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Total Surface Area of Icosidodecahedron given Pentagonal Face Area 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{4 \cdot A Pentagon}{\sqrt{25 + (10 \cdot \sqrt{5})}}

TSA - Total Surface Area of Icosidodecahedron?A_Pentagon - Pentagonal Face Area of Icosidodecahedron?

Total Surface Area of Icosidodecahedron given Pentagonal Face Area Example

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

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

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

2895.7178 = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot \frac{4 \cdot 170}{\sqrt{25 + (10 \cdot \sqrt{5})}}

2895.7178m² = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot \frac{4 \cdot 170m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}

2895.7178 = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot \frac{4 \cdot 170}{\sqrt{25 + (10 \cdot \sqrt{5})}}

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Total Surface Area of Icosidodecahedron given Pentagonal Face Area Solution

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

FIRST Step Consider the formula

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot \frac{4 \cdot A Pentagon}{\sqrt{25 + (10 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot \frac{4 \cdot 170m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot \frac{4 \cdot 170}{\sqrt{25 + (10 \cdot \sqrt{5})}}

Next Step Evaluate

∴

TSA = 2895.71782920808m²

LAST Step Rounding Answer

∴

TSA = 2895.7178m²

Total Surface Area of Icosidodecahedron given Pentagonal Face Area 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 Area of Icosidodecahedron

Pentagonal Face Area of Icosidodecahedron is the total quantity of two dimensional space enclosed on any of the pentagonal faces of the Icosidodecahedron.

Symbol: A_Pentagon

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Pentagonal Face Area 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 Area?

Total Surface Area of Icosidodecahedron given Pentagonal Face Area evaluator uses Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*(4*Pentagonal Face Area of Icosidodecahedron)/sqrt(25+(10*sqrt(5))) to evaluate the Total Surface Area of Icosidodecahedron, Total Surface Area of Icosidodecahedron given Pentagonal Face Area formula is defined as the total quantity of plane enclosed on the entire surface of the Icosidodecahedron, and calculated using the pentagonal face area of the Icosidodecahedron. Total Surface Area of Icosidodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Icosidodecahedron given Pentagonal Face Area

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

The formula of Total Surface Area of Icosidodecahedron given Pentagonal Face Area is expressed as Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*(4*Pentagonal Face Area of Icosidodecahedron)/sqrt(25+(10*sqrt(5))). Here is an example- 2895.718 = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*(4*170)/sqrt(25+(10*sqrt(5))).

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

With Pentagonal Face Area of Icosidodecahedron (A_Pentagon) we can find Total Surface Area of Icosidodecahedron given Pentagonal Face Area using the formula - Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*(4*Pentagonal Face Area of Icosidodecahedron)/sqrt(25+(10*sqrt(5))). 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 Area be negative?

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

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

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

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