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Total Surface Area of Rhombic Triacontahedron given Insphere Radius Formula

GoTotal Surface Area of Rhombic Triacontahedron Formula

GoTotal Surface Area of Rhombic Triacontahedron given Volume Formula

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

TSA = 12 \cdot {(\frac{r i}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{2} \cdot \sqrt{5}

TSA - Total Surface Area of Rhombic Triacontahedron?r_i - Insphere Radius of Rhombic Triacontahedron?

Total Surface Area of Rhombic Triacontahedron given Insphere Radius Example

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Here is how the Total Surface Area of Rhombic Triacontahedron given Insphere Radius equation looks like with Values.

Here is how the Total Surface Area of Rhombic Triacontahedron given Insphere Radius equation looks like with Units.

Here is how the Total Surface Area of Rhombic Triacontahedron given Insphere Radius equation looks like.

2776.1594 = 12 \cdot {(\frac{14}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{2} \cdot \sqrt{5}

2776.1594m² = 12 \cdot {(\frac{14m}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{2} \cdot \sqrt{5}

2776.1594 = 12 \cdot {(\frac{14}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{2} \cdot \sqrt{5}

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Total Surface Area of Rhombic Triacontahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Total Surface Area of Rhombic Triacontahedron given Insphere Radius?

FIRST Step Consider the formula

TSA = 12 \cdot {(\frac{r i}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{2} \cdot \sqrt{5}

Next Step Substitute values of Variables

∴

TSA = 12 \cdot {(\frac{14m}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{2} \cdot \sqrt{5}

Next Step Prepare to Evaluate

∴

TSA = 12 \cdot {(\frac{14}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{2} \cdot \sqrt{5}

Next Step Evaluate

∴

TSA = 2776.15941539753m²

LAST Step Rounding Answer

∴

TSA = 2776.1594m²

Total Surface Area of Rhombic Triacontahedron given Insphere Radius Formula Elements

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Functions

Total Surface Area of Rhombic Triacontahedron

Total Surface Area of Rhombic Triacontahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Triacontahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Rhombic Triacontahedron

Insphere Radius of Rhombic Triacontahedron

Insphere Radius of Rhombic Triacontahedron is the radius of the sphere that is contained by the Rhombic Triacontahedron in such a way that all the faces are just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Rhombic Triacontahedron

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 Rhombic Triacontahedron

Go Total Surface Area of Rhombic Triacontahedron

TSA = 12 \cdot {l e}^{2} \cdot \sqrt{5}

Go Total Surface Area of Rhombic Triacontahedron given Volume

TSA = 12 \cdot {(\frac{V}{4 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{2}{3}} \cdot \sqrt{5}

Go Total Surface Area of Rhombic Triacontahedron given Midsphere Radius

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

How to Evaluate Total Surface Area of Rhombic Triacontahedron given Insphere Radius?

Total Surface Area of Rhombic Triacontahedron given Insphere Radius evaluator uses Total Surface Area of Rhombic Triacontahedron = 12*(Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5))^2*sqrt(5) to evaluate the Total Surface Area of Rhombic Triacontahedron, Total Surface Area of Rhombic Triacontahedron given Insphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Triacontahedron, calculated using insphere radius of Rhombic Triacontahedron. Total Surface Area of Rhombic Triacontahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Rhombic Triacontahedron given Insphere Radius using this online evaluator? To use this online evaluator for Total Surface Area of Rhombic Triacontahedron given Insphere Radius, enter Insphere Radius of Rhombic Triacontahedron (r_i) and hit the calculate button.

FAQs on Total Surface Area of Rhombic Triacontahedron given Insphere Radius

What is the formula to find Total Surface Area of Rhombic Triacontahedron given Insphere Radius?

The formula of Total Surface Area of Rhombic Triacontahedron given Insphere Radius is expressed as Total Surface Area of Rhombic Triacontahedron = 12*(Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5))^2*sqrt(5). Here is an example- 2776.159 = 12*(14/sqrt((5+(2*sqrt(5)))/5))^2*sqrt(5).

How to calculate Total Surface Area of Rhombic Triacontahedron given Insphere Radius?

With Insphere Radius of Rhombic Triacontahedron (r_i) we can find Total Surface Area of Rhombic Triacontahedron given Insphere Radius using the formula - Total Surface Area of Rhombic Triacontahedron = 12*(Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5))^2*sqrt(5). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Rhombic Triacontahedron=12*Edge Length of Rhombic Triacontahedron^2*sqrt(5)
Total Surface Area of Rhombic Triacontahedron=12*((Volume of Rhombic Triacontahedron)/(4*sqrt(5+(2*sqrt(5)))))^(2/3)*sqrt(5)
Total Surface Area of Rhombic Triacontahedron=12*((5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5)))^2*sqrt(5)

Can the Total Surface Area of Rhombic Triacontahedron given Insphere Radius be negative?

No, the Total Surface Area of Rhombic Triacontahedron given Insphere Radius, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Rhombic Triacontahedron given Insphere Radius?

Total Surface Area of Rhombic Triacontahedron given Insphere 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 Rhombic Triacontahedron given Insphere Radius can be measured.

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