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Total Surface Area of Truncated Icosidodecahedron given Volume Formula

GoTotal Surface Area of Truncated Icosidodecahedron Formula

GoTotal Surface Area of Truncated Icosidodecahedron given Circumsphere Radius Formula

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

TSA = 30 \cdot {(\frac{V}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{2}{3}} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

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

Total Surface Area of Truncated Icosidodecahedron given Volume Example

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

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

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

17608.3479 = 30 \cdot {(\frac{210000}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{2}{3}} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

17608.3479m² = 30 \cdot {(\frac{210000m³}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{2}{3}} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

17608.3479 = 30 \cdot {(\frac{210000}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{2}{3}} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

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Total Surface Area of Truncated Icosidodecahedron given Volume Solution

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

FIRST Step Consider the formula

TSA = 30 \cdot {(\frac{V}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{2}{3}} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

Next Step Substitute values of Variables

∴

TSA = 30 \cdot {(\frac{210000m³}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{2}{3}} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

Next Step Prepare to Evaluate

∴

TSA = 30 \cdot {(\frac{210000}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{2}{3}} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

Next Step Evaluate

∴

TSA = 17608.3479181703m²

LAST Step Rounding Answer

∴

TSA = 17608.3479m²

Total Surface Area of Truncated Icosidodecahedron given Volume Formula Elements

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Total Surface Area of Truncated Icosidodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Truncated Icosidodecahedron

Volume of Truncated Icosidodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Icosidodecahedron

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 Icosidodecahedron

Go Total Surface Area of Truncated Icosidodecahedron

TSA = 30 \cdot {l e}^{2} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

Go Total Surface Area of Truncated Icosidodecahedron given Circumsphere Radius

TSA = 30 \cdot {(\frac{2 \cdot r c}{\sqrt{31 + (12 \cdot \sqrt{5})}})}^{2} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

Go Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius

TSA = 30 \cdot {(\frac{2 \cdot r m}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{2} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

Go Total Surface Area of Truncated Icosidodecahedron given Surface to Volume Ratio

TSA = 30 \cdot {(\frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{R A/V \cdot (19 + (10 \cdot \sqrt{5}))})}^{2} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

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

Total Surface Area of Truncated Icosidodecahedron given Volume evaluator uses Total Surface Area of Truncated Icosidodecahedron = 30*(Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(2/3)*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))) to evaluate the Total Surface Area of Truncated Icosidodecahedron, Total Surface Area of Truncated Icosidodecahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Icosidodecahedron, and calculated using the volume of the Truncated Icosidodecahedron. Total Surface Area of Truncated Icosidodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Truncated Icosidodecahedron given Volume

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

The formula of Total Surface Area of Truncated Icosidodecahedron given Volume is expressed as Total Surface Area of Truncated Icosidodecahedron = 30*(Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(2/3)*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))). Here is an example- 17608.35 = 30*(210000/(5*(19+(10*sqrt(5)))))^(2/3)*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))).

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

With Volume of Truncated Icosidodecahedron (V) we can find Total Surface Area of Truncated Icosidodecahedron given Volume using the formula - Total Surface Area of Truncated Icosidodecahedron = 30*(Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(2/3)*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Truncated Icosidodecahedron=30*Edge Length of Truncated Icosidodecahedron^2*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))
Total Surface Area of Truncated Icosidodecahedron=30*((2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5)))))^2*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))
Total Surface Area of Truncated Icosidodecahedron=30*((2*Midsphere Radius of Truncated Icosidodecahedron)/(sqrt(30+(12*sqrt(5)))))^2*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))

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

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

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

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

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