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Total Surface Area of Icosidodecahedron given Triangular Face Perimeter Formula

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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{{P Triangle}^{2}}{9}

TSA - Total Surface Area of Icosidodecahedron?P_Triangle - Triangular Face Perimeter of Icosidodecahedron?

Total Surface Area of Icosidodecahedron given Triangular Face Perimeter Example

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

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

2930.5983 = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot \frac{30^{2}}{9}

2930.5983m² = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot \frac{{30m}^{2}}{9}

2930.5983 = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot \frac{30^{2}}{9}

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Total Surface Area of Icosidodecahedron given Triangular Face Perimeter Solution

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

FIRST Step Consider the formula

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot \frac{{P Triangle}^{2}}{9}

Next Step Substitute values of Variables

∴

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot \frac{{30m}^{2}}{9}

Next Step Prepare to Evaluate

∴

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot \frac{30^{2}}{9}

Next Step Evaluate

∴

TSA = 2930.5982844912m²

LAST Step Rounding Answer

∴

TSA = 2930.5983m²

Total Surface Area of Icosidodecahedron given Triangular Face Perimeter 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

Triangular Face Perimeter of Icosidodecahedron

Triangular Face Perimeter of Icosidodecahedron is the total length of all the boundary lines of any of the triangular faces of the Icosidodecahedron.

Symbol: P_Triangle

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Triangular Face Perimeter 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 Triangular Face Perimeter?

Total Surface Area of Icosidodecahedron given Triangular Face Perimeter evaluator uses Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Triangular Face Perimeter of Icosidodecahedron^2/9 to evaluate the Total Surface Area of Icosidodecahedron, Total Surface Area of Icosidodecahedron given Triangular Face Perimeter formula is defined as the total quantity of plane enclosed on the entire surface of the Icosidodecahedron, and calculated using the triangular face perimeter of the Icosidodecahedron. Total Surface Area of Icosidodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Icosidodecahedron given Triangular Face Perimeter

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

The formula of Total Surface Area of Icosidodecahedron given Triangular Face Perimeter is expressed as Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Triangular Face Perimeter of Icosidodecahedron^2/9. Here is an example- 2930.598 = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*30^2/9.

How to calculate Total Surface Area of Icosidodecahedron given Triangular Face Perimeter?

With Triangular Face Perimeter of Icosidodecahedron (P_Triangle) we can find Total Surface Area of Icosidodecahedron given Triangular Face Perimeter using the formula - Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Triangular Face Perimeter of Icosidodecahedron^2/9. This formula also uses Square Root Function 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 Triangular Face Perimeter be negative?

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

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

Total Surface Area of Icosidodecahedron given Triangular Face Perimeter 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 Triangular Face Perimeter can be measured.

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