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Volume of Tetrahedron given Total Surface Area Formula

GoVolume of Tetrahedron Formula

GoVolume of Tetrahedron given Face Area Formula

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

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

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

Volume of Tetrahedron given Total Surface Area Example

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

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

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

114.5951 = \frac{\sqrt{2}}{12} \cdot {(\frac{170}{\sqrt{3}})}^{\frac{3}{2}}

114.5951m³ = \frac{\sqrt{2}}{12} \cdot {(\frac{170m²}{\sqrt{3}})}^{\frac{3}{2}}

114.5951 = \frac{\sqrt{2}}{12} \cdot {(\frac{170}{\sqrt{3}})}^{\frac{3}{2}}

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Volume of Tetrahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{\sqrt{2}}{12} \cdot {(\frac{170m²}{\sqrt{3}})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = \frac{\sqrt{2}}{12} \cdot {(\frac{170}{\sqrt{3}})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 114.595138230865m³

LAST Step Rounding Answer

∴

V = 114.5951m³

Volume of Tetrahedron given Total Surface Area Formula Elements

Variables

Functions

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

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

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 Volume of Tetrahedron

Go Volume of Tetrahedron

V = \frac{{l e}^{3}}{6 \cdot \sqrt{2}}

Go Volume of Tetrahedron given Face Area

V = \frac{{(\frac{4 \cdot A Face}{\sqrt{3}})}^{\frac{3}{2}}}{6 \cdot \sqrt{2}}

Go Volume of Tetrahedron given Height

V = \frac{{(\sqrt{\frac{3}{2}} \cdot h)}^{3}}{6 \cdot \sqrt{2}}

How to Evaluate Volume of Tetrahedron given Total Surface Area?

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

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

FAQs on Volume of Tetrahedron given Total Surface Area

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

The formula of Volume of Tetrahedron given Total Surface Area is expressed as Volume of Tetrahedron = sqrt(2)/12*(Total Surface Area of Tetrahedron/sqrt(3))^(3/2). Here is an example- 114.5951 = sqrt(2)/12*(170/sqrt(3))^(3/2).

How to calculate Volume of Tetrahedron given Total Surface Area?

With Total Surface Area of Tetrahedron (TSA) we can find Volume of Tetrahedron given Total Surface Area using the formula - Volume of Tetrahedron = sqrt(2)/12*(Total Surface Area of Tetrahedron/sqrt(3))^(3/2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Tetrahedron?

Here are the different ways to Calculate Volume of Tetrahedron-

Volume of Tetrahedron=(Edge Length of Tetrahedron^3)/(6*sqrt(2))
Volume of Tetrahedron=(((4*Face Area of Tetrahedron)/sqrt(3))^(3/2))/(6*sqrt(2))
Volume of Tetrahedron=((sqrt(3/2)*Height of Tetrahedron)^3)/(6*sqrt(2))

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

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

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

Volume of Tetrahedron given Total Surface Area is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Tetrahedron given Total Surface Area can be measured.

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