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Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*Surface to Volume Ratio)
Sa = ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*RAV)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface to Volume Ratio - Surface to Volume Ratio is fraction of surface to volume. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio: 0.5 Hundred --> 0.5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*RAV) --> ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*0.5)
Evaluating ... ...
Sa = 4.17699139738754
STEP 3: Convert Result to Output's Unit
4.17699139738754 Meter --> No Conversion Required
FINAL ANSWER
4.17699139738754 Meter <-- Side A
(Calculation completed in 00.016 seconds)

7 Edge length of rhombohedron of Truncated Rhombohedron Calculators

Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio
side_a = ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*Surface to Volume Ratio) Go
Edge length of rhombohedron of Truncated Rhombohedron given surface area
side_a = sqrt((2*Surface Area Polyhedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))) Go
Edge length of rhombohedron of Truncated Rhombohedron given area of pentagon
side_a = sqrt((4*Area 5)/(sqrt(5+(2*sqrt(5))))) Go
Edge length of rhombohedron of Truncated Rhombohedron given volume
side_a = ((3*Volume)/(5*(sqrt(sqrt(5)-2))))^(1/3) Go
Edge length of rhombohedron of Truncated Rhombohedron given circumradius
side_a = (4*Radius)/(sqrt(14-(2*sqrt(5)))) Go
Edge length of rhombohedron of Truncated Rhombohedron given edge length of triangle
side_b = Side C/(sqrt(5-(2*sqrt(5)))) Go
Edge length of rhombohedron of Truncated Rhombohedron given edge length
side_a = (2*Side B)/(3-sqrt(5)) Go

Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio Formula

side_a = ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*Surface to Volume Ratio)
Sa = ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*RAV)

What is Truncated Rhombohedron?

The truncated rhombohedron is a convex , octahedral polyhedron. It is made up of six equal, irregular, but axially symmetrical pentagons and two equilateral triangles . It has twelve corners; three faces meet at each corner (a triangle and two pentagons or three pentagons). All corner points lie on the same sphere . Opposite faces are parallel . In the stitch, the body stands on a triangular surface , the pentagons virtually form the surface . The number of edges is eighteen.

How to Calculate Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio?

Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio calculator uses side_a = ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*Surface to Volume Ratio) to calculate the Side A, Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio formula is defined as measurement of straight line connecting two adjacent vertices of rhombohedron of Truncated Rhombohedron. Side A and is denoted by Sa symbol.

How to calculate Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio using this online calculator? To use this online calculator for Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio, enter Surface to Volume Ratio (RAV) and hit the calculate button. Here is how the Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio calculation can be explained with given input values -> 4.176991 = ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*0.5).

FAQ

What is Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio?
Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio formula is defined as measurement of straight line connecting two adjacent vertices of rhombohedron of Truncated Rhombohedron and is represented as Sa = ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*RAV) or side_a = ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*Surface to Volume Ratio). Surface to Volume Ratio is fraction of surface to volume.
How to calculate Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio?
Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio formula is defined as measurement of straight line connecting two adjacent vertices of rhombohedron of Truncated Rhombohedron is calculated using side_a = ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*Surface to Volume Ratio). To calculate Edge length of rhombohedron of Truncated Rhombohedron given surface to volume ratio, you need Surface to Volume Ratio (RAV). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Side A?
In this formula, Side A uses Surface to Volume Ratio. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • side_a = (2*Side B)/(3-sqrt(5))
  • side_b = Side C/(sqrt(5-(2*sqrt(5))))
  • side_a = (4*Radius)/(sqrt(14-(2*sqrt(5))))
  • side_a = sqrt((2*Surface Area Polyhedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))
  • side_a = sqrt((4*Area 5)/(sqrt(5+(2*sqrt(5)))))
  • side_a = ((3*Volume)/(5*(sqrt(sqrt(5)-2))))^(1/3)
  • side_a = ((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5*(sqrt(sqrt(5)-2)))*Surface to Volume Ratio)
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