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Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius Formula

GoTotal Surface Area of Truncated Icosidodecahedron Formula

GoTotal Surface Area of Truncated Icosidodecahedron given Volume 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{2 \cdot r m}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{2} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

TSA - Total Surface Area of Truncated Icosidodecahedron?r_m - Midsphere Radius of Truncated Icosidodecahedron?

Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius Example

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

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

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

16793.5223 = 30 \cdot {(\frac{2 \cdot 37}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{2} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

16793.5223m² = 30 \cdot {(\frac{2 \cdot 37m}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{2} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

16793.5223 = 30 \cdot {(\frac{2 \cdot 37}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{2} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

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Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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})})

Next Step Substitute values of Variables

∴

TSA = 30 \cdot {(\frac{2 \cdot 37m}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{2} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

Next Step Prepare to Evaluate

∴

TSA = 30 \cdot {(\frac{2 \cdot 37}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{2} \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})

Next Step Evaluate

∴

TSA = 16793.5222968515m²

LAST Step Rounding Answer

∴

TSA = 16793.5223m²

Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius Formula Elements

Variables

Functions

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

Midsphere Radius of Truncated Icosidodecahedron

Midsphere Radius of Truncated Icosidodecahedron is the radius of the sphere for which all the edges of the Truncated Icosidodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 Volume

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})})

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 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 Midsphere Radius?

Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius evaluator uses 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)))) to evaluate the Total Surface Area of Truncated Icosidodecahedron, Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Icosidodecahedron, and calculated using the midsphere radius 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 Midsphere Radius using this online evaluator? To use this online evaluator for Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius, enter Midsphere Radius of Truncated Icosidodecahedron (r_m) and hit the calculate button.

FAQs on Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius

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

The formula of Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius is expressed as 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)))). Here is an example- 16793.52 = 30*((2*37)/(sqrt(30+(12*sqrt(5)))))^2*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))).

How to calculate Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius?

With Midsphere Radius of Truncated Icosidodecahedron (r_m) we can find Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius using the formula - 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)))). 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*(Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(2/3)*(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))))

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

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

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

Total Surface Area of Truncated Icosidodecahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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