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Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length Formula

GoTotal Surface Area of Truncated Icosahedron Formula

GoTotal Surface Area of Truncated Icosahedron given Volume Formula

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

TSA = \frac{{l e(Icosahedron)}^{2}}{3} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

TSA - Total Surface Area of Truncated Icosahedron?l_{e(Icosahedron)} - Icosahedral Edge Length of Truncated Icosahedron?

Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length Example

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Here is how the Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length equation looks like with Values.

Here is how the Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length equation looks like with Units.

Here is how the Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length equation looks like.

7260.7253 = \frac{30^{2}}{3} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

7260.7253m² = \frac{{30m}^{2}}{3} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

7260.7253 = \frac{30^{2}}{3} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

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Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length Solution

Follow our step by step solution on how to calculate Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length?

FIRST Step Consider the formula

TSA = \frac{{l e(Icosahedron)}^{2}}{3} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

TSA = 7260.72530341339m²

LAST Step Rounding Answer

∴

TSA = 7260.7253m²

Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length Formula Elements

Variables

Functions

Total Surface Area of Truncated Icosahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Truncated Icosahedron

Icosahedral Edge Length of Truncated Icosahedron

Icosahedral Edge Length of Truncated Icosahedron is the length of any edge of the larger Icosahedron from which the corners are cut to form the Truncated Icosahedron.

Symbol: l_{e(Icosahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Icosahedral Edge Length of Truncated 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 Truncated Icosahedron

Go Total Surface Area of Truncated Icosahedron

TSA = 3 \cdot {l e}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Go Total Surface Area of Truncated Icosahedron given Volume

TSA = 3 \cdot {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{2}{3}} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Go Total Surface Area of Truncated Icosahedron given Circumsphere Radius

TSA = 3 \cdot {(\frac{4 \cdot r c}{\sqrt{58 + (18 \cdot \sqrt{5})}})}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Go Total Surface Area of Truncated Icosahedron given Midsphere Radius

TSA = 3 \cdot {(\frac{4 \cdot r m}{3 \cdot (1 + \sqrt{5})})}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

How to Evaluate Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length?

Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length evaluator uses Total Surface Area of Truncated Icosahedron = (Icosahedral Edge Length of Truncated Icosahedron^2)/3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))) to evaluate the Total Surface Area of Truncated Icosahedron, Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Icosahedron, and calculated using the icosahedral edge length of the Truncated Icosahedron. Total Surface Area of Truncated Icosahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length using this online evaluator? To use this online evaluator for Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length, enter Icosahedral Edge Length of Truncated Icosahedron (l_{e(Icosahedron)}) and hit the calculate button.

FAQs on Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length

What is the formula to find Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length?

The formula of Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length is expressed as Total Surface Area of Truncated Icosahedron = (Icosahedral Edge Length of Truncated Icosahedron^2)/3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))). Here is an example- 7260.725 = (30^2)/3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))).

How to calculate Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length?

With Icosahedral Edge Length of Truncated Icosahedron (l_{e(Icosahedron)}) we can find Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length using the formula - Total Surface Area of Truncated Icosahedron = (Icosahedral Edge Length of Truncated Icosahedron^2)/3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))). This formula also uses Square Root Function function(s).

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

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

Total Surface Area of Truncated Icosahedron=3*Edge Length of Truncated Icosahedron^2*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))
Total Surface Area of Truncated Icosahedron=3*((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(2/3)*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))
Total Surface Area of Truncated Icosahedron=3*((4*Circumsphere Radius of Truncated Icosahedron)/(sqrt(58+(18*sqrt(5)))))^2*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))

Can the Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length be negative?

No, the Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length?

Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length 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 Truncated Icosahedron given Icosahedral Edge Length can be measured.

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