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Edge length of rhombohedron of Truncated Rhombohedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = sqrt((2*Surface Area Polyhedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))
Sa = sqrt((2*SAPolyhedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface Area Polyhedron - Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Surface Area Polyhedron: 1000 Square Meter --> 1000 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = sqrt((2*SAPolyhedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))) --> sqrt((2*1000)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))
Evaluating ... ...
Sa = 14.0390892653295
STEP 3: Convert Result to Output's Unit
14.0390892653295 Meter --> No Conversion Required
FINAL ANSWER
14.0390892653295 Meter <-- Side A
(Calculation completed in 00.000 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 area Formula

side_a = sqrt((2*Surface Area Polyhedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))
Sa = sqrt((2*SAPolyhedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))

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 area?

Edge length of rhombohedron of Truncated Rhombohedron given surface area calculator uses side_a = sqrt((2*Surface Area Polyhedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))) to calculate the Side A, Edge length of rhombohedron of Truncated Rhombohedron given surface area 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 area using this online calculator? To use this online calculator for Edge length of rhombohedron of Truncated Rhombohedron given surface area, enter Surface Area Polyhedron (SAPolyhedron) and hit the calculate button. Here is how the Edge length of rhombohedron of Truncated Rhombohedron given surface area calculation can be explained with given input values -> 14.03909 = sqrt((2*1000)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))).

FAQ

What is Edge length of rhombohedron of Truncated Rhombohedron given surface area?
Edge length of rhombohedron of Truncated Rhombohedron given surface area formula is defined as measurement of straight line connecting two adjacent vertices of rhombohedron of Truncated Rhombohedron and is represented as Sa = sqrt((2*SAPolyhedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))) or side_a = sqrt((2*Surface Area Polyhedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))). Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron.
How to calculate Edge length of rhombohedron of Truncated Rhombohedron given surface area?
Edge length of rhombohedron of Truncated Rhombohedron given surface area formula is defined as measurement of straight line connecting two adjacent vertices of rhombohedron of Truncated Rhombohedron is calculated using side_a = sqrt((2*Surface Area Polyhedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))). To calculate Edge length of rhombohedron of Truncated Rhombohedron given surface area, you need Surface Area Polyhedron (SAPolyhedron). With our tool, you need to enter the respective value for Surface Area Polyhedron 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 Area Polyhedron. 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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