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Volume of Elongated Pentagonal Pyramid given Height Formula

GoVolume of Elongated Pentagonal Pyramid Formula

GoVolume of Elongated Pentagonal Pyramid given Total Surface Area Formula

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

V = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\frac{h}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{3}

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

Volume of Elongated Pentagonal Pyramid given Height Example

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

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

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

1921.3951 = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\frac{15}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{3}

1921.3951m³ = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\frac{15m}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{3}

1921.3951 = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\frac{15}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{3}

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Volume of Elongated Pentagonal Pyramid given Height Solution

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

FIRST Step Consider the formula

V = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\frac{h}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{3}

Next Step Substitute values of Variables

∴

V = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\frac{15m}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{3}

Next Step Prepare to Evaluate

∴

V = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\frac{15}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1})}^{3}

Next Step Evaluate

∴

V = 1921.39508705238m³

LAST Step Rounding Answer

∴

V = 1921.3951m³

Volume of Elongated Pentagonal Pyramid given Height Formula Elements

Variables

Functions

Volume of Elongated Pentagonal Pyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Elongated Pentagonal Pyramid

Height of Elongated Pentagonal Pyramid

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

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Elongated Pentagonal Pyramid

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 Pyramid

Go Volume of Elongated Pentagonal Pyramid

V = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {l e}^{3}

Go Volume of Elongated Pentagonal Pyramid given Total Surface Area

V = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\sqrt{\frac{TSA}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}})}^{3}

Go Volume of Elongated Pentagonal Pyramid given Surface to Volume Ratio

V = (\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot {(\frac{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}{(\frac{5 + \sqrt{5}}{24} + \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4}) \cdot AV})}^{3}

How to Evaluate Volume of Elongated Pentagonal Pyramid given Height?

Volume of Elongated Pentagonal Pyramid given Height evaluator uses Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^3 to evaluate the Volume of Elongated Pentagonal Pyramid, The Volume of Elongated Pentagonal Pyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Pyramid and is calculated using the height of the Elongated Pentagonal Pyramid. Volume of Elongated Pentagonal Pyramid is denoted by V symbol.

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

FAQs on Volume of Elongated Pentagonal Pyramid given Height

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

The formula of Volume of Elongated Pentagonal Pyramid given Height is expressed as Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^3. Here is an example- 1921.395 = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(15/(sqrt((5-sqrt(5))/10)+1))^3.

How to calculate Volume of Elongated Pentagonal Pyramid given Height?

With Height of Elongated Pentagonal Pyramid (h) we can find Volume of Elongated Pentagonal Pyramid given Height using the formula - Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(Height of Elongated Pentagonal Pyramid/(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 Pyramid?

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

Volume of Elongated Pentagonal Pyramid=((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*Edge Length of Elongated Pentagonal Pyramid^3
Volume of Elongated Pentagonal Pyramid=((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)))^3
Volume of Elongated Pentagonal Pyramid=((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid))^3

Can the Volume of Elongated Pentagonal Pyramid given Height be negative?

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

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

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

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