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Volume of Pentagonal Bipyramid given Surface to Volume Ratio Formula

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

V = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot R A/V})}^{3}

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

Volume of Pentagonal Bipyramid given Surface to Volume Ratio Example

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

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

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

650.976 = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7})}^{3}

650.976m³ = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7m⁻¹})}^{3}

650.976 = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7})}^{3}

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Volume of Pentagonal Bipyramid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot R A/V})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7m⁻¹})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7})}^{3}

Next Step Evaluate

∴

V = 650.976039822864m³

LAST Step Rounding Answer

∴

V = 650.976m³

Volume of Pentagonal Bipyramid given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Pentagonal Bipyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pentagonal Bipyramid

Surface to Volume Ratio of Pentagonal Bipyramid

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

Go Volume of Pentagonal Bipyramid

V = \frac{5 + \sqrt{5}}{12} \cdot {l e}^{3}

Go Volume of Pentagonal Bipyramid given Height

V = \frac{5 + \sqrt{5}}{12} \cdot {(\frac{h}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

Go Volume of Pentagonal Bipyramid given Total Surface Area

V = \frac{5 + \sqrt{5}}{12} \cdot {(\sqrt{\frac{2 \cdot TSA}{5 \cdot \sqrt{3}}})}^{3}

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

Volume of Pentagonal Bipyramid given Surface to Volume Ratio evaluator uses Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^3 to evaluate the Volume of Pentagonal Bipyramid, The Volume of Pentagonal Bipyramid given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid and is calculated using the surface to volume ratio of the Pentagonal Bipyramid. Volume of Pentagonal Bipyramid is denoted by V symbol.

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

FAQs on Volume of Pentagonal Bipyramid given Surface to Volume Ratio

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

The formula of Volume of Pentagonal Bipyramid given Surface to Volume Ratio is expressed as Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^3. Here is an example- 650.976 = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*0.7))^3.

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

With Surface to Volume Ratio of Pentagonal Bipyramid (R_A/V) we can find Volume of Pentagonal Bipyramid given Surface to Volume Ratio using the formula - Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^3. This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Pentagonal Bipyramid=(5+sqrt(5))/12*Edge Length of Pentagonal Bipyramid^3
Volume of Pentagonal Bipyramid=(5+sqrt(5))/12*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^3
Volume of Pentagonal Bipyramid=(5+sqrt(5))/12*(sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))^3

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

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

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

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

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