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Total Surface Area of Deltoidal Icositetrahedron given Midsphere 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{2 \cdot r m}{1 + \sqrt{2}})}^{2}

TSA - Total Surface Area of Deltoidal Icositetrahedron?r_m - Midsphere Radius of Deltoidal Icositetrahedron?

Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius Example

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

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

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

7258.919 = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{2 \cdot 24}{1 + \sqrt{2}})}^{2}

7258.919m² = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{2 \cdot 24m}{1 + \sqrt{2}})}^{2}

7258.919 = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{2 \cdot 24}{1 + \sqrt{2}})}^{2}

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Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

TSA = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{2 \cdot r m}{1 + \sqrt{2}})}^{2}

Next Step Substitute values of Variables

∴

TSA = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{2 \cdot 24m}{1 + \sqrt{2}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = \frac{12}{7} \cdot \sqrt{61 + (38 \cdot \sqrt{2})} \cdot {(\frac{2 \cdot 24}{1 + \sqrt{2}})}^{2}

Next Step Evaluate

∴

TSA = 7258.91901583392m²

LAST Step Rounding Answer

∴

TSA = 7258.919m²

Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius Formula Elements

Variables

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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

Midsphere Radius of Deltoidal Icositetrahedron

Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron 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 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 Midsphere Radius?

Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius evaluator uses Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^2 to evaluate the Total Surface Area of Deltoidal Icositetrahedron, Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the amount or quantity of two dimensional space covered by the surface of Deltoidal Icositetrahedron, calculated using midsphere 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 Midsphere Radius using this online evaluator? To use this online evaluator for Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Deltoidal Icositetrahedron (r_m) and hit the calculate button.

FAQs on Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius

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

The formula of Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius is expressed as Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^2. Here is an example- 7258.919 = 12/7*sqrt(61+(38*sqrt(2)))*((2*24)/(1+sqrt(2)))^2.

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

With Midsphere Radius of Deltoidal Icositetrahedron (r_m) we can find Total Surface Area of Deltoidal Icositetrahedron given Midsphere Radius using the formula - Total Surface Area of Deltoidal Icositetrahedron = 12/7*sqrt(61+(38*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^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 Midsphere Radius be negative?

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

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

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

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