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Face Perimeter of Icosahedron given Space Diagonal Formula

GoFace Perimeter of Icosahedron given Surface to Volume Ratio Formula

GoFace Perimeter of Icosahedron given Volume Formula

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Face Perimeter of Icosahedron is the total distance around the five edges of any face of the Icosahedron. Check FAQs

P Face = \frac{6 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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

Face Perimeter of Icosahedron given Space Diagonal Example

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

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

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

29.9667 = \frac{6 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}}

29.9667m = \frac{6 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

29.9667 = \frac{6 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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Face Perimeter of Icosahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

P Face = \frac{6 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

P Face = \frac{6 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

P Face = \frac{6 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

P Face = 29.9666733907906m

LAST Step Rounding Answer

∴

P Face = 29.9667m

Face Perimeter of Icosahedron given Space Diagonal Formula Elements

Variables

Functions

Face Perimeter of Icosahedron

Face Perimeter of Icosahedron is the total distance around the five edges of any face of the Icosahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face 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 Face Perimeter of Icosahedron

Go Face Perimeter of Icosahedron given Surface to Volume Ratio

P Face = \frac{36 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V}

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 given Total Surface Area

P Face = 3 \cdot \sqrt{\frac{TSA}{5 \cdot \sqrt{3}}}

Go Face Perimeter of Icosahedron given Insphere Radius

P Face = \frac{36 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

How to Evaluate Face Perimeter of Icosahedron given Space Diagonal?

Face Perimeter of Icosahedron given Space Diagonal evaluator uses Face Perimeter of Icosahedron = (6*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))) to evaluate the Face Perimeter of Icosahedron, The Face Perimeter of Icosahedron given Space Diagonal formula is defined as the total distance around the three edges of any face of the Icosahedron, and is calculated using the space diagonal of the Icosahedron. Face Perimeter of Icosahedron is denoted by P_Face symbol.

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

FAQs on Face Perimeter of Icosahedron given Space Diagonal

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

The formula of Face Perimeter of Icosahedron given Space Diagonal is expressed as Face Perimeter of Icosahedron = (6*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))). Here is an example- 29.96667 = (6*19)/(sqrt(10+(2*sqrt(5)))).

How to calculate Face Perimeter of Icosahedron given Space Diagonal?

With Space Diagonal of Icosahedron (d_Space) we can find Face Perimeter of Icosahedron given Space Diagonal using the formula - Face Perimeter of Icosahedron = (6*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Face Perimeter of Icosahedron?

Here are the different ways to Calculate Face Perimeter of Icosahedron-

Face Perimeter of Icosahedron=(36*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)
Face Perimeter of Icosahedron=3*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)
Face Perimeter of Icosahedron=3*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3)))

Can the Face Perimeter of Icosahedron given Space Diagonal be negative?

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

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

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

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