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Edge length of Rhombohedron given surface to volume ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = (6*sin(Angle A))/(Surface to Volume Ratio*(1-cos(Angle A))*sqrt(1+2*cos(Angle A)))
S = (6*sin(∠A))/(RAV*(1-cos(∠A))*sqrt(1+2*cos(∠A)))
This formula uses 3 Functions, 2 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
cos - Trigonometric cosine function, cos(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Angle A - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
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
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Surface to Volume Ratio: 0.5 Hundred --> 0.5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (6*sin(∠A))/(RAV*(1-cos(∠A))*sqrt(1+2*cos(∠A))) --> (6*sin(0.5235987755982))/(0.5*(1-cos(0.5235987755982))*sqrt(1+2*cos(0.5235987755982)))
Evaluating ... ...
S = 27.0947038078455
STEP 3: Convert Result to Output's Unit
27.0947038078455 Meter --> No Conversion Required
FINAL ANSWER
27.0947038078455 Meter <-- Side
(Calculation completed in 00.016 seconds)

3 Edge length of Rhombohedron Calculators

Edge length of Rhombohedron given surface to volume ratio
side = (6*sin(Angle A))/(Surface to Volume Ratio*(1-cos(Angle A))*sqrt(1+2*cos(Angle A))) Go
Edge length of Rhombohedron given volume
side = (Volume/((1-cos(Angle A))*sqrt(1+2*cos(Angle A))))^(1/3) Go
Edge length of Rhombohedron given surface area
side = sqrt(Surface Area/(6*sin(Angle A))) Go

Edge length of Rhombohedron given surface to volume ratio Formula

side = (6*sin(Angle A))/(Surface to Volume Ratio*(1-cos(Angle A))*sqrt(1+2*cos(Angle A)))
S = (6*sin(∠A))/(RAV*(1-cos(∠A))*sqrt(1+2*cos(∠A)))

What is a rhombohedron?

In geometry, a rhombohedron (also called a rhombic hexahedron) is a three-dimensional figure like a cuboid (also called a rectangular parallelepiped), except that its faces are not rectangles but rhombi. It is a special case of a parallelepiped where all edges are the same length. It can be used to define the rhombohedral lattice system, a honeycomb with rhombohedral cells. In general a rhombohedron can have up to three types of rhombic faces in congruent opposite pairs, Ci symmetry, order 2.

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

Edge length of Rhombohedron given surface to volume ratio calculator uses side = (6*sin(Angle A))/(Surface to Volume Ratio*(1-cos(Angle A))*sqrt(1+2*cos(Angle A))) to calculate the Side, The Edge length of Rhombohedron given surface to volume ratio formula is defined as a straight line joining two adjacent vertices of rhombohedron. Where, a = rhombohedron edge. Side and is denoted by S symbol.

How to calculate Edge length of Rhombohedron given surface to volume ratio using this online calculator? To use this online calculator for Edge length of Rhombohedron given surface to volume ratio, enter Angle A (∠A) & Surface to Volume Ratio (RAV) and hit the calculate button. Here is how the Edge length of Rhombohedron given surface to volume ratio calculation can be explained with given input values -> 27.0947 = (6*sin(0.5235987755982))/(0.5*(1-cos(0.5235987755982))*sqrt(1+2*cos(0.5235987755982))).

FAQ

What is Edge length of Rhombohedron given surface to volume ratio?
The Edge length of Rhombohedron given surface to volume ratio formula is defined as a straight line joining two adjacent vertices of rhombohedron. Where, a = rhombohedron edge and is represented as S = (6*sin(∠A))/(RAV*(1-cos(∠A))*sqrt(1+2*cos(∠A))) or side = (6*sin(Angle A))/(Surface to Volume Ratio*(1-cos(Angle A))*sqrt(1+2*cos(Angle A))). The angle A the space between two intersecting lines or surfaces at or close to the point where they meet & Surface to Volume Ratio is fraction of surface to volume.
How to calculate Edge length of Rhombohedron given surface to volume ratio?
The Edge length of Rhombohedron given surface to volume ratio formula is defined as a straight line joining two adjacent vertices of rhombohedron. Where, a = rhombohedron edge is calculated using side = (6*sin(Angle A))/(Surface to Volume Ratio*(1-cos(Angle A))*sqrt(1+2*cos(Angle A))). To calculate Edge length of Rhombohedron given surface to volume ratio, you need Angle A (∠A) & Surface to Volume Ratio (RAV). With our tool, you need to enter the respective value for Angle A & 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?
In this formula, Side uses Angle A & Surface to Volume Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • side = sqrt(Surface Area/(6*sin(Angle A)))
  • side = (Volume/((1-cos(Angle A))*sqrt(1+2*cos(Angle A))))^(1/3)
  • side = (6*sin(Angle A))/(Surface to Volume Ratio*(1-cos(Angle A))*sqrt(1+2*cos(Angle A)))
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