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Total Surface Area of Hexakis Icosahedron given Midsphere 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{8 \cdot r m}{5 + (3 \cdot \sqrt{5})})}^{2})

TSA - Total Surface Area of Hexakis Icosahedron?r_m - Midsphere Radius of Hexakis Icosahedron?

Total Surface Area of Hexakis Icosahedron given Midsphere Radius Example

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

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

2901.0702 = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{8 \cdot 15}{5 + (3 \cdot \sqrt{5})})}^{2})

2901.0702m² = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{8 \cdot 15m}{5 + (3 \cdot \sqrt{5})})}^{2})

2901.0702 = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{8 \cdot 15}{5 + (3 \cdot \sqrt{5})})}^{2})

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Total Surface Area of Hexakis Icosahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{8 \cdot r m}{5 + (3 \cdot \sqrt{5})})}^{2})

Next Step Substitute values of Variables

∴

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{8 \cdot 15m}{5 + (3 \cdot \sqrt{5})})}^{2})

Next Step Prepare to Evaluate

∴

TSA = (\frac{15}{44}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))}) \cdot ({(\frac{8 \cdot 15}{5 + (3 \cdot \sqrt{5})})}^{2})

Next Step Evaluate

∴

TSA = 2901.07024516698m²

LAST Step Rounding Answer

∴

TSA = 2901.0702m²

Total Surface Area of Hexakis Icosahedron given Midsphere Radius 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

Midsphere Radius of Hexakis Icosahedron

Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Midsphere Radius?

Total Surface Area of Hexakis Icosahedron given Midsphere Radius evaluator uses Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))))^2) to evaluate the Total Surface Area of Hexakis Icosahedron, Total Surface Area of Hexakis Icosahedron given Midsphere Radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron, calculated using midsphere 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 Midsphere Radius using this online evaluator? To use this online evaluator for Total Surface Area of Hexakis Icosahedron given Midsphere Radius, enter Midsphere Radius of Hexakis Icosahedron (r_m) and hit the calculate button.

FAQs on Total Surface Area of Hexakis Icosahedron given Midsphere Radius

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

The formula of Total Surface Area of Hexakis Icosahedron given Midsphere Radius is expressed as Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))))^2). Here is an example- 2901.07 = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((8*15)/(5+(3*sqrt(5))))^2).

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

With Midsphere Radius of Hexakis Icosahedron (r_m) we can find Total Surface Area of Hexakis Icosahedron given Midsphere Radius using the formula - Total Surface Area of Hexakis Icosahedron = (15/44)*(sqrt(10*(417+(107*sqrt(5)))))*(((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*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)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^2)

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

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

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

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

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