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Edge Length of Icosahedron given Space Diagonal Formula

GoEdge Length of Icosahedron given Surface to Volume Ratio Formula

GoEdge Length of Icosahedron given Circumsphere Radius Formula

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Edge Length of Icosahedron is the length of any of edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron. Check FAQs

l e = \frac{2 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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

Edge Length of Icosahedron given Space Diagonal Example

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

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

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

9.9889 = \frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}}

9.9889m = \frac{2 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

9.9889 = \frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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Edge Length of Icosahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

l e = \frac{2 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l e = 9.98889113026354m

LAST Step Rounding Answer

∴

l e = 9.9889m

Edge Length of Icosahedron given Space Diagonal Formula Elements

Variables

Functions

Edge Length of Icosahedron

Edge Length of Icosahedron is the length of any of edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 Edge Length of Icosahedron

Go Edge Length of Icosahedron given Surface to Volume Ratio

l e = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V}

Go Edge Length of Icosahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Go Edge Length of Icosahedron given Insphere Radius

l e = \frac{12 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Edge Length of Icosahedron given Midsphere Radius

l e = \frac{4 \cdot r m}{1 + \sqrt{5}}

How to Evaluate Edge Length of Icosahedron given Space Diagonal?

Edge Length of Icosahedron given Space Diagonal evaluator uses Edge Length of Icosahedron = (2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))) to evaluate the Edge Length of Icosahedron, The Edge Length of Icosahedron given Space Diagonal formula is defined as the length of any of the edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron and is calculated using the space diagonal of the Icosahedron. Edge Length of Icosahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Icosahedron given Space Diagonal

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

The formula of Edge Length of Icosahedron given Space Diagonal is expressed as Edge Length of Icosahedron = (2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))). Here is an example- 9.988891 = (2*19)/(sqrt(10+(2*sqrt(5)))).

How to calculate Edge Length of Icosahedron given Space Diagonal?

With Space Diagonal of Icosahedron (d_Space) we can find Edge Length of Icosahedron given Space Diagonal using the formula - Edge Length of Icosahedron = (2*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 Edge Length of Icosahedron?

Here are the different ways to Calculate Edge Length of Icosahedron-

Edge Length of Icosahedron=(12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)
Edge Length of Icosahedron=(4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Edge Length of Icosahedron=(12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))

Can the Edge Length of Icosahedron given Space Diagonal be negative?

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

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

Edge Length 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 Edge Length of Icosahedron given Space Diagonal can be measured.

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