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Volume of Gyroelongated Pentagonal Pyramid Formula

GoVolume of Gyroelongated Pentagonal Pyramid given Height 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 {l e}^{3}

V - Volume of Gyroelongated Pentagonal Pyramid?l_e - Edge Length of Gyroelongated Pentagonal Pyramid?

Volume of Gyroelongated Pentagonal Pyramid Example

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

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

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

1880.1922 = (\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 10^{3}

1880.1922m³ = (\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 {10m}^{3}

1880.1922 = (\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 10^{3}

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Volume of Gyroelongated Pentagonal Pyramid Solution

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

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 {l e}^{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 {10m}^{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 10^{3}

Next Step Evaluate

∴

V = 1880.19215822909m³

LAST Step Rounding Answer

∴

V = 1880.1922m³

Volume of Gyroelongated Pentagonal Pyramid 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

Edge Length of Gyroelongated Pentagonal Pyramid

Edge Length of Gyroelongated Pentagonal Pyramid is the length of any edge of the Gyroelongated Pentagonal Pyramid.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 given Height

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}

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?

Volume of Gyroelongated Pentagonal Pyramid 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)*Edge Length of Gyroelongated Pentagonal Pyramid^3 to evaluate the Volume of Gyroelongated Pentagonal Pyramid, The Volume of Gyroelongated Pentagonal Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Pentagonal Pyramid. Volume of Gyroelongated Pentagonal Pyramid is denoted by V symbol.

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

FAQs on Volume of Gyroelongated Pentagonal Pyramid

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

The formula of Volume of Gyroelongated Pentagonal Pyramid 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)*Edge Length of Gyroelongated Pentagonal Pyramid^3. Here is an example- 1880.192 = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*10^3.

How to calculate Volume of Gyroelongated Pentagonal Pyramid?

With Edge Length of Gyroelongated Pentagonal Pyramid (l_e) we can find Volume of Gyroelongated Pentagonal Pyramid 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)*Edge Length of Gyroelongated Pentagonal Pyramid^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)*(Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)))^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 be negative?

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

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

Volume of Gyroelongated Pentagonal Pyramid 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 can be measured.

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