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Total Surface Area of Hexakis Icosahedron given Insphere Radius Formula

GoTotal Surface Area of Hexakis Icosahedron Formula

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{{(4 \cdot r i)}^{2}}{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))})

TSA - Total Surface Area of Hexakis Icosahedron?r_i - Insphere Radius of Hexakis Icosahedron?

Total Surface Area of Hexakis Icosahedron given Insphere Radius Example

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

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

Here is how the Total Surface Area of Hexakis Icosahedron given Insphere Radius equation looks like.

2571.621 = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot (\frac{{(4 \cdot 14)}^{2}}{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))})

2571.621m² = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot (\frac{{(4 \cdot 14m)}^{2}}{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))})

2571.621 = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot (\frac{{(4 \cdot 14)}^{2}}{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))})

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Total Surface Area of Hexakis Icosahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot (\frac{{(4 \cdot r i)}^{2}}{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))})

Next Step Substitute values of Variables

∴

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot (\frac{{(4 \cdot 14m)}^{2}}{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))})

Next Step Prepare to Evaluate

∴

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot (\frac{{(4 \cdot 14)}^{2}}{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))})

Next Step Evaluate

∴

TSA = 2571.62099167006m²

LAST Step Rounding Answer

∴

TSA = 2571.621m²

Total Surface Area of Hexakis Icosahedron given Insphere Radius Formula Elements

Variables

Functions

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

Insphere Radius of Hexakis Icosahedron

Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius 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 Short Edge

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})

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}))

How to Evaluate Total Surface Area of Hexakis Icosahedron given Insphere Radius?

Total Surface Area of Hexakis Icosahedron given Insphere Radius evaluator uses Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)^2)/((15/241)*(275+(119*sqrt(5))))) to evaluate the Total Surface Area of Hexakis Icosahedron, Total Surface Area of Hexakis Icosahedron given Insphere radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron, calculated using insphere radius of Hexakis Icosahedron. Total Surface Area of Hexakis Icosahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Hexakis Icosahedron given Insphere Radius

What is the formula to find Total Surface Area of Hexakis Icosahedron given Insphere Radius?

The formula of Total Surface Area of Hexakis Icosahedron given Insphere Radius is expressed as Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)^2)/((15/241)*(275+(119*sqrt(5))))). Here is an example- 2571.621 = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*14)^2)/((15/241)*(275+(119*sqrt(5))))).

How to calculate Total Surface Area of Hexakis Icosahedron given Insphere Radius?

With Insphere Radius of Hexakis Icosahedron (r_i) we can find Total Surface Area of Hexakis Icosahedron given Insphere Radius using the formula - Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)^2)/((15/241)*(275+(119*sqrt(5))))). 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)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^2)

Can the Total Surface Area of Hexakis Icosahedron given Insphere Radius be negative?

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

Which unit is used to measure Total Surface Area of Hexakis Icosahedron given Insphere Radius?

Total Surface Area of Hexakis Icosahedron given Insphere Radius 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 Insphere Radius can be measured.

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