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Total Surface Area of Icosahedron given Space Diagonal Formula

GoTotal Surface Area of Icosahedron given Circumsphere Radius Formula

GoTotal Surface Area of Icosahedron given Volume Formula

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Total Surface Area of Icosahedron is the total quantity of plane enclosed by the entire surface of the Icosahedron. Check FAQs

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{2 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

TSA - Total Surface Area of Icosahedron?d_Space - Space Diagonal of Icosahedron?

Total Surface Area of Icosahedron given Space Diagonal Example

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Here is how the Total Surface Area of Icosahedron given Space Diagonal equation looks like with Values.

Here is how the Total Surface Area of Icosahedron given Space Diagonal equation looks like with Units.

Here is how the Total Surface Area of Icosahedron given Space Diagonal equation looks like.

864.1024 = 5 \cdot \sqrt{3} \cdot {(\frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

864.1024m² = 5 \cdot \sqrt{3} \cdot {(\frac{2 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

864.1024 = 5 \cdot \sqrt{3} \cdot {(\frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

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Total Surface Area of Icosahedron given Space Diagonal Solution

Follow our step by step solution on how to calculate Total Surface Area of Icosahedron given Space Diagonal?

FIRST Step Consider the formula

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{2 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

Next Step Substitute values of Variables

∴

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{2 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

Next Step Evaluate

∴

TSA = 864.102359840473m²

LAST Step Rounding Answer

∴

TSA = 864.1024m²

Total Surface Area of Icosahedron given Space Diagonal Formula Elements

Variables

Functions

Total Surface Area of Icosahedron

Total Surface Area of Icosahedron is the total quantity of plane enclosed by the entire surface of the Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Icosahedron

Space Diagonal of Icosahedron

The Space Diagonal of Icosahedron is the line connecting two vertices that are not on the same face of Icosahedron.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Icosahedron

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 Icosahedron

Go Total Surface Area of Icosahedron given Circumsphere Radius

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

Go Total Surface Area of Icosahedron given Volume

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{2}{3}}

Go Total Surface Area of Icosahedron

TSA = 5 \cdot \sqrt{3} \cdot {l e}^{2}

Go Total Surface Area of Icosahedron given Midsphere Radius

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{4 \cdot r m}{1 + \sqrt{5}})}^{2}

How to Evaluate Total Surface Area of Icosahedron given Space Diagonal?

Total Surface Area of Icosahedron given Space Diagonal evaluator uses Total Surface Area of Icosahedron = 5*sqrt(3)*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2 to evaluate the Total Surface Area of Icosahedron, The Total Surface Area of Icosahedron given Space Diagonal formula is defined as the total quantity of plane enclosed by the entire surface of the Icosahedron and calculated using the space diagonal of the Icosahedron. Total Surface Area of Icosahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Icosahedron given Space Diagonal using this online evaluator? To use this online evaluator for Total Surface Area of Icosahedron given Space Diagonal, enter Space Diagonal of Icosahedron (d_Space) and hit the calculate button.

FAQs on Total Surface Area of Icosahedron given Space Diagonal

What is the formula to find Total Surface Area of Icosahedron given Space Diagonal?

The formula of Total Surface Area of Icosahedron given Space Diagonal is expressed as Total Surface Area of Icosahedron = 5*sqrt(3)*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2. Here is an example- 864.1024 = 5*sqrt(3)*((2*19)/(sqrt(10+(2*sqrt(5)))))^2.

How to calculate Total Surface Area of Icosahedron given Space Diagonal?

With Space Diagonal of Icosahedron (d_Space) we can find Total Surface Area of Icosahedron given Space Diagonal using the formula - Total Surface Area of Icosahedron = 5*sqrt(3)*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2. This formula also uses Square Root Function function(s).

What are the other ways to Calculate Total Surface Area of Icosahedron?

Here are the different ways to Calculate Total Surface Area of Icosahedron-

Total Surface Area of Icosahedron=5*sqrt(3)*((4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2
Total Surface Area of Icosahedron=5*sqrt(3)*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(2/3)
Total Surface Area of Icosahedron=5*sqrt(3)*Edge Length of Icosahedron^2

Can the Total Surface Area of Icosahedron given Space Diagonal be negative?

No, the Total Surface Area of Icosahedron given Space Diagonal, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Icosahedron given Space Diagonal?

Total Surface Area of Icosahedron given Space 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 Icosahedron given Space Diagonal can be measured.

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