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Volume of Tetragonal Trapezohedron given Surface to Volume Ratio 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 \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot AV})}^{3})

V - Volume of Tetragonal Trapezohedron?AV - SA:V of Tetragonal Trapezohedron?

Volume of Tetragonal Trapezohedron given Surface to Volume Ratio Example

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Here is how the Volume of Tetragonal Trapezohedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Volume of Tetragonal Trapezohedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Volume of Tetragonal Trapezohedron given Surface to Volume Ratio equation looks like.

856.8167 = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot 0.6})}^{3})

856.8167m³ = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot 0.6m⁻¹})}^{3})

856.8167 = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot 0.6})}^{3})

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Volume of Tetragonal Trapezohedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Volume of Tetragonal Trapezohedron given Surface to Volume Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot 0.6m⁻¹})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot 0.6})}^{3})

Next Step Evaluate

∴

V = 856.816748360279m³

LAST Step Rounding Answer

∴

V = 856.8167m³

Volume of Tetragonal Trapezohedron given Surface to Volume Ratio 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

SA:V of Tetragonal Trapezohedron

SA:V of Tetragonal Trapezohedron is the numerical ratio of the total surface area of the Tetragonal Trapezohedron to the volume of the Tetragonal Trapezohedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 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})

How to Evaluate Volume of Tetragonal Trapezohedron given Surface to Volume Ratio?

Volume of Tetragonal Trapezohedron given Surface to Volume Ratio evaluator uses Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*(((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*SA:V of Tetragonal Trapezohedron))^3) to evaluate the Volume of Tetragonal Trapezohedron, The Volume of Tetragonal Trapezohedron given Surface to Volume Ratio formula is defined as the quantity of three-dimensional space enclosed by the Tetragonal Trapezohedron, calculated using its surface to volume ratio. Volume of Tetragonal Trapezohedron is denoted by V symbol.

How to evaluate Volume of Tetragonal Trapezohedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Tetragonal Trapezohedron given Surface to Volume Ratio, enter SA:V of Tetragonal Trapezohedron (AV) and hit the calculate button.

FAQs on Volume of Tetragonal Trapezohedron given Surface to Volume Ratio

What is the formula to find Volume of Tetragonal Trapezohedron given Surface to Volume Ratio?

The formula of Volume of Tetragonal Trapezohedron given Surface to Volume Ratio is expressed as Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*(((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*SA:V of Tetragonal Trapezohedron))^3). Here is an example- 856.8167 = (1/3)*sqrt(4+3*sqrt(2))*(((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*0.6))^3).

How to calculate Volume of Tetragonal Trapezohedron given Surface to Volume Ratio?

With SA:V of Tetragonal Trapezohedron (AV) we can find Volume of Tetragonal Trapezohedron given Surface to Volume Ratio using the formula - Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*(((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*SA:V of Tetragonal Trapezohedron))^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))*(((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))^3)

Can the Volume of Tetragonal Trapezohedron given Surface to Volume Ratio be negative?

No, the Volume of Tetragonal Trapezohedron given Surface to Volume Ratio, measured in Volume cannot be negative.

Which unit is used to measure Volume of Tetragonal Trapezohedron given Surface to Volume Ratio?

Volume of Tetragonal Trapezohedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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