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Total Surface Area of Hexakis Icosahedron given Short Edge Formula

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GoTotal Surface Area of Hexakis Icosahedron given Medium Edge Formula

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Total Surface Area of Hexakis Icosahedron is the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron. Check FAQs

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})})}^{2})

TSA - Total Surface Area of Hexakis Icosahedron?l_e(Short) - Short Edge of Hexakis Icosahedron?

Total Surface Area of Hexakis Icosahedron given Short Edge Example

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Here is how the Total Surface Area of Hexakis Icosahedron given Short Edge equation looks like with Values.

Here is how the Total Surface Area of Hexakis Icosahedron given Short Edge equation looks like with Units.

Here is how the Total Surface Area of Hexakis Icosahedron given Short Edge equation looks like.

2355.8658 = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 5}{5 \cdot (7 - \sqrt{5})})}^{2})

2355.8658m² = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 5m}{5 \cdot (7 - \sqrt{5})})}^{2})

2355.8658 = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 5}{5 \cdot (7 - \sqrt{5})})}^{2})

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Total Surface Area of Hexakis Icosahedron given Short Edge Solution

Follow our step by step solution on how to calculate Total Surface Area of Hexakis Icosahedron given Short Edge?

FIRST Step Consider the formula

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})})}^{2})

Next Step Substitute values of Variables

∴

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 5m}{5 \cdot (7 - \sqrt{5})})}^{2})

Next Step Prepare to Evaluate

∴

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 5}{5 \cdot (7 - \sqrt{5})})}^{2})

Next Step Evaluate

∴

TSA = 2355.86581655484m²

LAST Step Rounding Answer

∴

TSA = 2355.8658m²

Total Surface Area of Hexakis Icosahedron given Short Edge Formula Elements

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Total Surface Area of Hexakis Icosahedron

Total Surface Area of Hexakis Icosahedron is the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Hexakis Icosahedron

Short Edge of Hexakis Icosahedron

Short Edge of Hexakis Icosahedron is the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Hexakis 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 Hexakis Icosahedron

Go Total Surface Area of Hexakis Icosahedron

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({l e(Long)}^{2})

Go Total Surface Area of Hexakis Icosahedron given Medium Edge

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})}^{2})

Go Total Surface Area of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot (\frac{4}{25}) \cdot ({l e(Truncated Icosidodecahedron)}^{2}) \cdot (15 \cdot (5 - \sqrt{5}))

Go Total Surface Area of Hexakis Icosahedron given Volume

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{88 \cdot V}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{2}{3}})

How to Evaluate Total Surface Area of Hexakis Icosahedron given Short Edge?

Total Surface Area of Hexakis Icosahedron given Short Edge evaluator uses Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^2) to evaluate the Total Surface Area of Hexakis Icosahedron, Total Surface Area of Hexakis Icosahedron given Short Edge formula is defined as the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron, and calculated using short edge of Hexakis Icosahedron. Total Surface Area of Hexakis Icosahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Hexakis Icosahedron given Short Edge using this online evaluator? To use this online evaluator for Total Surface Area of Hexakis Icosahedron given Short Edge, enter Short Edge of Hexakis Icosahedron (l_e(Short)) and hit the calculate button.

FAQs on Total Surface Area of Hexakis Icosahedron given Short Edge

What is the formula to find Total Surface Area of Hexakis Icosahedron given Short Edge?

The formula of Total Surface Area of Hexakis Icosahedron given Short Edge is expressed as Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^2). Here is an example- 2355.866 = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((44*5)/(5*(7-sqrt(5))))^2).

How to calculate Total Surface Area of Hexakis Icosahedron given Short Edge?

With Short Edge of Hexakis Icosahedron (l_e(Short)) we can find Total Surface Area of Hexakis Icosahedron given Short Edge using the formula - Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^2). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Hexakis Icosahedron=(15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(Long Edge of Hexakis Icosahedron^2)
Total Surface Area of Hexakis Icosahedron=(15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))^2)
Total Surface Area of Hexakis Icosahedron=(15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(4/25)*(Truncated Edge of Hexakis Icosahedron^2)*(15*(5-sqrt(5)))

Can the Total Surface Area of Hexakis Icosahedron given Short Edge be negative?

No, the Total Surface Area of Hexakis Icosahedron given Short Edge, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Hexakis Icosahedron given Short Edge?

Total Surface Area of Hexakis Icosahedron given Short Edge 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 Hexakis Icosahedron given Short Edge can be measured.

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