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Long Ridge Length of Great Icosahedron given Surface to Volume Ratio Formula

GoLong Ridge Length of Great Icosahedron Formula

GoLong Ridge Length of Great Icosahedron given Mid Ridge Length Formula

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Long Ridge Length of Great Icosahedron is the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of Great Icosahedron is attached. Check FAQs

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \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_Ridge(Long) - Long Ridge Length of Great Icosahedron?R_A/V - Surface to Volume Ratio of Great Icosahedron?

Long Ridge Length of Great Icosahedron given Surface to Volume Ratio Example

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

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

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

17.7247 = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6}

17.7247m = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6m⁻¹}

17.7247 = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \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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Long Ridge Length of Great Icosahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \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 Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \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 Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \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 Ridge(Long) = 17.7246742889676m

LAST Step Rounding Answer

∴

l Ridge(Long) = 17.7247m

Long Ridge Length of Great Icosahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Long Ridge Length of Great Icosahedron

Long Ridge Length of Great Icosahedron is the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of Great Icosahedron is attached.

Symbol: l_Ridge(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Ridge 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 Long Ridge Length of Great Icosahedron

Go Long Ridge Length of Great Icosahedron

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

Go Long Ridge Length of Great Icosahedron given Mid Ridge Length

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}}

Go Long Ridge Length of Great Icosahedron given Short Ridge Length

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

Go Long Ridge Length of Great Icosahedron given Circumsphere Radius

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}}

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

Long Ridge Length of Great Icosahedron given Surface to Volume Ratio evaluator uses Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Surface to Volume Ratio of Great Icosahedron) to evaluate the Long Ridge Length of Great Icosahedron, Long Ridge Length of Great Icosahedron given Surface to Volume Ratio formula is defined as the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of the Great Icosahedron is attached, calculated using surface to volume ratio. Long Ridge Length of Great Icosahedron is denoted by l_Ridge(Long) symbol.

How to evaluate Long Ridge Length of Great Icosahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Long Ridge 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 Long Ridge Length of Great Icosahedron given Surface to Volume Ratio

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

The formula of Long Ridge Length of Great Icosahedron given Surface to Volume Ratio is expressed as Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Surface to Volume Ratio of Great Icosahedron). Here is an example- 17.72467 = (sqrt(2)*(5+(3*sqrt(5))))/10*(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*0.6).

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

With Surface to Volume Ratio of Great Icosahedron (R_A/V) we can find Long Ridge Length of Great Icosahedron given Surface to Volume Ratio using the formula - Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*(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 Long Ridge Length of Great Icosahedron?

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

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

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

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

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

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

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