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Volume of Elongated Pentagonal Pyramid given Surface to Volume Ratio 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{\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}

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

Volume of Elongated Pentagonal Pyramid given Surface to Volume Ratio Example

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

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

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

2681.1297 = (\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 0.4})}^{3}

2681.1297m³ = (\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 0.4m⁻¹})}^{3}

2681.1297 = (\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 0.4})}^{3}

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

Volume of Elongated Pentagonal Pyramid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

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 0.4m⁻¹})}^{3}

Next Step Prepare to Evaluate

∴

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 0.4})}^{3}

Next Step Evaluate

∴

V = 2681.12972207828m³

LAST Step Rounding Answer

∴

V = 2681.1297m³

Volume of Elongated Pentagonal Pyramid given Surface to Volume Ratio 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

SA:V of Elongated Pentagonal Pyramid

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

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 Height

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}

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}

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

Volume of Elongated Pentagonal Pyramid given Surface to Volume Ratio evaluator uses 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 to evaluate the Volume of Elongated Pentagonal Pyramid, The Volume of Elongated Pentagonal Pyramid given Surface to Volume Ratio 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 surface to volume ratio of the Elongated Pentagonal Pyramid. Volume of Elongated Pentagonal Pyramid is denoted by V symbol.

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

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

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

The formula of Volume of Elongated Pentagonal Pyramid given Surface to Volume Ratio is expressed as 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. Here is an example- 2681.13 = ((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)*0.4))^3.

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

With SA:V of Elongated Pentagonal Pyramid (AV) we can find Volume of Elongated Pentagonal Pyramid given Surface to Volume Ratio using the formula - 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. 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)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^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

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

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

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

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

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