Edge Length of Sphenocorona given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Sphenocorona = (2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona)
le = (2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*RA/V)
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 Sphenocorona - (Measured in Meter) - Edge Length of Sphenocorona is the length of any edge of a Sphenocorona.
Surface to Volume Ratio of Sphenocorona - (Measured in 1 per Meter) - Surface to Volume Ratio of Sphenocorona is the numerical ratio of the total surface area of a Sphenocorona to the volume of the Sphenocorona.
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio of Sphenocorona: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = (2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*RA/V) --> (2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*0.5)
Evaluating ... ...
le = 9.49766672350541
STEP 3: Convert Result to Output's Unit
9.49766672350541 Meter --> No Conversion Required
FINAL ANSWER
9.49766672350541 9.497667 Meter <-- Edge Length of Sphenocorona
(Calculation completed in 00.004 seconds)

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3 Edge Length of Sphenocorona Calculators

Edge Length of Sphenocorona given Surface to Volume Ratio
Go Edge Length of Sphenocorona = (2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona)
Edge Length of Sphenocorona given Volume
Go Edge Length of Sphenocorona = (Volume of Sphenocorona/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))))^(1/3)
Edge Length of Sphenocorona given Total Surface Area
Go Edge Length of Sphenocorona = sqrt(Total Surface Area of Sphenocorona/(2+(3*sqrt(3))))

Edge Length of Sphenocorona given Surface to Volume Ratio Formula

Edge Length of Sphenocorona = (2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona)
le = (2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*RA/V)

What is a Sphenocorona?

A Sphenocorona is a closed polyhedron, which is the Johnson solid generally denoted by J86. It consists of 14 faces which include 12 (2+2+4+4) equilateral triangles and 2 squares. Also, It has 22 edges and 10 vertices.

How to Calculate Edge Length of Sphenocorona given Surface to Volume Ratio?

Edge Length of Sphenocorona given Surface to Volume Ratio calculator uses Edge Length of Sphenocorona = (2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona) to calculate the Edge Length of Sphenocorona, The Edge Length of Sphenocorona given Surface to Volume Ratio formula is defined as the length of any edge of the Sphenocorona and is calculated using the surface to volume ratio of the Sphenocorona. Edge Length of Sphenocorona is denoted by le symbol.

How to calculate Edge Length of Sphenocorona given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Sphenocorona given Surface to Volume Ratio, enter Surface to Volume Ratio of Sphenocorona (RA/V) and hit the calculate button. Here is how the Edge Length of Sphenocorona given Surface to Volume Ratio calculation can be explained with given input values -> 9.497667 = (2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*0.5).

FAQ

What is Edge Length of Sphenocorona given Surface to Volume Ratio?
The Edge Length of Sphenocorona given Surface to Volume Ratio formula is defined as the length of any edge of the Sphenocorona and is calculated using the surface to volume ratio of the Sphenocorona and is represented as le = (2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*RA/V) or Edge Length of Sphenocorona = (2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona). Surface to Volume Ratio of Sphenocorona is the numerical ratio of the total surface area of a Sphenocorona to the volume of the Sphenocorona.
How to calculate Edge Length of Sphenocorona given Surface to Volume Ratio?
The Edge Length of Sphenocorona given Surface to Volume Ratio formula is defined as the length of any edge of the Sphenocorona and is calculated using the surface to volume ratio of the Sphenocorona is calculated using Edge Length of Sphenocorona = (2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona). To calculate Edge Length of Sphenocorona given Surface to Volume Ratio, you need Surface to Volume Ratio of Sphenocorona (RA/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Sphenocorona 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 Sphenocorona?
In this formula, Edge Length of Sphenocorona uses Surface to Volume Ratio of Sphenocorona. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Sphenocorona = sqrt(Total Surface Area of Sphenocorona/(2+(3*sqrt(3))))
  • Edge Length of Sphenocorona = (Volume of Sphenocorona/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))))^(1/3)
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