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Total Surface Area of Tetrahedron given Insphere Radius Formula

GoTotal Surface Area of Tetrahedron Formula

GoTotal Surface Area of Tetrahedron given Volume Formula

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Total Surface Area of Tetrahedron is the total quantity of plane enclosed by the entire surface of the Tetrahedron. Check FAQs

TSA = \sqrt{3} \cdot {(2 \cdot \sqrt{6} \cdot r i)}^{2}

TSA - Total Surface Area of Tetrahedron?r_i - Insphere Radius of Tetrahedron?

Total Surface Area of Tetrahedron given Insphere Radius Example

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

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

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

166.2769 = \sqrt{3} \cdot {(2 \cdot \sqrt{6} \cdot 2)}^{2}

166.2769m² = \sqrt{3} \cdot {(2 \cdot \sqrt{6} \cdot 2m)}^{2}

166.2769 = \sqrt{3} \cdot {(2 \cdot \sqrt{6} \cdot 2)}^{2}

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Total Surface Area of Tetrahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

TSA = \sqrt{3} \cdot {(2 \cdot \sqrt{6} \cdot r i)}^{2}

Next Step Substitute values of Variables

∴

TSA = \sqrt{3} \cdot {(2 \cdot \sqrt{6} \cdot 2m)}^{2}

Next Step Prepare to Evaluate

∴

TSA = \sqrt{3} \cdot {(2 \cdot \sqrt{6} \cdot 2)}^{2}

Next Step Evaluate

∴

TSA = 166.276877526612m²

LAST Step Rounding Answer

∴

TSA = 166.2769m²

Total Surface Area of Tetrahedron given Insphere Radius Formula Elements

Variables

Functions

Total Surface Area of Tetrahedron

Total Surface Area of Tetrahedron is the total quantity of plane enclosed by the entire surface of the Tetrahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Tetrahedron

Insphere Radius of Tetrahedron

Insphere Radius of Tetrahedron is the radius of the sphere that is contained by the Tetrahedron 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 Tetrahedron

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 Tetrahedron

Go Total Surface Area of Tetrahedron

TSA = \sqrt{3} \cdot {l e}^{2}

Go Total Surface Area of Tetrahedron given Volume

TSA = \sqrt{3} \cdot {(\frac{12 \cdot V}{\sqrt{2}})}^{\frac{2}{3}}

Go Total Surface Area of Tetrahedron given Height

TSA = \sqrt{3} \cdot {(\sqrt{\frac{3}{2}} \cdot h)}^{2}

Go Total Surface Area of Tetrahedron given Circumsphere Radius

TSA = \sqrt{3} \cdot {(\frac{2 \cdot \sqrt{2} \cdot r c}{\sqrt{3}})}^{2}

How to Evaluate Total Surface Area of Tetrahedron given Insphere Radius?

Total Surface Area of Tetrahedron given Insphere Radius evaluator uses Total Surface Area of Tetrahedron = sqrt(3)*(2*sqrt(6)*Insphere Radius of Tetrahedron)^2 to evaluate the Total Surface Area of Tetrahedron, The Total Surface Area of Tetrahedron given Insphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrahedron, and calculated using the insphere radius of the Tetrahedron. Total Surface Area of Tetrahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Tetrahedron given Insphere Radius

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

The formula of Total Surface Area of Tetrahedron given Insphere Radius is expressed as Total Surface Area of Tetrahedron = sqrt(3)*(2*sqrt(6)*Insphere Radius of Tetrahedron)^2. Here is an example- 166.2769 = sqrt(3)*(2*sqrt(6)*2)^2.

How to calculate Total Surface Area of Tetrahedron given Insphere Radius?

With Insphere Radius of Tetrahedron (r_i) we can find Total Surface Area of Tetrahedron given Insphere Radius using the formula - Total Surface Area of Tetrahedron = sqrt(3)*(2*sqrt(6)*Insphere Radius of Tetrahedron)^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Tetrahedron=sqrt(3)*Edge Length of Tetrahedron^2
Total Surface Area of Tetrahedron=sqrt(3)*((12*Volume of Tetrahedron)/sqrt(2))^(2/3)
Total Surface Area of Tetrahedron=sqrt(3)*(sqrt(3/2)*Height of Tetrahedron)^2

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

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

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

Total Surface Area of Tetrahedron 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 Tetrahedron given Insphere Radius can be measured.

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