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Edge length of Rhombohedron given volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = (Volume/((1-cos(Angle A))*sqrt(1+2*cos(Angle A))))^(1/3)
S = (V/((1-cos(∠A))*sqrt(1+2*cos(∠A))))^(1/3)
This formula uses 2 Functions, 2 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Volume - Volume is the amount of space that a substance or object occupies or that is enclosed within a container. (Measured in Cubic Meter)
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)
STEP 1: Convert Input(s) to Base Unit
Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (V/((1-cos(∠A))*sqrt(1+2*cos(∠A))))^(1/3) --> (63/((1-cos(0.5235987755982))*sqrt(1+2*cos(0.5235987755982))))^(1/3)
Evaluating ... ...
S = 6.57695043492265
STEP 3: Convert Result to Output's Unit
6.57695043492265 Meter --> No Conversion Required
FINAL ANSWER
6.57695043492265 Meter <-- Side
(Calculation completed in 00.000 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 volume Formula

side = (Volume/((1-cos(Angle A))*sqrt(1+2*cos(Angle A))))^(1/3)
S = (V/((1-cos(∠A))*sqrt(1+2*cos(∠A))))^(1/3)

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 volume?

Edge length of Rhombohedron given volume calculator uses side = (Volume/((1-cos(Angle A))*sqrt(1+2*cos(Angle A))))^(1/3) to calculate the Side, The Edge length of Rhombohedron given volume 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 volume using this online calculator? To use this online calculator for Edge length of Rhombohedron given volume, enter Volume (V) & Angle A (∠A) and hit the calculate button. Here is how the Edge length of Rhombohedron given volume calculation can be explained with given input values -> 6.57695 = (63/((1-cos(0.5235987755982))*sqrt(1+2*cos(0.5235987755982))))^(1/3).

FAQ

What is Edge length of Rhombohedron given volume?
The Edge length of Rhombohedron given volume formula is defined as a straight line joining two adjacent vertices of rhombohedron. Where, a = rhombohedron edge and is represented as S = (V/((1-cos(∠A))*sqrt(1+2*cos(∠A))))^(1/3) or side = (Volume/((1-cos(Angle A))*sqrt(1+2*cos(Angle A))))^(1/3). Volume is the amount of space that a substance or object occupies or that is enclosed within a container & The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Edge length of Rhombohedron given volume?
The Edge length of Rhombohedron given volume formula is defined as a straight line joining two adjacent vertices of rhombohedron. Where, a = rhombohedron edge is calculated using side = (Volume/((1-cos(Angle A))*sqrt(1+2*cos(Angle A))))^(1/3). To calculate Edge length of Rhombohedron given volume, you need Volume (V) & Angle A (∠A). With our tool, you need to enter the respective value for Volume & Angle A 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 Volume & Angle A. 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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