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Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area Formula

GoVolume of Gyroelongated Pentagonal Pyramid Formula

GoVolume of Gyroelongated Pentagonal Pyramid given Height 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 {(\sqrt{\frac{SA Total}{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}})}^{3}

V - Volume of Gyroelongated Pentagonal Pyramid?SA_Total - TSA of Gyroelongated Pentagonal Pyramid?

Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area Example

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

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

Here is how the Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area equation looks like.

1874.8162 = (\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{820}{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}})}^{3}

1874.8162m³ = (\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{820m²}{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}})}^{3}

1874.8162 = (\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{820}{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}})}^{3}

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Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area Solution

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

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 {(\sqrt{\frac{SA Total}{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}})}^{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 {(\sqrt{\frac{820m²}{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}})}^{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 {(\sqrt{\frac{820}{\frac{(15 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})}}{4}}})}^{3}

Next Step Evaluate

∴

V = 1874.81621047592m³

LAST Step Rounding Answer

∴

V = 1874.8162m³

Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area 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

TSA of Gyroelongated Pentagonal Pyramid

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

Symbol: SA_Total

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find TSA 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 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 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 Total Surface Area?

Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area 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)*(sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3 to evaluate the Volume of Gyroelongated Pentagonal Pyramid, The Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area 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 total surface area of the Gyroelongated Pentagonal Pyramid. Volume of Gyroelongated Pentagonal Pyramid is denoted by V symbol.

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

FAQs on Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area

What is the formula to find Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area?

The formula of Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area 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)*(sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3. Here is an example- 1874.816 = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(sqrt(820/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3.

How to calculate Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area?

With TSA of Gyroelongated Pentagonal Pyramid (SA_Total) we can find Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area 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)*(sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^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)*(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)*((((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 Total Surface Area be negative?

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

Which unit is used to measure Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area?

Volume of Gyroelongated Pentagonal Pyramid 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 Gyroelongated Pentagonal Pyramid given Total Surface Area can be measured.

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