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Edge Length of Icosahedron given Volume Formula

GoEdge Length of Icosahedron given Circumsphere Radius Formula

GoEdge Length of Icosahedron given Face Perimeter 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{\frac{12}{5} \cdot V}{3 + \sqrt{5}})}^{\frac{1}{3}}

l_e - Edge Length of Icosahedron?V - Volume of Icosahedron?

Edge Length of Icosahedron given Volume Example

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

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

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

10.0279 = {(\frac{\frac{12}{5} \cdot 2200}{3 + \sqrt{5}})}^{\frac{1}{3}}

10.0279m = {(\frac{\frac{12}{5} \cdot 2200m³}{3 + \sqrt{5}})}^{\frac{1}{3}}

10.0279 = {(\frac{\frac{12}{5} \cdot 2200}{3 + \sqrt{5}})}^{\frac{1}{3}}

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Edge Length of Icosahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = {(\frac{\frac{12}{5} \cdot 2200m³}{3 + \sqrt{5}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

l e = {(\frac{\frac{12}{5} \cdot 2200}{3 + \sqrt{5}})}^{\frac{1}{3}}

Next Step Evaluate

∴

l e = 10.0278897097645m

LAST Step Rounding Answer

∴

l e = 10.0279m

Edge Length of Icosahedron given Volume 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

Volume of Icosahedron

Volume of Icosahedron is the total quantity of three dimensional space enclosed by the surface of the Icosahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Face Perimeter

l e = \frac{P Face}{3}

Go Edge Length of Icosahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{5 \cdot \sqrt{3}}}

How to Evaluate Edge Length of Icosahedron given Volume?

Edge Length of Icosahedron given Volume evaluator uses Edge Length of Icosahedron = ((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(1/3) to evaluate the Edge Length of Icosahedron, The Edge Length of Icosahedron given Volume 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 volume of the Icosahedron. Edge Length of Icosahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Icosahedron given Volume

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

The formula of Edge Length of Icosahedron given Volume is expressed as Edge Length of Icosahedron = ((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(1/3). Here is an example- 10.02789 = ((12/5*2200)/(3+sqrt(5)))^(1/3).

How to calculate Edge Length of Icosahedron given Volume?

With Volume of Icosahedron (V) we can find Edge Length of Icosahedron given Volume using the formula - Edge Length of Icosahedron = ((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(1/3). 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=(4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Edge Length of Icosahedron=Face Perimeter of Icosahedron/3
Edge Length of Icosahedron=sqrt(Total Surface Area of Icosahedron/(5*sqrt(3)))

Can the Edge Length of Icosahedron given Volume be negative?

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

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

Edge Length of Icosahedron given Volume 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 Volume can be measured.

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