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Volume of Tetrahedron given Midsphere Radius Formula

GoVolume of Tetrahedron Formula

GoVolume of Tetrahedron given Total Surface 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{{(2 \cdot \sqrt{2} \cdot r m)}^{3}}{6 \cdot \sqrt{2}}

V - Volume of Tetrahedron?r_m - Midsphere Radius of Tetrahedron?

Volume of Tetrahedron given Midsphere Radius Example

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Here is how the Volume of Tetrahedron given Midsphere Radius equation looks like with Values.

Here is how the Volume of Tetrahedron given Midsphere Radius equation looks like with Units.

Here is how the Volume of Tetrahedron given Midsphere Radius equation looks like.

170.6667 = \frac{{(2 \cdot \sqrt{2} \cdot 4)}^{3}}{6 \cdot \sqrt{2}}

170.6667m³ = \frac{{(2 \cdot \sqrt{2} \cdot 4m)}^{3}}{6 \cdot \sqrt{2}}

170.6667 = \frac{{(2 \cdot \sqrt{2} \cdot 4)}^{3}}{6 \cdot \sqrt{2}}

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Volume of Tetrahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Volume of Tetrahedron given Midsphere Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 170.666666666667m³

LAST Step Rounding Answer

∴

V = 170.6667m³

Volume of Tetrahedron given Midsphere Radius 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

Midsphere Radius of Tetrahedron

Midsphere Radius of Tetrahedron is the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Volume of Tetrahedron

Go Volume of Tetrahedron

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

Go Volume of Tetrahedron given Total Surface Area

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

Go Volume of Tetrahedron given Surface to Volume Ratio

V = \frac{{(\frac{6 \cdot \sqrt{6}}{R A/V})}^{3}}{6 \cdot \sqrt{2}}

Go Volume of Tetrahedron given Circumsphere Radius

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

How to Evaluate Volume of Tetrahedron given Midsphere Radius?

Volume of Tetrahedron given Midsphere Radius evaluator uses Volume of Tetrahedron = ((2*sqrt(2)*Midsphere Radius of Tetrahedron)^3)/(6*sqrt(2)) to evaluate the Volume of Tetrahedron, The Volume of Tetrahedron given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Tetrahedron, and calculated using the midsphere radius of the Tetrahedron. Volume of Tetrahedron is denoted by V symbol.

How to evaluate Volume of Tetrahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Volume of Tetrahedron given Midsphere Radius, enter Midsphere Radius of Tetrahedron (r_m) and hit the calculate button.

FAQs on Volume of Tetrahedron given Midsphere Radius

What is the formula to find Volume of Tetrahedron given Midsphere Radius?

The formula of Volume of Tetrahedron given Midsphere Radius is expressed as Volume of Tetrahedron = ((2*sqrt(2)*Midsphere Radius of Tetrahedron)^3)/(6*sqrt(2)). Here is an example- 170.6667 = ((2*sqrt(2)*4)^3)/(6*sqrt(2)).

How to calculate Volume of Tetrahedron given Midsphere Radius?

With Midsphere Radius of Tetrahedron (r_m) we can find Volume of Tetrahedron given Midsphere Radius using the formula - Volume of Tetrahedron = ((2*sqrt(2)*Midsphere Radius of Tetrahedron)^3)/(6*sqrt(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=sqrt(2)/12*(Total Surface Area of Tetrahedron/sqrt(3))^(3/2)
Volume of Tetrahedron=(((6*sqrt(6))/Surface to Volume Ratio of Tetrahedron)^3)/(6*sqrt(2))

Can the Volume of Tetrahedron given Midsphere Radius be negative?

No, the Volume of Tetrahedron given Midsphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Tetrahedron given Midsphere Radius?

Volume of Tetrahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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