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Total Surface Area of Icosidodecahedron given Pentagonal Face Height 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 h Pentagon}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

TSA - Total Surface Area of Icosidodecahedron?h_Pentagon - Pentagonal Face Height of Icosidodecahedron?

Total Surface Area of Icosidodecahedron given Pentagonal Face Height Example

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Here is how the Total Surface Area of Icosidodecahedron given Pentagonal Face Height equation looks like with Values.

Here is how the Total Surface Area of Icosidodecahedron given Pentagonal Face Height equation looks like with Units.

Here is how the Total Surface Area of Icosidodecahedron given Pentagonal Face Height 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 Pentagonal Face Height Solution

Follow our step by step solution on how to calculate Total Surface Area of Icosidodecahedron given Pentagonal Face Height?

FIRST Step Consider the formula

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot h Pentagon}{\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 Pentagonal Face Height 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

Pentagonal Face Height of Icosidodecahedron

Pentagonal Face Height of Icosidodecahedron is the shortest distance between an edge and the vertically opposite corner, of any of the pentagonal faces of the Icosidodecahedron.

Symbol: h_Pentagon

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Face Height 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 Midsphere Radius

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}

How to Evaluate Total Surface Area of Icosidodecahedron given Pentagonal Face Height?

Total Surface Area of Icosidodecahedron given Pentagonal Face Height evaluator uses Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Pentagonal Face Height of Icosidodecahedron)/sqrt(5+(2*sqrt(5))))^2 to evaluate the Total Surface Area of Icosidodecahedron, Total Surface Area of Icosidodecahedron given Pentagonal Face Height formula is defined as the total quantity of plane enclosed on the entire surface of the Icosidodecahedron, and calculated using the pentagonal face height of the Icosidodecahedron. Total Surface Area of Icosidodecahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Icosidodecahedron given Pentagonal Face Height using this online evaluator? To use this online evaluator for Total Surface Area of Icosidodecahedron given Pentagonal Face Height, enter Pentagonal Face Height of Icosidodecahedron (h_Pentagon) and hit the calculate button.

FAQs on Total Surface Area of Icosidodecahedron given Pentagonal Face Height

What is the formula to find Total Surface Area of Icosidodecahedron given Pentagonal Face Height?

The formula of Total Surface Area of Icosidodecahedron given Pentagonal Face Height is expressed as Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Pentagonal Face Height 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 Pentagonal Face Height?

With Pentagonal Face Height of Icosidodecahedron (h_Pentagon) we can find Total Surface Area of Icosidodecahedron given Pentagonal Face Height using the formula - Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Pentagonal Face Height 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 Pentagonal Face Height be negative?

No, the Total Surface Area of Icosidodecahedron given Pentagonal Face Height, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Icosidodecahedron given Pentagonal Face Height?

Total Surface Area of Icosidodecahedron given Pentagonal Face Height 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 Pentagonal Face Height can be measured.

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