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Long Ridge Length of Great Icosahedron given Volume 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{4 \cdot V}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

l_Ridge(Long) - Long Ridge Length of Great Icosahedron?V - Volume of Great Icosahedron?

Long Ridge Length of Great Icosahedron given Volume Example

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

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

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

16.4192 = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot {(\frac{4 \cdot 11000}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

16.4192m = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot {(\frac{4 \cdot 11000m³}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

16.4192 = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot {(\frac{4 \cdot 11000}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

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Long Ridge Length of Great Icosahedron given Volume Solution

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

FIRST Step Consider the formula

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot {(\frac{4 \cdot V}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot {(\frac{4 \cdot 11000m³}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot {(\frac{4 \cdot 11000}{25 + (9 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Evaluate

∴

l Ridge(Long) = 16.419187994065m

LAST Step Rounding Answer

∴

l Ridge(Long) = 16.4192m

Long Ridge Length of Great Icosahedron given Volume 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

Volume of Great Icosahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume?

Long Ridge Length of Great Icosahedron given Volume evaluator uses Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*((4*Volume of Great Icosahedron)/(25+(9*sqrt(5))))^(1/3) to evaluate the Long Ridge Length of Great Icosahedron, Long Ridge Length of Great Icosahedron given Volume 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 volume. Long Ridge Length of Great Icosahedron is denoted by l_Ridge(Long) symbol.

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

FAQs on Long Ridge Length of Great Icosahedron given Volume

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

The formula of Long Ridge Length of Great Icosahedron given Volume is expressed as Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*((4*Volume of Great Icosahedron)/(25+(9*sqrt(5))))^(1/3). Here is an example- 16.41919 = (sqrt(2)*(5+(3*sqrt(5))))/10*((4*11000)/(25+(9*sqrt(5))))^(1/3).

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

With Volume of Great Icosahedron (V) we can find Long Ridge Length of Great Icosahedron given Volume using the formula - Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*((4*Volume of Great Icosahedron)/(25+(9*sqrt(5))))^(1/3). 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 Volume be negative?

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

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

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

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