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Total Surface Area of Tetrahedron given Volume Formula

GoTotal Surface Area of Tetrahedron Formula

GoTotal Surface Area of Tetrahedron given Circumsphere Radius 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 {(\frac{12 \cdot V}{\sqrt{2}})}^{\frac{2}{3}}

TSA - Total Surface Area of Tetrahedron?V - Volume of Tetrahedron?

Total Surface Area of Tetrahedron given Volume Example

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

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

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

175.3042 = \sqrt{3} \cdot {(\frac{12 \cdot 120}{\sqrt{2}})}^{\frac{2}{3}}

175.3042m² = \sqrt{3} \cdot {(\frac{12 \cdot 120m³}{\sqrt{2}})}^{\frac{2}{3}}

175.3042 = \sqrt{3} \cdot {(\frac{12 \cdot 120}{\sqrt{2}})}^{\frac{2}{3}}

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Total Surface Area of Tetrahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = \sqrt{3} \cdot {(\frac{12 \cdot 120m³}{\sqrt{2}})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

TSA = \sqrt{3} \cdot {(\frac{12 \cdot 120}{\sqrt{2}})}^{\frac{2}{3}}

Next Step Evaluate

∴

TSA = 175.304187487904m²

LAST Step Rounding Answer

∴

TSA = 175.3042m²

Total Surface Area of Tetrahedron given Volume 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

Volume of Tetrahedron

Volume of Tetrahedron is the total quantity of three dimensional space enclosed by the surface of the Tetrahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 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}

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 given Volume?

Total Surface Area of Tetrahedron given Volume evaluator uses Total Surface Area of Tetrahedron = sqrt(3)*((12*Volume of Tetrahedron)/sqrt(2))^(2/3) to evaluate the Total Surface Area of Tetrahedron, Total Surface Area of Tetrahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Tetrahedron, and calculated using the volume of the Tetrahedron. Total Surface Area of Tetrahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Tetrahedron given Volume

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

The formula of Total Surface Area of Tetrahedron given Volume is expressed as Total Surface Area of Tetrahedron = sqrt(3)*((12*Volume of Tetrahedron)/sqrt(2))^(2/3). Here is an example- 175.3042 = sqrt(3)*((12*120)/sqrt(2))^(2/3).

How to calculate Total Surface Area of Tetrahedron given Volume?

With Volume of Tetrahedron (V) we can find Total Surface Area of Tetrahedron given Volume using the formula - Total Surface Area of Tetrahedron = sqrt(3)*((12*Volume of Tetrahedron)/sqrt(2))^(2/3). 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)*((2*sqrt(2)*Circumsphere Radius of Tetrahedron)/sqrt(3))^2
Total Surface Area of Tetrahedron=sqrt(3)*(sqrt(3/2)*Height of Tetrahedron)^2

Can the Total Surface Area of Tetrahedron given Volume be negative?

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

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

Total Surface Area of Tetrahedron given Volume 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 Volume can be measured.

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