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Space Diagonal of Dodecahedron given Perimeter Formula

GoSpace Diagonal of Dodecahedron Formula

GoSpace Diagonal of Dodecahedron given Lateral Surface Area 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}{60}

d_Space - Space Diagonal of Dodecahedron?P - Perimeter of Dodecahedron?

Space Diagonal of Dodecahedron given Perimeter Example

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

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

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

28.0252 = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{300}{60}

28.0252m = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{300m}{60}

28.0252 = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{300}{60}

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Space Diagonal of Dodecahedron given Perimeter Solution

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

FIRST Step Consider the formula

d Space = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{P}{60}

Next Step Substitute values of Variables

∴

d Space = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{300m}{60}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{300}{60}

Next Step Evaluate

∴

d Space = 28.0251707688815m

LAST Step Rounding Answer

∴

d Space = 28.0252m

Space Diagonal of Dodecahedron given 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

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 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 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})}}}

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 given Perimeter?

Space Diagonal of Dodecahedron given Perimeter evaluator uses Space Diagonal of Dodecahedron = sqrt(3)*(1+sqrt(5))*Perimeter of Dodecahedron/60 to evaluate the Space Diagonal of Dodecahedron, The Space Diagonal of Dodecahedron given Perimeter formula is defined as the distance from any corner to the opposite and farthest corner of the Dodecahedron, and calculated using the perimeter of the Dodecahedron. Space Diagonal of Dodecahedron is denoted by d_Space symbol.

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

FAQs on Space Diagonal of Dodecahedron given Perimeter

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

The formula of Space Diagonal of Dodecahedron given Perimeter is expressed as Space Diagonal of Dodecahedron = sqrt(3)*(1+sqrt(5))*Perimeter of Dodecahedron/60. Here is an example- 28.02517 = sqrt(3)*(1+sqrt(5))*300/60.

How to calculate Space Diagonal of Dodecahedron given Perimeter?

With Perimeter of Dodecahedron (P) we can find Space Diagonal of Dodecahedron given Perimeter using the formula - Space Diagonal of Dodecahedron = sqrt(3)*(1+sqrt(5))*Perimeter of Dodecahedron/60. 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*sqrt((2*Lateral Surface Area of Dodecahedron)/(5*sqrt(25+(10*sqrt(5)))))

Can the Space Diagonal of Dodecahedron given Perimeter be negative?

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

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

Space 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 Space Diagonal of Dodecahedron given Perimeter can be measured.

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