FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Surface to Volume Ratio of Elongated Pentagonal Pyramid Formula

GoSurface to Volume Ratio of Elongated Pentagonal Pyramid given Height Formula

GoSurface to Volume Ratio of Elongated Pentagonal Pyramid given Total Surface Area Formula

Fx Copy

LaTeX Copy

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. Check FAQs

AV = \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 l e}

AV - SA:V of Elongated Pentagonal Pyramid?l_e - Edge Length of Elongated Pentagonal Pyramid?

Surface to Volume Ratio of Elongated Pentagonal Pyramid Example

With values

With units

Only example

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

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

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

0.4394 = \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 10}

0.4394m⁻¹ = \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 10m}

0.4394 = \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 10}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

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

Surface to Volume Ratio of Elongated Pentagonal Pyramid Solution

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

FIRST Step Consider the formula

AV = \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 l e}

Next Step Substitute values of Variables

∴

AV = \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 10m}

Next Step Prepare to Evaluate

∴

AV = \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 10}

Next Step Evaluate

∴

AV = 0.439447466651713m⁻¹

LAST Step Rounding Answer

∴

AV = 0.4394m⁻¹

Surface to Volume Ratio of Elongated Pentagonal Pyramid Formula Elements

Variables

Functions

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

Edge Length of Elongated Pentagonal Pyramid

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 SA:V of Elongated Pentagonal Pyramid

Go Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height

AV = \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 \frac{h}{\sqrt{\frac{5 - \sqrt{5}}{10}} + 1}}

Go Surface to Volume Ratio of Elongated Pentagonal Pyramid given Total Surface Area

AV = \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 \sqrt{\frac{TSA}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4} + \frac{5 \cdot \sqrt{3}}{4} + 5}}}

Go Surface to Volume Ratio of Elongated Pentagonal Pyramid given Volume

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

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

Surface to Volume Ratio of Elongated Pentagonal Pyramid evaluator uses SA:V of Elongated Pentagonal Pyramid = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*Edge Length of Elongated Pentagonal Pyramid) to evaluate the SA:V of Elongated Pentagonal Pyramid, The Surface to Volume Ratio of Elongated Pentagonal Pyramid formula is defined as the numerical ratio of the total surface area of the Elongated Pentagonal Pyramid to the volume of the Elongated Pentagonal Pyramid. SA:V of Elongated Pentagonal Pyramid is denoted by AV symbol.

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

FAQs on Surface to Volume Ratio of Elongated Pentagonal Pyramid

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

The formula of Surface to Volume Ratio of Elongated Pentagonal Pyramid is expressed as SA:V of Elongated Pentagonal Pyramid = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*Edge Length of Elongated Pentagonal Pyramid). Here is an example- 0.439447 = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*10).

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

With Edge Length of Elongated Pentagonal Pyramid (l_e) we can find Surface to Volume Ratio of Elongated Pentagonal Pyramid using the formula - SA:V of Elongated Pentagonal Pyramid = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*Edge Length of Elongated Pentagonal Pyramid). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate SA:V of Elongated Pentagonal Pyramid?

Here are the different ways to Calculate SA:V of Elongated Pentagonal Pyramid-

SA:V of Elongated Pentagonal Pyramid=((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))
SA:V of Elongated Pentagonal Pyramid=((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((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)))
SA:V of Elongated Pentagonal Pyramid=((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3))

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

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

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

Surface to Volume Ratio of Elongated Pentagonal Pyramid is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Elongated Pentagonal Pyramid can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit