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Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio 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 {(\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}

V - Volume of Gyroelongated Pentagonal Pyramid?AV - SA:V of Gyroelongated Pentagonal Pyramid?

Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio Example

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

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

Here is how the Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio equation looks like.

2451.0049 = (\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 0.4})}^{3}

2451.0049m³ = (\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 0.4m⁻¹})}^{3}

2451.0049 = (\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 0.4})}^{3}

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3D Geometry » fx Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio

Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio Solution

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

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{\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}

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{\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 0.4m⁻¹})}^{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{\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 0.4})}^{3}

Next Step Evaluate

∴

V = 2451.00492119137m³

LAST Step Rounding Answer

∴

V = 2451.0049m³

Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio Formula Elements

Variables

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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

SA:V of Gyroelongated Pentagonal Pyramid

SA:V of Gyroelongated Pentagonal Pyramid is the numerical ratio of the total surface area of the Gyroelongated Pentagonal Pyramid to the volume of the Gyroelongated Pentagonal Pyramid.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 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}

How to Evaluate Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio?

Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio 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)*((((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 to evaluate the Volume of Gyroelongated Pentagonal Pyramid, The Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio 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 surface to volume ratio of the Gyroelongated Pentagonal Pyramid. Volume of Gyroelongated Pentagonal Pyramid is denoted by V symbol.

How to evaluate Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio, enter SA:V of Gyroelongated Pentagonal Pyramid (AV) and hit the calculate button.

FAQs on Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio

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

The formula of Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio 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)*((((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. Here is an example- 2451.005 = ((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)*0.4))^3.

How to calculate Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio?

With SA:V of Gyroelongated Pentagonal Pyramid (AV) we can find Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio 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)*((((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. 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)*(sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3

Can the Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio be negative?

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

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

Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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