Space Diagonal of Dodecahedron

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}

Other formulas in Space Diagonal of Dodecahedron category

Go Face Diagonal of Dodecahedron

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

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})}}}

How to Evaluate Space Diagonal of Dodecahedron?

Space Diagonal of Dodecahedron evaluator uses Space Diagonal of Dodecahedron = sqrt(3)*(1+sqrt(5))*Edge Length of Dodecahedron/2 to evaluate the Space Diagonal of Dodecahedron, The Space Diagonal of Dodecahedron formula is defined as a line connecting two vertices that are not on the same face of Dodecahedron. Space Diagonal of Dodecahedron is denoted by d_Space symbol.

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

FAQs on Space Diagonal of Dodecahedron

What is the formula to find Space Diagonal of Dodecahedron?

The formula of Space Diagonal of Dodecahedron is expressed as Space Diagonal of Dodecahedron = sqrt(3)*(1+sqrt(5))*Edge Length of Dodecahedron/2. Here is an example- 28.02517 = sqrt(3)*(1+sqrt(5))*10/2.

How to calculate Space Diagonal of Dodecahedron?

With Edge Length of Dodecahedron (l_e) we can find Space Diagonal of Dodecahedron using the formula - Space Diagonal of Dodecahedron = sqrt(3)*(1+sqrt(5))*Edge Length of Dodecahedron/2. This formula also uses Square Root Function 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)))/2*sqrt((2*Lateral Surface Area of Dodecahedron)/(5*sqrt(25+(10*sqrt(5)))))
Space Diagonal of Dodecahedron=sqrt(3)*(1+sqrt(5))*Perimeter of Dodecahedron/60

Can the Space Diagonal of Dodecahedron be negative?

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

Which unit is used to measure Space Diagonal of Dodecahedron?

Space 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 Space Diagonal of Dodecahedron can be measured.

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