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Volume of Half Tetrahedron given Total Surface Area Formula

GoVolume of Half Tetrahedron Formula

GoVolume of Half Tetrahedron given Half Edges Formula

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The Volume of Half Tetrahedron is the amount of three-dimensional space that is enclosed by a Half Tetrahedron. Check FAQs

V = \frac{{(\sqrt{\frac{TSA}{\frac{\sqrt{3}}{2} + \frac{1}{4}}})}^{3}}{24} \cdot \sqrt{2}

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

Volume of Half Tetrahedron given Total Surface Area Example

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

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

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

57.6609 = \frac{{(\sqrt{\frac{110}{\frac{\sqrt{3}}{2} + \frac{1}{4}}})}^{3}}{24} \cdot \sqrt{2}

57.6609m³ = \frac{{(\sqrt{\frac{110m²}{\frac{\sqrt{3}}{2} + \frac{1}{4}}})}^{3}}{24} \cdot \sqrt{2}

57.6609 = \frac{{(\sqrt{\frac{110}{\frac{\sqrt{3}}{2} + \frac{1}{4}}})}^{3}}{24} \cdot \sqrt{2}

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Volume of Half Tetrahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

V = \frac{{(\sqrt{\frac{TSA}{\frac{\sqrt{3}}{2} + \frac{1}{4}}})}^{3}}{24} \cdot \sqrt{2}

Next Step Substitute values of Variables

∴

V = \frac{{(\sqrt{\frac{110m²}{\frac{\sqrt{3}}{2} + \frac{1}{4}}})}^{3}}{24} \cdot \sqrt{2}

Next Step Prepare to Evaluate

∴

V = \frac{{(\sqrt{\frac{110}{\frac{\sqrt{3}}{2} + \frac{1}{4}}})}^{3}}{24} \cdot \sqrt{2}

Next Step Evaluate

∴

V = 57.6609327150567m³

LAST Step Rounding Answer

∴

V = 57.6609m³

Volume of Half Tetrahedron given Total Surface Area Formula Elements

Variables

Functions

Volume of Half Tetrahedron

The Volume of Half Tetrahedron is the amount of three-dimensional space that is enclosed by a Half Tetrahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Half Tetrahedron

Total Surface Area of Half Tetrahedron

The Total Surface Area of Half Tetrahedron is the total area or region occupied by all the faces of the Half Tetrahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Half 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 Half Tetrahedron

Go Volume of Half Tetrahedron

V = \frac{{l e(Tetrahedral)}^{3}}{24} \cdot \sqrt{2}

Go Volume of Half Tetrahedron given Half Edges

V = \frac{{(2 \cdot l e(Half))}^{3}}{24} \cdot \sqrt{2}

Go Volume of Half Tetrahedron given Height

V = \frac{{(\sqrt{6} \cdot h)}^{3}}{24} \cdot \sqrt{2}

Go Volume of Half Tetrahedron given Surface to Volume Ratio

V = \frac{{(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{R A/V}{24} \cdot \sqrt{2}})}^{3}}{24} \cdot \sqrt{2}

How to Evaluate Volume of Half Tetrahedron given Total Surface Area?

Volume of Half Tetrahedron given Total Surface Area evaluator uses Volume of Half Tetrahedron = ((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))^3)/24*sqrt(2) to evaluate the Volume of Half Tetrahedron, The Volume of Half Tetrahedron given Total Surface Area formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron, calculated using its total surface area. Volume of Half Tetrahedron is denoted by V symbol.

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

FAQs on Volume of Half Tetrahedron given Total Surface Area

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

The formula of Volume of Half Tetrahedron given Total Surface Area is expressed as Volume of Half Tetrahedron = ((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))^3)/24*sqrt(2). Here is an example- 57.66093 = ((sqrt(110/(sqrt(3)/2+1/4)))^3)/24*sqrt(2).

How to calculate Volume of Half Tetrahedron given Total Surface Area?

With Total Surface Area of Half Tetrahedron (TSA) we can find Volume of Half Tetrahedron given Total Surface Area using the formula - Volume of Half Tetrahedron = ((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))^3)/24*sqrt(2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Half Tetrahedron?

Here are the different ways to Calculate Volume of Half Tetrahedron-

Volume of Half Tetrahedron=(Tetrahedral Edge of Half Tetrahedron^3)/24*sqrt(2)
Volume of Half Tetrahedron=((2*Half Edge of Half Tetrahedron)^3)/24*sqrt(2)
Volume of Half Tetrahedron=((sqrt(6)*Height of Half Tetrahedron)^3)/24*sqrt(2)

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

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

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

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

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