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Space Diagonal of Dodecahedron given Face Perimeter 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 (1 + \sqrt{5}) \cdot \frac{P Face}{10}

d_Space - Space Diagonal of Dodecahedron?P_Face - Face Perimeter of Dodecahedron?

Space Diagonal of Dodecahedron given Face Perimeter Example

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

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

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

28.0252 = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{50}{10}

28.0252m = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{50m}{10}

28.0252 = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{50}{10}

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Space Diagonal of Dodecahedron given Face Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Space = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{50m}{10}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{50}{10}

Next Step Evaluate

∴

d Space = 28.0251707688815m

LAST Step Rounding Answer

∴

d Space = 28.0252m

Space Diagonal of Dodecahedron given Face Perimeter 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 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 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 Perimeter?

Space Diagonal of Dodecahedron given Face Perimeter evaluator uses Space Diagonal of Dodecahedron = sqrt(3)*(1+sqrt(5))*Face Perimeter of Dodecahedron/10 to evaluate the Space Diagonal of Dodecahedron, The Space Diagonal of Dodecahedron given Face Perimeter formula is defined as a line connecting two vertices that are not on the same face of Dodecahedron, and calculated using face perimeter of Dodecahedron. Space Diagonal of Dodecahedron is denoted by d_Space symbol.

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

FAQs on Space Diagonal of Dodecahedron given Face Perimeter

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

The formula of Space Diagonal of Dodecahedron given Face Perimeter is expressed as Space Diagonal of Dodecahedron = sqrt(3)*(1+sqrt(5))*Face Perimeter of Dodecahedron/10. Here is an example- 28.02517 = sqrt(3)*(1+sqrt(5))*50/10.

How to calculate Space Diagonal of Dodecahedron given Face Perimeter?

With Face Perimeter of Dodecahedron (P_Face) we can find Space Diagonal of Dodecahedron given Face Perimeter using the formula - Space Diagonal of Dodecahedron = sqrt(3)*(1+sqrt(5))*Face Perimeter of Dodecahedron/10. 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 Perimeter be negative?

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

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

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

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