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Volume of Great Icosahedron given Long Ridge Length Formula

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GoVolume of Great Icosahedron given Mid Ridge Length Formula

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

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

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

Volume of Great Icosahedron given Long Ridge Length Example

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

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

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

12209.1217 = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{10 \cdot 17}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{3}

12209.1217m³ = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{10 \cdot 17m}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{3}

12209.1217 = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{10 \cdot 17}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{3}

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Volume of Great Icosahedron given Long Ridge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{10 \cdot 17m}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{10 \cdot 17}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{3}

Next Step Evaluate

∴

V = 12209.1217075374m³

LAST Step Rounding Answer

∴

V = 12209.1217m³

Volume of Great Icosahedron given Long Ridge Length Formula Elements

Variables

Functions

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

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

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 Volume of Great Icosahedron

Go Volume of Great Icosahedron

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

Go Volume of Great Icosahedron given Mid Ridge Length

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

Go Volume of Great Icosahedron given Short Ridge Length

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

Go Volume of Great Icosahedron given Circumsphere Radius

V = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}})}^{3}

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

Volume of Great Icosahedron given Long Ridge Length evaluator uses Volume of Great Icosahedron = (25+(9*sqrt(5)))/4*((10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5)))))^3 to evaluate the Volume of Great Icosahedron, Volume of Great Icosahedron given Long Ridge Length formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Great Icosahedron, calculated using long ridge length. Volume of Great Icosahedron is denoted by V symbol.

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

FAQs on Volume of Great Icosahedron given Long Ridge Length

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

The formula of Volume of Great Icosahedron given Long Ridge Length is expressed as Volume of Great Icosahedron = (25+(9*sqrt(5)))/4*((10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5)))))^3. Here is an example- 12209.12 = (25+(9*sqrt(5)))/4*((10*17)/(sqrt(2)*(5+(3*sqrt(5)))))^3.

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

With Long Ridge Length of Great Icosahedron (l_Ridge(Long)) we can find Volume of Great Icosahedron given Long Ridge Length using the formula - Volume of Great Icosahedron = (25+(9*sqrt(5)))/4*((10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5)))))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Great Icosahedron?

Here are the different ways to Calculate Volume of Great Icosahedron-

Volume of Great Icosahedron=(25+(9*sqrt(5)))/4*Edge Length of Great Icosahedron^3
Volume of Great Icosahedron=(25+(9*sqrt(5)))/4*((2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)))^3
Volume of Great Icosahedron=(25+(9*sqrt(5)))/4*((5*Short Ridge Length of Great Icosahedron)/sqrt(10))^3

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

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

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

Volume of Great Icosahedron given Long Ridge Length is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Great Icosahedron given Long Ridge Length can be measured.

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