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Volume of Elongated Pentagonal Bipyramid given Height Formula

GoVolume of Elongated Pentagonal Bipyramid Formula

GoVolume of Elongated Pentagonal Bipyramid given Total Surface Area 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 {(\frac{h}{(2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1})}^{3}

V - Volume of Elongated Pentagonal Bipyramid?h - Height of Elongated Pentagonal Bipyramid?

Volume of Elongated Pentagonal Bipyramid given Height Example

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

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

Here is how the Volume of Elongated Pentagonal Bipyramid given Height equation looks like.

2152.9747 = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\frac{20}{(2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1})}^{3}

2152.9747m³ = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\frac{20m}{(2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1})}^{3}

2152.9747 = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\frac{20}{(2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1})}^{3}

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Volume of Elongated Pentagonal Bipyramid given Height Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

V = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\frac{20m}{(2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1})}^{3}

Next Step Prepare to Evaluate

∴

V = (\frac{5 + \sqrt{5}}{12} + \frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{4}) \cdot {(\frac{20}{(2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}) + 1})}^{3}

Next Step Evaluate

∴

V = 2152.97469678999m³

LAST Step Rounding Answer

∴

V = 2152.9747m³

Volume of Elongated Pentagonal Bipyramid given Height 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

Height of Elongated Pentagonal Bipyramid

Height of Elongated Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Bipyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Total Surface Area

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}

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 Height?

Volume of Elongated Pentagonal Bipyramid given Height evaluator uses 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 to evaluate the Volume of Elongated Pentagonal Bipyramid, The Volume of Elongated Pentagonal Bipyramid given Height 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 height of the Elongated Pentagonal Bipyramid. Volume of Elongated Pentagonal Bipyramid is denoted by V symbol.

How to evaluate Volume of Elongated Pentagonal Bipyramid given Height using this online evaluator? To use this online evaluator for Volume of Elongated Pentagonal Bipyramid given Height, enter Height of Elongated Pentagonal Bipyramid (h) and hit the calculate button.

FAQs on Volume of Elongated Pentagonal Bipyramid given Height

What is the formula to find Volume of Elongated Pentagonal Bipyramid given Height?

The formula of Volume of Elongated Pentagonal Bipyramid given Height is expressed as 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. Here is an example- 2152.975 = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(20/((2*sqrt((5-sqrt(5))/10))+1))^3.

How to calculate Volume of Elongated Pentagonal Bipyramid given Height?

With Height of Elongated Pentagonal Bipyramid (h) we can find Volume of Elongated Pentagonal Bipyramid given Height using the formula - 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. 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)*(sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5)))^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 Height be negative?

No, the Volume of Elongated Pentagonal Bipyramid given Height, measured in Volume cannot be negative.

Which unit is used to measure Volume of Elongated Pentagonal Bipyramid given Height?

Volume of Elongated Pentagonal Bipyramid given Height 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 Height can be measured.

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