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Volume of Triangular Bipyramid given Surface to Volume Ratio Formula

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Volume of Triangular Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Triangular Bipyramid. Check FAQs

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

V - Volume of Triangular Bipyramid?R_A/V - Surface to Volume Ratio of Triangular Bipyramid?

Volume of Triangular Bipyramid given Surface to Volume Ratio Example

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

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

Here is how the Volume of Triangular Bipyramid given Surface to Volume Ratio equation looks like.

237.1647 = \frac{\sqrt{2}}{6} \cdot {(\frac{\frac{3}{2} \cdot \sqrt{3}}{\frac{\sqrt{2}}{6} \cdot 1.1})}^{3}

237.1647m³ = \frac{\sqrt{2}}{6} \cdot {(\frac{\frac{3}{2} \cdot \sqrt{3}}{\frac{\sqrt{2}}{6} \cdot 1.1m⁻¹})}^{3}

237.1647 = \frac{\sqrt{2}}{6} \cdot {(\frac{\frac{3}{2} \cdot \sqrt{3}}{\frac{\sqrt{2}}{6} \cdot 1.1})}^{3}

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Volume of Triangular Bipyramid given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Volume of Triangular Bipyramid given Surface to Volume Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{\sqrt{2}}{6} \cdot {(\frac{\frac{3}{2} \cdot \sqrt{3}}{\frac{\sqrt{2}}{6} \cdot 1.1m⁻¹})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{\sqrt{2}}{6} \cdot {(\frac{\frac{3}{2} \cdot \sqrt{3}}{\frac{\sqrt{2}}{6} \cdot 1.1})}^{3}

Next Step Evaluate

∴

V = 237.164733042395m³

LAST Step Rounding Answer

∴

V = 237.1647m³

Volume of Triangular Bipyramid given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Triangular Bipyramid

Volume of Triangular Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Triangular Bipyramid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Triangular Bipyramid

Surface to Volume Ratio of Triangular Bipyramid

Surface to Volume Ratio of Triangular Bipyramid is the numerical ratio of the total surface area of a Triangular Bipyramid to the volume of the Triangular Bipyramid.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Triangular Bipyramid

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 Triangular Bipyramid

Go Volume of Triangular Bipyramid

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

Go Volume of Triangular Bipyramid given Height

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

Go Volume of Triangular Bipyramid given Total Surface Area

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

How to Evaluate Volume of Triangular Bipyramid given Surface to Volume Ratio?

Volume of Triangular Bipyramid given Surface to Volume Ratio evaluator uses Volume of Triangular Bipyramid = sqrt(2)/6*((3/2*sqrt(3))/(sqrt(2)/6*Surface to Volume Ratio of Triangular Bipyramid))^3 to evaluate the Volume of Triangular Bipyramid, The Volume of Triangular Bipyramid given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Bipyramid and is calculated using the surface to volume ratio of the Triangular Bipyramid. Volume of Triangular Bipyramid is denoted by V symbol.

How to evaluate Volume of Triangular Bipyramid given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Triangular Bipyramid given Surface to Volume Ratio, enter Surface to Volume Ratio of Triangular Bipyramid (R_A/V) and hit the calculate button.

FAQs on Volume of Triangular Bipyramid given Surface to Volume Ratio

What is the formula to find Volume of Triangular Bipyramid given Surface to Volume Ratio?

The formula of Volume of Triangular Bipyramid given Surface to Volume Ratio is expressed as Volume of Triangular Bipyramid = sqrt(2)/6*((3/2*sqrt(3))/(sqrt(2)/6*Surface to Volume Ratio of Triangular Bipyramid))^3. Here is an example- 237.1647 = sqrt(2)/6*((3/2*sqrt(3))/(sqrt(2)/6*1.1))^3.

How to calculate Volume of Triangular Bipyramid given Surface to Volume Ratio?

With Surface to Volume Ratio of Triangular Bipyramid (R_A/V) we can find Volume of Triangular Bipyramid given Surface to Volume Ratio using the formula - Volume of Triangular Bipyramid = sqrt(2)/6*((3/2*sqrt(3))/(sqrt(2)/6*Surface to Volume Ratio of Triangular Bipyramid))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Triangular Bipyramid?

Here are the different ways to Calculate Volume of Triangular Bipyramid-

Volume of Triangular Bipyramid=sqrt(2)/6*Edge Length of Triangular Bipyramid^3
Volume of Triangular Bipyramid=sqrt(2)/6*(Height of Triangular Bipyramid/(2/3*sqrt(6)))^3
Volume of Triangular Bipyramid=sqrt(2)/6*(sqrt(Total Surface Area of Triangular Bipyramid/(3/2*sqrt(3))))^3

Can the Volume of Triangular Bipyramid given Surface to Volume Ratio be negative?

No, the Volume of Triangular Bipyramid given Surface to Volume Ratio, measured in Volume cannot be negative.

Which unit is used to measure Volume of Triangular Bipyramid given Surface to Volume Ratio?

Volume of Triangular Bipyramid 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 Triangular Bipyramid given Surface to Volume Ratio can be measured.

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