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Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius Formula

GoTotal Surface Area of Deltoidal Icositetrahedron Formula

GoTotal Surface Area of Deltoidal Icositetrahedron given Short Edge Formula

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

TSA = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{r i}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}})}^{2}

TSA - Total Surface Area of Deltoidal Icositetrahedron?r_i - Insphere Radius of Deltoidal Icositetrahedron?

Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius Example

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

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

Here is how the Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius equation looks like.

6992.7607 = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}})}^{2}

6992.7607m² = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{22m}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}})}^{2}

6992.7607 = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}})}^{2}

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Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

TSA = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{r i}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}})}^{2}

Next Step Substitute values of Variables

∴

TSA = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{22m}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}})}^{2}

Next Step Evaluate

∴

TSA = 6992.76065508998m²

LAST Step Rounding Answer

∴

TSA = 6992.7607m²

Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius Formula Elements

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Functions

Total Surface Area of Deltoidal Icositetrahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Deltoidal Icositetrahedron

Insphere Radius of Deltoidal Icositetrahedron

Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron 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 Deltoidal Icositetrahedron

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 Deltoidal Icositetrahedron

Go Total Surface Area of Deltoidal Icositetrahedron

TSA = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {l e(Long)}^{2}

Go Total Surface Area of Deltoidal Icositetrahedron given Short Edge

TSA = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{7 \cdot l e(Short)}{4 + \sqrt{2}})}^{2}

Go Total Surface Area of Deltoidal Icositetrahedron given Symmetry Diagonal

TSA = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{7 \cdot d Symmetry}{\sqrt{46 + (15 \cdot \sqrt{2})}})}^{2}

Go Total Surface Area of Deltoidal Icositetrahedron given NonSymmetry Diagonal

TSA = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{2 \cdot d Non Symmetry}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{2}

How to Evaluate Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius?

Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius evaluator uses Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*(Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)))^2 to evaluate the Total Surface Area of Deltoidal Icositetrahedron, Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron, calculated using insphere radius of Deltoidal Icositetrahedron. Total Surface Area of Deltoidal Icositetrahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius

What is the formula to find Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius?

The formula of Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius is expressed as Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*(Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)))^2. Here is an example- 6992.761 = 12/7*sqrt(61+(38*sqrt(2)))*(22/(sqrt((22+(15*sqrt(2)))/34)))^2.

How to calculate Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius?

With Insphere Radius of Deltoidal Icositetrahedron (r_i) we can find Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius using the formula - Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*(Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)))^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Deltoidal Icositetrahedron?

Here are the different ways to Calculate Total Surface Area of Deltoidal Icositetrahedron-

Total Surface Area of Deltoidal Icositetrahedron=12/7*sqrt(61+(38*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^2
Total Surface Area of Deltoidal Icositetrahedron=12/7*sqrt(61+(38*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^2
Total Surface Area of Deltoidal Icositetrahedron=12/7*sqrt(61+(38*sqrt(2)))*((7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))))^2

Can the Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius be negative?

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

Which unit is used to measure Total Surface Area of Deltoidal Icositetrahedron given Insphere Radius?

Total Surface Area of Deltoidal Icositetrahedron 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 Deltoidal Icositetrahedron given Insphere Radius can be measured.

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