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Total Surface Area of Truncated Icosahedron given Volume Formula

GoTotal Surface Area of Truncated Icosahedron Formula

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

TSA = 3 \cdot {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{2}{3}} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

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

Total Surface Area of Truncated Icosahedron given Volume Example

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

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

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

7235.5124 = 3 \cdot {(\frac{4 \cdot 55000}{125 + (43 \cdot \sqrt{5})})}^{\frac{2}{3}} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

7235.5124m² = 3 \cdot {(\frac{4 \cdot 55000m³}{125 + (43 \cdot \sqrt{5})})}^{\frac{2}{3}} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

7235.5124 = 3 \cdot {(\frac{4 \cdot 55000}{125 + (43 \cdot \sqrt{5})})}^{\frac{2}{3}} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

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Total Surface Area of Truncated Icosahedron given Volume Solution

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

FIRST Step Consider the formula

TSA = 3 \cdot {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{2}{3}} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Next Step Substitute values of Variables

∴

TSA = 3 \cdot {(\frac{4 \cdot 55000m³}{125 + (43 \cdot \sqrt{5})})}^{\frac{2}{3}} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Next Step Prepare to Evaluate

∴

TSA = 3 \cdot {(\frac{4 \cdot 55000}{125 + (43 \cdot \sqrt{5})})}^{\frac{2}{3}} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Next Step Evaluate

∴

TSA = 7235.51235252965m²

LAST Step Rounding Answer

∴

TSA = 7235.5124m²

Total Surface Area of Truncated Icosahedron given Volume Formula Elements

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Functions

Total Surface Area of Truncated Icosahedron

Total Surface Area of Truncated Icosahedron is the total quantity of plane enclosed by the entire surface of the Truncated Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Truncated Icosahedron

Volume of Truncated Icosahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated 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 Truncated Icosahedron

Go Total Surface Area of Truncated Icosahedron

TSA = 3 \cdot {l e}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Other formulas in Total Surface Area of Truncated Icosahedron category

Go Edge Length of Truncated Icosahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{58 + (18 \cdot \sqrt{5})}}

Go Edge Length of Truncated Icosahedron given Midsphere Radius

l e = \frac{4 \cdot r m}{3 \cdot (1 + \sqrt{5})}

Go Edge Length of Truncated Icosahedron given Volume

l e = {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Icosahedral Edge Length of Truncated Icosahedron

l e(Icosahedron) = 3 \cdot l e

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

Total Surface Area of Truncated Icosahedron given Volume evaluator uses Total Surface Area of Truncated Icosahedron = 3*((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(2/3)*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))) to evaluate the Total Surface Area of Truncated Icosahedron, Total Surface Area of Truncated Icosahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Icosahedron, and calculated using the volume of the Truncated Icosahedron. Total Surface Area of Truncated Icosahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Truncated Icosahedron given Volume

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

The formula of Total Surface Area of Truncated Icosahedron given Volume is expressed as Total Surface Area of Truncated Icosahedron = 3*((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(2/3)*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))). Here is an example- 7235.512 = 3*((4*55000)/(125+(43*sqrt(5))))^(2/3)*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))).

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

With Volume of Truncated Icosahedron (V) we can find Total Surface Area of Truncated Icosahedron given Volume using the formula - Total Surface Area of Truncated Icosahedron = 3*((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(2/3)*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Truncated Icosahedron=3*Edge Length of Truncated Icosahedron^2*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))

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

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

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

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

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