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Perimeter of Icosahedron given Space Diagonal Formula

GoPerimeter of Icosahedron Formula

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Perimeter of Icosahedron is the sum of the total distance around all the edges of the Icosahedron. Check FAQs

P = \frac{60 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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

Perimeter of Icosahedron given Space Diagonal Example

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

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

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

299.6667 = \frac{60 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}}

299.6667m = \frac{60 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

299.6667 = \frac{60 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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Perimeter of Icosahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

P = \frac{60 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

P = \frac{60 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

P = \frac{60 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

P = 299.666733907906m

LAST Step Rounding Answer

∴

P = 299.6667m

Perimeter of Icosahedron given Space Diagonal Formula Elements

Variables

Functions

Perimeter of Icosahedron

Perimeter of Icosahedron is the sum of the total distance around all the edges of the Icosahedron.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Icosahedron

Space Diagonal of Icosahedron

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

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Icosahedron

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 Perimeter of Icosahedron

Go Perimeter of Icosahedron

P = 30 \cdot l e

Other formulas in Perimeter of Icosahedron category

Go Face Perimeter of Icosahedron given Circumsphere Radius

P Face = \frac{12 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Go Face Perimeter of Icosahedron given Volume

P Face = 3 \cdot {(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Go Face Perimeter of Icosahedron

P Face = 3 \cdot l e

Go Perimeter of Icosahedron given Volume

P Face = 30 \cdot {(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

How to Evaluate Perimeter of Icosahedron given Space Diagonal?

Perimeter of Icosahedron given Space Diagonal evaluator uses Perimeter of Icosahedron = (60*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))) to evaluate the Perimeter of Icosahedron, The Perimeter of Icosahedron given Space Diagonal formula is defined as the sum of the total distance around all the edges of the Icosahedron and is calculated using the space diagonal of the Icosahedron. Perimeter of Icosahedron is denoted by P symbol.

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

FAQs on Perimeter of Icosahedron given Space Diagonal

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

The formula of Perimeter of Icosahedron given Space Diagonal is expressed as Perimeter of Icosahedron = (60*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))). Here is an example- 299.6667 = (60*19)/(sqrt(10+(2*sqrt(5)))).

How to calculate Perimeter of Icosahedron given Space Diagonal?

With Space Diagonal of Icosahedron (d_Space) we can find Perimeter of Icosahedron given Space Diagonal using the formula - Perimeter of Icosahedron = (60*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Icosahedron?

Here are the different ways to Calculate Perimeter of Icosahedron-

Perimeter of Icosahedron=30*Edge Length of Icosahedron

Can the Perimeter of Icosahedron given Space Diagonal be negative?

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

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

Perimeter of Icosahedron 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 Perimeter of Icosahedron given Space Diagonal can be measured.

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