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Total Surface Area of Icosidodecahedron given Midsphere Radius Formula

GoTotal Surface Area of Icosidodecahedron Formula

GoTotal Surface Area of Icosidodecahedron given Volume Formula

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

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot r m}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

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

Total Surface Area of Icosidodecahedron given Midsphere Radius Example

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

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

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

2784.5234 = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

2784.5234m² = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

2784.5234 = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

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Total Surface Area of Icosidodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot r m}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

Next Step Substitute values of Variables

∴

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

Next Step Evaluate

∴

TSA = 2784.52343650107m²

LAST Step Rounding Answer

∴

TSA = 2784.5234m²

Total Surface Area of Icosidodecahedron given Midsphere Radius Formula Elements

Variables

Functions

Total Surface Area of Icosidodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Icosidodecahedron

Midsphere Radius of Icosidodecahedron

Midsphere Radius of Icosidodecahedron is the radius of the sphere for which all the edges of the 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 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 Icosidodecahedron

Go Total Surface Area of Icosidodecahedron

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

Go Total Surface Area of Icosidodecahedron given Volume

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{2}{3}}

Go Total Surface Area of Icosidodecahedron given Circumsphere Radius

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot r c}{1 + \sqrt{5}})}^{2}

Go Total Surface Area of Icosidodecahedron given Surface to Volume Ratio

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

How to Evaluate Total Surface Area of Icosidodecahedron given Midsphere Radius?

Total Surface Area of Icosidodecahedron given Midsphere Radius evaluator uses Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5)))))^2 to evaluate the Total Surface Area of Icosidodecahedron, Total Surface Area of Icosidodecahedron given Midsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Icosidodecahedron, and calculated using the midsphere radius of the Icosidodecahedron. Total Surface Area of Icosidodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Icosidodecahedron given Midsphere Radius

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

The formula of Total Surface Area of Icosidodecahedron given Midsphere Radius is expressed as Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5)))))^2. Here is an example- 2784.523 = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*15)/(sqrt(5+(2*sqrt(5)))))^2.

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

With Midsphere Radius of Icosidodecahedron (r_m) we can find Total Surface Area of Icosidodecahedron given Midsphere Radius using the formula - Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5)))))^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Icosidodecahedron=((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Icosidodecahedron^2
Total Surface Area of Icosidodecahedron=((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(2/3)
Total Surface Area of Icosidodecahedron=((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5)))^2

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

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

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

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

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