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Edge Length of Icosahedron given Face Area 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 = \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}

l_e - Edge Length of Icosahedron?A_Face - Face Area of Icosahedron?

Edge Length of Icosahedron given Face Area Example

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Here is how the Edge Length of Icosahedron given Face Area equation looks like with Values.

Here is how the Edge Length of Icosahedron given Face Area equation looks like with Units.

Here is how the Edge Length of Icosahedron given Face Area equation looks like.

10.1943 = \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}

10.1943m = \sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}

10.1943 = \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}

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Edge Length of Icosahedron given Face Area Solution

Follow our step by step solution on how to calculate Edge Length of Icosahedron given Face Area?

FIRST Step Consider the formula

l e = \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}

Next Step Evaluate

∴

l e = 10.1942654690827m

LAST Step Rounding Answer

∴

l e = 10.1943m

Edge Length of Icosahedron given Face Area 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

Face Area of Icosahedron

The Face Area of Icosahedron is the amount of space occupied by any one of the 12 faces of Icosahedron.

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area 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 Face Area?

Edge Length of Icosahedron given Face Area evaluator uses Edge Length of Icosahedron = sqrt((4*Face Area of Icosahedron)/sqrt(3)) to evaluate the Edge Length of Icosahedron, The Edge Length of Icosahedron given Face Area 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 face area of the Icosahedron. Edge Length of Icosahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Icosahedron given Face Area

What is the formula to find Edge Length of Icosahedron given Face Area?

The formula of Edge Length of Icosahedron given Face Area is expressed as Edge Length of Icosahedron = sqrt((4*Face Area of Icosahedron)/sqrt(3)). Here is an example- 10.19427 = sqrt((4*45)/sqrt(3)).

How to calculate Edge Length of Icosahedron given Face Area?

With Face Area of Icosahedron (A_Face) we can find Edge Length of Icosahedron given Face Area using the formula - Edge Length of Icosahedron = sqrt((4*Face Area of Icosahedron)/sqrt(3)). 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 Face Area be negative?

No, the Edge Length of Icosahedron given Face Area, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Icosahedron given Face Area?

Edge Length of Icosahedron given Face Area 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 Face Area can be measured.

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