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Total Surface Area of Tetrahedron Formula

GoTotal Surface Area of Tetrahedron given Circumsphere Radius Formula

GoTotal Surface Area of Tetrahedron given Height 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 {l e}^{2}

TSA - Total Surface Area of Tetrahedron?l_e - Edge Length of Tetrahedron?

Total Surface Area of Tetrahedron Example

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

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

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

173.2051 = \sqrt{3} \cdot 10^{2}

173.2051m² = \sqrt{3} \cdot {10m}^{2}

173.2051 = \sqrt{3} \cdot 10^{2}

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Total Surface Area of Tetrahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = \sqrt{3} \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

TSA = \sqrt{3} \cdot 10^{2}

Next Step Evaluate

∴

TSA = 173.205080756888m²

LAST Step Rounding Answer

∴

TSA = 173.2051m²

Total Surface Area of Tetrahedron 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

Edge Length of Tetrahedron

Edge Length of Tetrahedron is the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 given Circumsphere Radius

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

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 Volume

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

Other formulas in Total Surface Area of Tetrahedron category

Go Face Area of Tetrahedron

A Face = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

Go Face Area of Tetrahedron given Insphere Radius

A Face = 6 \cdot \sqrt{3} \cdot {r i}^{2}

How to Evaluate Total Surface Area of Tetrahedron?

Total Surface Area of Tetrahedron evaluator uses Total Surface Area of Tetrahedron = sqrt(3)*Edge Length of Tetrahedron^2 to evaluate the Total Surface Area of Tetrahedron, Total Surface Area of Tetrahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Tetrahedron. Total Surface Area of Tetrahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Tetrahedron using this online evaluator? To use this online evaluator for Total Surface Area of Tetrahedron, enter Edge Length of Tetrahedron (l_e) and hit the calculate button.

FAQs on Total Surface Area of Tetrahedron

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

The formula of Total Surface Area of Tetrahedron is expressed as Total Surface Area of Tetrahedron = sqrt(3)*Edge Length of Tetrahedron^2. Here is an example- 173.2051 = sqrt(3)*10^2.

How to calculate Total Surface Area of Tetrahedron?

With Edge Length of Tetrahedron (l_e) we can find Total Surface Area of Tetrahedron using the formula - Total Surface Area of Tetrahedron = sqrt(3)*Edge Length of Tetrahedron^2. This formula also uses Square Root Function 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)*((2*sqrt(2)*Circumsphere Radius of Tetrahedron)/sqrt(3))^2
Total Surface Area of Tetrahedron=sqrt(3)*(sqrt(3/2)*Height of Tetrahedron)^2
Total Surface Area of Tetrahedron=sqrt(3)*((12*Volume of Tetrahedron)/sqrt(2))^(2/3)

Can the Total Surface Area of Tetrahedron be negative?

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

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

Total Surface Area of Tetrahedron 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 can be measured.

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