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Edge Length of Icosahedron given Surface to Volume Ratio Formula

GoEdge Length of Icosahedron given Circumsphere Radius Formula

GoEdge Length of Icosahedron given Insphere 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{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V}

l_e - Edge Length of Icosahedron?R_A/V - Surface to Volume Ratio of Icosahedron?

Edge Length of Icosahedron given Surface to Volume Ratio Example

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Here is how the Edge Length of Icosahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Edge Length of Icosahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Edge Length of Icosahedron given Surface to Volume Ratio equation looks like.

9.9238 = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4}

9.9238m = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4m⁻¹}

9.9238 = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4}

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Edge Length of Icosahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Edge Length of Icosahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4m⁻¹}

Next Step Prepare to Evaluate

∴

l e = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4}

Next Step Evaluate

∴

l e = 9.92376807374411m

LAST Step Rounding Answer

∴

l e = 9.9238m

Edge Length of Icosahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Icosahedron

The Surface to Volume Ratio of Icosahedron is the numerical ratio of the total surface area to the volume of the Icosahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 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}}

Go Edge Length of Icosahedron given Space Diagonal

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

How to Evaluate Edge Length of Icosahedron given Surface to Volume Ratio?

Edge Length of Icosahedron given Surface to Volume Ratio evaluator uses Edge Length of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron) to evaluate the Edge Length of Icosahedron, The Edge Length of Icosahedron given Surface to Volume Ratio 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 surface-to-volume ratio of the Icosahedron. Edge Length of Icosahedron is denoted by l_e symbol.

How to evaluate Edge Length of Icosahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Edge Length of Icosahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Icosahedron (R_A/V) and hit the calculate button.

FAQs on Edge Length of Icosahedron given Surface to Volume Ratio

What is the formula to find Edge Length of Icosahedron given Surface to Volume Ratio?

The formula of Edge Length of Icosahedron given Surface to Volume Ratio is expressed as Edge Length of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron). Here is an example- 9.923768 = (12*sqrt(3))/((3+sqrt(5))*0.4).

How to calculate Edge Length of Icosahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Icosahedron (R_A/V) we can find Edge Length of Icosahedron given Surface to Volume Ratio using the formula - Edge Length of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron). 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=(4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Edge Length of Icosahedron=(12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))
Edge Length of Icosahedron=(4*Midsphere Radius of Icosahedron)/(1+sqrt(5))

Can the Edge Length of Icosahedron given Surface to Volume Ratio be negative?

No, the Edge Length of Icosahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Icosahedron given Surface to Volume Ratio?

Edge Length of Icosahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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