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Total Surface Area of Hexakis Octahedron given Insphere Radius Formula

GoTotal Surface Area of Hexakis Octahedron Formula

GoTotal Surface Area of Hexakis Octahedron given Medium Edge Formula

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Total Surface Area of Hexakis Octahedron is the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron. Check FAQs

TSA = (\frac{12}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(r i)}^{2}) \cdot (\frac{1}{\frac{402 + (195 \cdot \sqrt{2})}{194}})

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

Total Surface Area of Hexakis Octahedron given Insphere Radius Example

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

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

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

4473.8576 = (\frac{12}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(18)}^{2}) \cdot (\frac{1}{\frac{402 + (195 \cdot \sqrt{2})}{194}})

4473.8576m² = (\frac{12}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(18m)}^{2}) \cdot (\frac{1}{\frac{402 + (195 \cdot \sqrt{2})}{194}})

4473.8576 = (\frac{12}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(18)}^{2}) \cdot (\frac{1}{\frac{402 + (195 \cdot \sqrt{2})}{194}})

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Total Surface Area of Hexakis Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

TSA = (\frac{12}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(r i)}^{2}) \cdot (\frac{1}{\frac{402 + (195 \cdot \sqrt{2})}{194}})

Next Step Substitute values of Variables

∴

TSA = (\frac{12}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(18m)}^{2}) \cdot (\frac{1}{\frac{402 + (195 \cdot \sqrt{2})}{194}})

Next Step Prepare to Evaluate

∴

TSA = (\frac{12}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(18)}^{2}) \cdot (\frac{1}{\frac{402 + (195 \cdot \sqrt{2})}{194}})

Next Step Evaluate

∴

TSA = 4473.85760480428m²

LAST Step Rounding Answer

∴

TSA = 4473.8576m²

Total Surface Area of Hexakis Octahedron given Insphere Radius Formula Elements

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Total Surface Area of Hexakis Octahedron

Total Surface Area of Hexakis Octahedron is the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Hexakis Octahedron

Insphere Radius of Hexakis Octahedron

Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron 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 Octahedron

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 Octahedron

Go Total Surface Area of Hexakis Octahedron

TSA = ({(l e(Long))}^{2}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot (\frac{3}{7})

Go Total Surface Area of Hexakis Octahedron given Medium Edge

TSA = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{14 \cdot l e(Medium)}{3 \cdot (1 + (2 \cdot \sqrt{2}))})}^{2})

Go Total Surface Area of Hexakis Octahedron given Short Edge

TSA = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{14 \cdot l e(Short)}{10 - \sqrt{2}})}^{2})

Go Total Surface Area of Hexakis Octahedron given Volume

TSA = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{2}{3}})

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

Total Surface Area of Hexakis Octahedron given Insphere Radius evaluator uses Total Surface Area of Hexakis Octahedron = (12/7)*(sqrt(543+(176*sqrt(2))))*((Insphere Radius of Hexakis Octahedron)^2)*(1/((402+(195*sqrt(2)))/194)) to evaluate the Total Surface Area of Hexakis Octahedron, The Total Surface Area of Hexakis Octahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using insphere radius of Hexakis Octahedron. Total Surface Area of Hexakis Octahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Hexakis Octahedron given Insphere Radius

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

The formula of Total Surface Area of Hexakis Octahedron given Insphere Radius is expressed as Total Surface Area of Hexakis Octahedron = (12/7)*(sqrt(543+(176*sqrt(2))))*((Insphere Radius of Hexakis Octahedron)^2)*(1/((402+(195*sqrt(2)))/194)). Here is an example- 4473.858 = (12/7)*(sqrt(543+(176*sqrt(2))))*((18)^2)*(1/((402+(195*sqrt(2)))/194)).

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

With Insphere Radius of Hexakis Octahedron (r_i) we can find Total Surface Area of Hexakis Octahedron given Insphere Radius using the formula - Total Surface Area of Hexakis Octahedron = (12/7)*(sqrt(543+(176*sqrt(2))))*((Insphere Radius of Hexakis Octahedron)^2)*(1/((402+(195*sqrt(2)))/194)). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Hexakis Octahedron=((Long Edge of Hexakis Octahedron)^2)*(sqrt(543+(176*sqrt(2))))*(3/7)
Total Surface Area of Hexakis Octahedron=(3/7)*(sqrt(543+(176*sqrt(2))))*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^2)
Total Surface Area of Hexakis Octahedron=(3/7)*(sqrt(543+(176*sqrt(2))))*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^2)

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

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

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

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

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