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Volume of Gyroelongated Pentagonal Pyramid given Height Formula

GoVolume of Gyroelongated Pentagonal Pyramid Formula

GoVolume of Gyroelongated Pentagonal Pyramid given Total Surface Area Formula

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

V = (\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot {(\frac{h}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

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

Volume of Gyroelongated Pentagonal Pyramid given Height Example

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

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

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

1978.6522 = (\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot {(\frac{14}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

1978.6522m³ = (\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot {(\frac{14m}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

1978.6522 = (\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot {(\frac{14}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

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Volume of Gyroelongated Pentagonal Pyramid given Height Solution

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

FIRST Step Consider the formula

V = (\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot {(\frac{h}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

Next Step Substitute values of Variables

∴

V = (\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot {(\frac{14m}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

Next Step Prepare to Evaluate

∴

V = (\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot {(\frac{14}{\sqrt{1 - \frac{4}{10 + (2 \cdot \sqrt{5})}} + \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{3}

Next Step Evaluate

∴

V = 1978.65221783573m³

LAST Step Rounding Answer

∴

V = 1978.6522m³

Volume of Gyroelongated Pentagonal Pyramid given Height Formula Elements

Variables

Functions

Volume of Gyroelongated Pentagonal Pyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Gyroelongated Pentagonal Pyramid

Height of Gyroelongated Pentagonal Pyramid

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

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Gyroelongated 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 Gyroelongated Pentagonal Pyramid

Go Volume of Gyroelongated Pentagonal Pyramid

V = (\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot {l e}^{3}

Go Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area

V = (\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot {(\sqrt{\frac{SA Total}{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}})}^{3}

Go Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio

V = (\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot {(\frac{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}{(\frac{5 \cdot (\sqrt{5} + 1) \cdot \sqrt{\frac{10 + (2 \cdot \sqrt{5})}{4} - 1}}{3 \cdot (10 - (2 \cdot \sqrt{5}))} + \frac{5 + \sqrt{5}}{24}) \cdot AV})}^{3}

How to Evaluate Volume of Gyroelongated Pentagonal Pyramid given Height?

Volume of Gyroelongated Pentagonal Pyramid given Height evaluator uses Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)))^3 to evaluate the Volume of Gyroelongated Pentagonal Pyramid, The Volume of Gyroelongated Pentagonal Pyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Pentagonal Pyramid and is calculated using the height of the Gyroelongated Pentagonal Pyramid. Volume of Gyroelongated Pentagonal Pyramid is denoted by V symbol.

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

FAQs on Volume of Gyroelongated Pentagonal Pyramid given Height

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

The formula of Volume of Gyroelongated Pentagonal Pyramid given Height is expressed as Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)))^3. Here is an example- 1978.652 = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(14/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)))^3.

How to calculate Volume of Gyroelongated Pentagonal Pyramid given Height?

With Height of Gyroelongated Pentagonal Pyramid (h) we can find Volume of Gyroelongated Pentagonal Pyramid given Height using the formula - Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Gyroelongated Pentagonal Pyramid?

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

Volume of Gyroelongated Pentagonal Pyramid=((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*Edge Length of Gyroelongated Pentagonal Pyramid^3
Volume of Gyroelongated Pentagonal Pyramid=((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3
Volume of Gyroelongated Pentagonal Pyramid=((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*((((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)/(((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*SA:V of Gyroelongated Pentagonal Pyramid))^3

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

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

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

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

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