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Volume of Great Icosahedron given Total Surface Area 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 {(\sqrt{\frac{TSA}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}})}^{3}

V - Volume of Great Icosahedron?TSA - Total Surface Area of Great Icosahedron?

Volume of Great Icosahedron given Total Surface Area Example

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

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

Here is how the Volume of Great Icosahedron given Total Surface Area equation looks like.

11174.6941 = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\sqrt{\frac{7200}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}})}^{3}

11174.6941m³ = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\sqrt{\frac{7200m²}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}})}^{3}

11174.6941 = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\sqrt{\frac{7200}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}})}^{3}

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Volume of Great Icosahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\sqrt{\frac{7200m²}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{25 + (9 \cdot \sqrt{5})}{4} \cdot {(\sqrt{\frac{7200}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}})}^{3}

Next Step Evaluate

∴

V = 11174.6941325388m³

LAST Step Rounding Answer

∴

V = 11174.6941m³

Volume of Great Icosahedron given Total Surface Area 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

Total Surface Area of Great Icosahedron

Total Surface Area of Great Icosahedron is the total quantity of plane enclosed on the entire surface of the Great Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Total Surface Area?

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

How to evaluate Volume of Great Icosahedron given Total Surface Area using this online evaluator? To use this online evaluator for Volume of Great Icosahedron given Total Surface Area, enter Total Surface Area of Great Icosahedron (TSA) and hit the calculate button.

FAQs on Volume of Great Icosahedron given Total Surface Area

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

The formula of Volume of Great Icosahedron given Total Surface Area is expressed as Volume of Great Icosahedron = (25+(9*sqrt(5)))/4*(sqrt(Total Surface Area of Great Icosahedron/(3*sqrt(3)*(5+(4*sqrt(5))))))^3. Here is an example- 11174.69 = (25+(9*sqrt(5)))/4*(sqrt(7200/(3*sqrt(3)*(5+(4*sqrt(5))))))^3.

How to calculate Volume of Great Icosahedron given Total Surface Area?

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

Can the Volume of Great Icosahedron given Total Surface Area be negative?

No, the Volume of Great Icosahedron given Total Surface Area, measured in Volume cannot be negative.

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

Volume of Great Icosahedron given Total Surface Area 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 Total Surface Area can be measured.

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