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Total Surface Area of Icosidodecahedron given Pentagonal Face Diagonal 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 d Pentagon}{1 + \sqrt{5}})}^{2}

TSA - Total Surface Area of Icosidodecahedron?d_Pentagon - Pentagonal Face Diagonal of Icosidodecahedron?

Total Surface Area of Icosidodecahedron given Pentagonal Face Diagonal Example

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

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

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

2865.6357 = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{2}

2865.6357m² = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot 16m}{1 + \sqrt{5}})}^{2}

2865.6357 = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{2}

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Total Surface Area of Icosidodecahedron given Pentagonal Face Diagonal Solution

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

FIRST Step Consider the formula

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot d Pentagon}{1 + \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 16m}{1 + \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 16}{1 + \sqrt{5}})}^{2}

Next Step Evaluate

∴

TSA = 2865.63567949697m²

LAST Step Rounding Answer

∴

TSA = 2865.6357m²

Total Surface Area of Icosidodecahedron given Pentagonal Face Diagonal Formula Elements

Variables

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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 Diagonal of Icosidodecahedron

Pentagonal Face Diagonal of Icosidodecahedron is the distance between any pair of non adjacent vertices of any of the pentagonal faces of the Icosidodecahedron.

Symbol: d_Pentagon

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Face Diagonal 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 Diagonal?

Total Surface Area of Icosidodecahedron given Pentagonal Face Diagonal evaluator uses Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Pentagonal Face Diagonal of Icosidodecahedron)/(1+sqrt(5)))^2 to evaluate the Total Surface Area of Icosidodecahedron, Total Surface Area of Icosidodecahedron given Pentagonal Face Diagonal formula is defined as the total quantity of plane enclosed on the entire surface of the Icosidodecahedron, and calculated using the pentagonal face diagonal of the Icosidodecahedron. Total Surface Area of Icosidodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Icosidodecahedron given Pentagonal Face Diagonal

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

The formula of Total Surface Area of Icosidodecahedron given Pentagonal Face Diagonal is expressed as Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Pentagonal Face Diagonal of Icosidodecahedron)/(1+sqrt(5)))^2. Here is an example- 2865.636 = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*16)/(1+sqrt(5)))^2.

How to calculate Total Surface Area of Icosidodecahedron given Pentagonal Face Diagonal?

With Pentagonal Face Diagonal of Icosidodecahedron (d_Pentagon) we can find Total Surface Area of Icosidodecahedron given Pentagonal Face Diagonal using the formula - Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Pentagonal Face Diagonal of Icosidodecahedron)/(1+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 Diagonal be negative?

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

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

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

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