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Total Surface Area of Great Icosahedron given Volume Formula

GoTotal Surface Area of Great Icosahedron Formula

GoTotal Surface Area of Great Icosahedron given Mid Ridge Length Formula

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

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

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

Total Surface Area of Great Icosahedron given Volume Example

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

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

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

7124.7647 = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{4 \cdot 11000}{25 + (9 \cdot \sqrt{5})})}^{\frac{2}{3}}

7124.7647m² = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{4 \cdot 11000m³}{25 + (9 \cdot \sqrt{5})})}^{\frac{2}{3}}

7124.7647 = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{4 \cdot 11000}{25 + (9 \cdot \sqrt{5})})}^{\frac{2}{3}}

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Total Surface Area of Great Icosahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{4 \cdot 11000m³}{25 + (9 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

TSA = 7124.7646564173m²

LAST Step Rounding Answer

∴

TSA = 7124.7647m²

Total Surface Area of Great Icosahedron given Volume Formula Elements

Variables

Functions

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

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 Total Surface Area of Great Icosahedron

Go Total Surface Area of Great Icosahedron

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {l e}^{2}

Go Total Surface Area of Great Icosahedron given Mid Ridge Length

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

Go Total Surface Area of Great Icosahedron given Long Ridge Length

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

Go Total Surface Area of Great Icosahedron given Short Ridge Length

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{5 \cdot l Ridge(Short)}{\sqrt{10}})}^{2}

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

Total Surface Area of Great Icosahedron given Volume evaluator uses Total Surface Area of Great Icosahedron = 3*sqrt(3)*(5+4*sqrt(5))*((4*Volume of Great Icosahedron)/(25+(9*sqrt(5))))^(2/3) to evaluate the Total Surface Area of Great Icosahedron, Total Surface Area of Great Icosahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Great Icosahedron, calculated using volume. Total Surface Area of Great Icosahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Great Icosahedron given Volume

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

The formula of Total Surface Area of Great Icosahedron given Volume is expressed as Total Surface Area of Great Icosahedron = 3*sqrt(3)*(5+4*sqrt(5))*((4*Volume of Great Icosahedron)/(25+(9*sqrt(5))))^(2/3). Here is an example- 7124.765 = 3*sqrt(3)*(5+4*sqrt(5))*((4*11000)/(25+(9*sqrt(5))))^(2/3).

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

With Volume of Great Icosahedron (V) we can find Total Surface Area of Great Icosahedron given Volume using the formula - Total Surface Area of Great Icosahedron = 3*sqrt(3)*(5+4*sqrt(5))*((4*Volume of Great Icosahedron)/(25+(9*sqrt(5))))^(2/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Great Icosahedron?

Here are the different ways to Calculate Total Surface Area of Great Icosahedron-

Total Surface Area of Great Icosahedron=3*sqrt(3)*(5+4*sqrt(5))*Edge Length of Great Icosahedron^2
Total Surface Area of Great Icosahedron=3*sqrt(3)*(5+4*sqrt(5))*((2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)))^2
Total Surface Area of Great Icosahedron=3*sqrt(3)*(5+4*sqrt(5))*((10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5)))))^2

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

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

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

Total Surface Area of Great Icosahedron given Volume is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Great Icosahedron given Volume can be measured.

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