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Volume of Tetragonal Trapezohedron given Long Edge Formula

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GoVolume of Tetragonal Trapezohedron given Short Edge Formula

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Volume of Tetragonal Trapezohedron is the amount of three dimensional space covered by Tetragonal Trapezohedron. Check FAQs

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot l e(Long)}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{3})

V - Volume of Tetragonal Trapezohedron?l_e(Long) - Long Edge of Tetragonal Trapezohedron?

Volume of Tetragonal Trapezohedron given Long Edge Example

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Here is how the Volume of Tetragonal Trapezohedron given Long Edge equation looks like with Values.

Here is how the Volume of Tetragonal Trapezohedron given Long Edge equation looks like with Units.

Here is how the Volume of Tetragonal Trapezohedron given Long Edge equation looks like.

960.4427 = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot 11}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{3})

960.4427m³ = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot 11m}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{3})

960.4427 = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot 11}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{3})

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Volume of Tetragonal Trapezohedron given Long Edge Solution

Follow our step by step solution on how to calculate Volume of Tetragonal Trapezohedron given Long Edge?

FIRST Step Consider the formula

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot l e(Long)}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{3})

Next Step Substitute values of Variables

∴

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot 11m}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot 11}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{3})

Next Step Evaluate

∴

V = 960.442679059451m³

LAST Step Rounding Answer

∴

V = 960.4427m³

Volume of Tetragonal Trapezohedron given Long Edge Formula Elements

Variables

Functions

Volume of Tetragonal Trapezohedron

Volume of Tetragonal Trapezohedron is the amount of three dimensional space covered by Tetragonal Trapezohedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Tetragonal Trapezohedron

Long Edge of Tetragonal Trapezohedron

Long Edge of Tetragonal Trapezohedron is the length of the any of the longer edges of the Tetragonal Trapezohedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Tetragonal Trapezohedron

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 Tetragonal Trapezohedron

Go Volume of Tetragonal Trapezohedron

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({l e(Antiprism)}^{3})

Go Volume of Tetragonal Trapezohedron given Short Edge

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{l e(Short)}{\sqrt{\sqrt{2} - 1}})}^{3})

Go Volume of Tetragonal Trapezohedron given Height

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

Go Volume of Tetragonal Trapezohedron given Total Surface Area

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

How to Evaluate Volume of Tetragonal Trapezohedron given Long Edge?

Volume of Tetragonal Trapezohedron given Long Edge evaluator uses Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*(((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))^3) to evaluate the Volume of Tetragonal Trapezohedron, The Volume of Tetragonal Trapezohedron given Long Edge formula is defined as the quantity of three-dimensional space enclosed by a Tetragonal Trapezohedron, calculated using its long edge. Volume of Tetragonal Trapezohedron is denoted by V symbol.

How to evaluate Volume of Tetragonal Trapezohedron given Long Edge using this online evaluator? To use this online evaluator for Volume of Tetragonal Trapezohedron given Long Edge, enter Long Edge of Tetragonal Trapezohedron (l_e(Long)) and hit the calculate button.

FAQs on Volume of Tetragonal Trapezohedron given Long Edge

What is the formula to find Volume of Tetragonal Trapezohedron given Long Edge?

The formula of Volume of Tetragonal Trapezohedron given Long Edge is expressed as Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*(((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))^3). Here is an example- 960.4427 = (1/3)*sqrt(4+3*sqrt(2))*(((2*11)/(sqrt(2*(1+sqrt(2)))))^3).

How to calculate Volume of Tetragonal Trapezohedron given Long Edge?

With Long Edge of Tetragonal Trapezohedron (l_e(Long)) we can find Volume of Tetragonal Trapezohedron given Long Edge using the formula - Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*(((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))^3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Tetragonal Trapezohedron?

Here are the different ways to Calculate Volume of Tetragonal Trapezohedron-

Volume of Tetragonal Trapezohedron=(1/3)*sqrt(4+3*sqrt(2))*(Antiprism Edge Length of Tetragonal Trapezohedron^3)
Volume of Tetragonal Trapezohedron=(1/3)*sqrt(4+3*sqrt(2))*((Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1)))^3)
Volume of Tetragonal Trapezohedron=(1/3)*sqrt(4+3*sqrt(2))*((Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2)))))^3)

Can the Volume of Tetragonal Trapezohedron given Long Edge be negative?

No, the Volume of Tetragonal Trapezohedron given Long Edge, measured in Volume cannot be negative.

Which unit is used to measure Volume of Tetragonal Trapezohedron given Long Edge?

Volume of Tetragonal Trapezohedron given Long Edge 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 Tetragonal Trapezohedron given Long Edge can be measured.

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