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Edge Length of Great Icosahedron given Surface to Volume Ratio Formula

GoEdge Length of Great Icosahedron given Mid Ridge Length Formula

GoEdge Length of Great Icosahedron given Long Ridge Length Formula

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Edge Length of Great Icosahedron is the distance between any pair of adjacent peak vertices of the Great Icosahedron. Check FAQs

l e = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot R A/V}

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

Edge Length of Great Icosahedron given Surface to Volume Ratio Example

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

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

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

10.7047 = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6}

10.7047m = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6m⁻¹}

10.7047 = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6}

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Edge Length of Great Icosahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot R A/V}

Next Step Substitute values of Variables

∴

l e = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6m⁻¹}

Next Step Prepare to Evaluate

∴

l e = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6}

Next Step Evaluate

∴

l e = 10.7046626931927m

LAST Step Rounding Answer

∴

l e = 10.7047m

Edge Length of Great Icosahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Edge Length of Great Icosahedron

Edge Length of Great Icosahedron is the distance between any pair of adjacent peak vertices of the Great Icosahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great Icosahedron

Surface to Volume Ratio of Great Icosahedron

Surface to Volume Ratio of Great Icosahedron is the numerical ratio of the total surface area of a Great Icosahedron to the volume of the Great 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 Great 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 Great Icosahedron

Go Edge Length of Great Icosahedron given Mid Ridge Length

l e = \frac{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}}

Go Edge Length of Great Icosahedron given Long Ridge Length

l e = \frac{10 \cdot l Ridge(Long)}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}

Go Edge Length of Great Icosahedron given Short Ridge Length

l e = \frac{5 \cdot l Ridge(Short)}{\sqrt{10}}

Go Edge Length of Great Icosahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}}

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

Edge Length of Great Icosahedron given Surface to Volume Ratio evaluator uses Edge Length of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Surface to Volume Ratio of Great Icosahedron) to evaluate the Edge Length of Great Icosahedron, Edge Length of Great Icosahedron given Surface to Volume Ratio formula is defined as the length of any of the edges of a Great Icosahedron or the distance between any pair of adjacent vertices of the Great Icosahedron, calculated using surface to volume ratio. Edge Length of Great Icosahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Great Icosahedron given Surface to Volume Ratio

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

The formula of Edge Length of Great Icosahedron given Surface to Volume Ratio is expressed as Edge Length of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Surface to Volume Ratio of Great Icosahedron). Here is an example- 10.70466 = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*0.6).

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

With Surface to Volume Ratio of Great Icosahedron (R_A/V) we can find Edge Length of Great Icosahedron given Surface to Volume Ratio using the formula - Edge Length of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Surface to Volume Ratio of Great Icosahedron). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Great Icosahedron?

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

Edge Length of Great Icosahedron=(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))
Edge Length of Great Icosahedron=(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5))))
Edge Length of Great Icosahedron=(5*Short Ridge Length of Great Icosahedron)/sqrt(10)

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

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

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

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

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