Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio Calculator

✖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.ⓘ SA:V of Gyroelongated Pentagonal Pyramid [AV]

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✖Edge Length of Gyroelongated Pentagonal Pyramid is the length of any edge of the Gyroelongated Pentagonal Pyramid.ⓘ Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio [l_e]

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Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Gyroelongated Pentagonal Pyramid = (((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)
l_e = (((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)*AV)
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Edge Length of Gyroelongated Pentagonal Pyramid - (Measured in Meter) - Edge Length of Gyroelongated Pentagonal Pyramid is the length of any edge of the Gyroelongated Pentagonal Pyramid.
SA:V of Gyroelongated Pentagonal Pyramid - (Measured in 1 per Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

SA:V of Gyroelongated Pentagonal Pyramid: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (((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)*AV) --> (((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)

Evaluating ... ...

l_e = 10.9239737717958

STEP 3: Convert Result to Output's Unit

10.9239737717958 Meter --> No Conversion Required

FINAL ANSWER

10.9239737717958 ≈ 10.92397 Meter <-- Edge Length of Gyroelongated Pentagonal Pyramid

(Calculation completed in 00.006 seconds)

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< Edge Length of Gyroelongated Pentagonal Pyramid Calculators

Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio

LaTeX Go Edge Length of Gyroelongated Pentagonal Pyramid = (((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)

Edge Length of Gyroelongated Pentagonal Pyramid given Volume

LaTeX Go Edge Length 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))^(1/3)

Edge Length of Gyroelongated Pentagonal Pyramid given Height

LaTeX Go Edge Length of Gyroelongated Pentagonal Pyramid = Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10))

Edge Length of Gyroelongated Pentagonal Pyramid given Total Surface Area

LaTeX Go Edge Length of Gyroelongated Pentagonal Pyramid = sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4))

Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio Formula

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What is a Gyroelongated Pentagonal Pyramid?

The Gyroelongated Pentagonal Pyramid is a regular johnson pentagonal pyramid with a matching antiprism attached to the base, which is the Johnson solid generally denoted by J11. It consists of 16 faces which include 15 equilateral triangles as side surfaces, and a regular pentagon as the base surface. Also, It has 25 edges and 11 vertices.

How to Calculate Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio?

Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio calculator uses Edge Length of Gyroelongated Pentagonal Pyramid = (((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) to calculate the Edge Length of Gyroelongated Pentagonal Pyramid, The Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Gyroelongated Pentagonal Pyramid and is calculated using the surface to volume ratio of the Gyroelongated Pentagonal Pyramid. Edge Length of Gyroelongated Pentagonal Pyramid is denoted by l_e symbol.

How to calculate Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio, enter SA:V of Gyroelongated Pentagonal Pyramid (AV) and hit the calculate button. Here is how the Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio calculation can be explained with given input values -> 10.92397 = (((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).

FAQ

What is Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio?

The Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Gyroelongated Pentagonal Pyramid and is calculated using the surface to volume ratio of the Gyroelongated Pentagonal Pyramid and is represented as l_e = (((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)*AV) or Edge Length of Gyroelongated Pentagonal Pyramid = (((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). 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.

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

The Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Gyroelongated Pentagonal Pyramid and is calculated using the surface to volume ratio of the Gyroelongated Pentagonal Pyramid is calculated using Edge Length of Gyroelongated Pentagonal Pyramid = (((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). To calculate Edge Length of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio, you need SA:V of Gyroelongated Pentagonal Pyramid (AV). With our tool, you need to enter the respective value for SA:V of Gyroelongated Pentagonal Pyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Edge Length of Gyroelongated Pentagonal Pyramid?

In this formula, Edge Length of Gyroelongated Pentagonal Pyramid uses SA:V of Gyroelongated Pentagonal Pyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Gyroelongated Pentagonal Pyramid = Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10))
Edge Length of Gyroelongated Pentagonal Pyramid = sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4))
Edge Length 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))^(1/3)

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