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Total Surface Area of Rhombic Triacontahedron given Midsphere 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{5 \cdot r m}{5 + \sqrt{5}})}^{2} \cdot \sqrt{5}

TSA - Total Surface Area of Rhombic Triacontahedron?r_m - Midsphere Radius of Rhombic Triacontahedron?

Total Surface Area of Rhombic Triacontahedron given Midsphere Radius Example

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

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

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

2882.5941 = 12 \cdot {(\frac{5 \cdot 15}{5 + \sqrt{5}})}^{2} \cdot \sqrt{5}

2882.5941m² = 12 \cdot {(\frac{5 \cdot 15m}{5 + \sqrt{5}})}^{2} \cdot \sqrt{5}

2882.5941 = 12 \cdot {(\frac{5 \cdot 15}{5 + \sqrt{5}})}^{2} \cdot \sqrt{5}

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Total Surface Area of Rhombic Triacontahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 12 \cdot {(\frac{5 \cdot 15m}{5 + \sqrt{5}})}^{2} \cdot \sqrt{5}

Next Step Prepare to Evaluate

∴

TSA = 12 \cdot {(\frac{5 \cdot 15}{5 + \sqrt{5}})}^{2} \cdot \sqrt{5}

Next Step Evaluate

∴

TSA = 2882.59413609269m²

LAST Step Rounding Answer

∴

TSA = 2882.5941m²

Total Surface Area of Rhombic Triacontahedron given Midsphere Radius Formula Elements

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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

Midsphere Radius of Rhombic Triacontahedron

Midsphere Radius of Rhombic Triacontahedron is the radius of the sphere for which all the edges of the Rhombic Triacontahedron 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 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 Insphere Radius

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

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

Total Surface Area of Rhombic Triacontahedron given Midsphere Radius evaluator uses Total Surface Area of Rhombic Triacontahedron = 12*((5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5)))^2*sqrt(5) to evaluate the Total Surface Area of Rhombic Triacontahedron, Total Surface Area of Rhombic Triacontahedron given Midsphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Triacontahedron, calculated using midsphere 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 Midsphere Radius using this online evaluator? To use this online evaluator for Total Surface Area of Rhombic Triacontahedron given Midsphere Radius, enter Midsphere Radius of Rhombic Triacontahedron (r_m) and hit the calculate button.

FAQs on Total Surface Area of Rhombic Triacontahedron given Midsphere Radius

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

The formula of Total Surface Area of Rhombic Triacontahedron given Midsphere Radius is expressed as Total Surface Area of Rhombic Triacontahedron = 12*((5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5)))^2*sqrt(5). Here is an example- 2882.594 = 12*((5*15)/(5+sqrt(5)))^2*sqrt(5).

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

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

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

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

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

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

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