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Volume of Elongated Pentagonal Bipyramid given Total Surface Area Formula

GoVolume of Elongated Pentagonal Bipyramid Formula

GoVolume of Elongated Pentagonal Bipyramid given Height Formula

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

V = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\sqrt{\frac{SA Total}{\frac{5 \cdot \sqrt{3}}{2} + 5}})}^{3}

V - Volume of Elongated Pentagonal Bipyramid?SA_Total - TSA of Elongated Pentagonal Bipyramid?

Volume of Elongated Pentagonal Bipyramid given Total Surface Area Example

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Here is how the Volume of Elongated Pentagonal Bipyramid given Total Surface Area equation looks like with Values.

Here is how the Volume of Elongated Pentagonal Bipyramid given Total Surface Area equation looks like with Units.

Here is how the Volume of Elongated Pentagonal Bipyramid given Total Surface Area equation looks like.

2312.2384 = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\sqrt{\frac{930}{\frac{5 \cdot \sqrt{3}}{2} + 5}})}^{3}

2312.2384m³ = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\sqrt{\frac{930m²}{\frac{5 \cdot \sqrt{3}}{2} + 5}})}^{3}

2312.2384 = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\sqrt{\frac{930}{\frac{5 \cdot \sqrt{3}}{2} + 5}})}^{3}

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Volume of Elongated Pentagonal Bipyramid given Total Surface Area Solution

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

FIRST Step Consider the formula

V = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\sqrt{\frac{SA Total}{\frac{5 \cdot \sqrt{3}}{2} + 5}})}^{3}

Next Step Substitute values of Variables

∴

V = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\sqrt{\frac{930m²}{\frac{5 \cdot \sqrt{3}}{2} + 5}})}^{3}

Next Step Prepare to Evaluate

∴

V = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\sqrt{\frac{930}{\frac{5 \cdot \sqrt{3}}{2} + 5}})}^{3}

Next Step Evaluate

∴

V = 2312.23835020861m³

LAST Step Rounding Answer

∴

V = 2312.2384m³

Volume of Elongated Pentagonal Bipyramid given Total Surface Area Formula Elements

Variables

Functions

Volume of Elongated Pentagonal Bipyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Elongated Pentagonal Bipyramid

TSA of Elongated Pentagonal Bipyramid

TSA of Elongated Pentagonal Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Pentagonal Bipyramid.

Symbol: SA_Total

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find TSA of Elongated 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 Elongated Pentagonal Bipyramid

Go Volume of Elongated Pentagonal Bipyramid

V = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {l e}^{3}

Go Volume of Elongated Pentagonal Bipyramid given Height

V = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\frac{h}{(2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1})}^{3}

Go Volume of Elongated Pentagonal Bipyramid given Surface to Volume Ratio

V = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2} + 5}{(\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot AV})}^{3}

How to Evaluate Volume of Elongated Pentagonal Bipyramid given Total Surface Area?

Volume of Elongated Pentagonal Bipyramid given Total Surface Area evaluator uses Volume of Elongated Pentagonal Bipyramid = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5)))^3 to evaluate the Volume of Elongated Pentagonal Bipyramid, The Volume of Elongated Pentagonal Bipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Bipyramid and is calculated using the total surface area of the Elongated Pentagonal Bipyramid. Volume of Elongated Pentagonal Bipyramid is denoted by V symbol.

How to evaluate Volume of Elongated Pentagonal Bipyramid given Total Surface Area using this online evaluator? To use this online evaluator for Volume of Elongated Pentagonal Bipyramid given Total Surface Area, enter TSA of Elongated Pentagonal Bipyramid (SA_Total) and hit the calculate button.

FAQs on Volume of Elongated Pentagonal Bipyramid given Total Surface Area

What is the formula to find Volume of Elongated Pentagonal Bipyramid given Total Surface Area?

The formula of Volume of Elongated Pentagonal Bipyramid given Total Surface Area is expressed as Volume of Elongated Pentagonal Bipyramid = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5)))^3. Here is an example- 2312.238 = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(930/((5*sqrt(3))/2+5)))^3.

How to calculate Volume of Elongated Pentagonal Bipyramid given Total Surface Area?

With TSA of Elongated Pentagonal Bipyramid (SA_Total) we can find Volume of Elongated Pentagonal Bipyramid given Total Surface Area using the formula - Volume of Elongated Pentagonal Bipyramid = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5)))^3. This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Elongated Pentagonal Bipyramid=((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Edge Length of Elongated Pentagonal Bipyramid^3
Volume of Elongated Pentagonal Bipyramid=((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(Height of Elongated Pentagonal Bipyramid/((2*sqrt((5-sqrt(5))/10))+1))^3
Volume of Elongated Pentagonal Bipyramid=((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*SA:V of Elongated Pentagonal Bipyramid))^3

Can the Volume of Elongated Pentagonal Bipyramid given Total Surface Area be negative?

No, the Volume of Elongated Pentagonal Bipyramid given Total Surface Area, measured in Volume cannot be negative.

Which unit is used to measure Volume of Elongated Pentagonal Bipyramid given Total Surface Area?

Volume of Elongated Pentagonal Bipyramid given Total Surface Area 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 Elongated Pentagonal Bipyramid given Total Surface Area can be measured.

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