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Volume of Tetragonal Trapezohedron given Short Edge Formula

GoVolume of Tetragonal Trapezohedron Formula

GoVolume of Tetragonal Trapezohedron given Long 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{l e(Short)}{\sqrt{\sqrt{2} - 1}})}^{3})

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

Volume of Tetragonal Trapezohedron given Short Edge Example

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

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

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

775.4061 = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{6}{\sqrt{\sqrt{2} - 1}})}^{3})

775.4061m³ = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{6m}{\sqrt{\sqrt{2} - 1}})}^{3})

775.4061 = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{6}{\sqrt{\sqrt{2} - 1}})}^{3})

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Volume of Tetragonal Trapezohedron given Short Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{6m}{\sqrt{\sqrt{2} - 1}})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{6}{\sqrt{\sqrt{2} - 1}})}^{3})

Next Step Evaluate

∴

V = 775.406091929272m³

LAST Step Rounding Answer

∴

V = 775.4061m³

Volume of Tetragonal Trapezohedron given Short 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

Short Edge of Tetragonal Trapezohedron

Short Edge of Tetragonal Trapezohedron is the length of any of the shorter edges of the Tetragonal Trapezohedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short 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 Long Edge

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})

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 Short Edge?

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

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

FAQs on Volume of Tetragonal Trapezohedron given Short Edge

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

The formula of Volume of Tetragonal Trapezohedron given Short Edge is expressed as Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*((Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1)))^3). Here is an example- 775.4061 = (1/3)*sqrt(4+3*sqrt(2))*((6/(sqrt(sqrt(2)-1)))^3).

How to calculate Volume of Tetragonal Trapezohedron given Short Edge?

With Short Edge of Tetragonal Trapezohedron (l_e(Short)) we can find Volume of Tetragonal Trapezohedron given Short Edge using the formula - Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*((Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1)))^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))*(((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))^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 Short Edge be negative?

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

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

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

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