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Volume of Great Icosahedron given Surface to Volume Ratio Formula

GoVolume of Great Icosahedron Formula

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

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

Volume of Great Icosahedron given Surface to Volume Ratio Example

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

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

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

13837.972 = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6})}^{3}

13837.972m³ = \frac{25 + (9 \cdot \sqrt{5})}{4} \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})}^{3}

13837.972 = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6})}^{3}

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Volume of Great Icosahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 13837.9720392057m³

LAST Step Rounding Answer

∴

V = 13837.972m³

Volume of Great Icosahedron given Surface to Volume Ratio 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

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 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 Long Ridge Length

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

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

Volume of Great Icosahedron given Surface to Volume Ratio evaluator uses Volume of Great Icosahedron = (25+(9*sqrt(5)))/4*((3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Surface to Volume Ratio of Great Icosahedron))^3 to evaluate the Volume of Great Icosahedron, Volume of Great Icosahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Great Icosahedron, calculated using surface to volume ratio. Volume of Great Icosahedron is denoted by V symbol.

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

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

The formula of Volume of Great Icosahedron given Surface to Volume Ratio is expressed as Volume of Great Icosahedron = (25+(9*sqrt(5)))/4*((3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Surface to Volume Ratio of Great Icosahedron))^3. Here is an example- 13837.97 = (25+(9*sqrt(5)))/4*((3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*0.6))^3.

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

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

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

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

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

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

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