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Edge length of Rhombohedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = sqrt(Surface Area/(6*sin(Angle A)))
S = sqrt(SA/(6*sin(∠A)))
This formula uses 2 Functions, 2 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface Area - The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides. (Measured in Square 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
Surface Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = sqrt(SA/(6*sin(∠A))) --> sqrt(50/(6*sin(0.5235987755982)))
Evaluating ... ...
S = 4.08248290463863
STEP 3: Convert Result to Output's Unit
4.08248290463863 Meter --> No Conversion Required
FINAL ANSWER
4.08248290463863 Meter <-- Side
(Calculation completed in 00.015 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 area Formula

side = sqrt(Surface Area/(6*sin(Angle A)))
S = sqrt(SA/(6*sin(∠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 area?

Edge length of Rhombohedron given surface area calculator uses side = sqrt(Surface Area/(6*sin(Angle A))) to calculate the Side, The Edge length of Rhombohedron given surface area 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 area using this online calculator? To use this online calculator for Edge length of Rhombohedron given surface area, enter Surface Area (SA) & Angle A (∠A) and hit the calculate button. Here is how the Edge length of Rhombohedron given surface area calculation can be explained with given input values -> 4.082483 = sqrt(50/(6*sin(0.5235987755982))).

FAQ

What is Edge length of Rhombohedron given surface area?
The Edge length of Rhombohedron given surface area formula is defined as a straight line joining two adjacent vertices of rhombohedron. Where, a = rhombohedron edge and is represented as S = sqrt(SA/(6*sin(∠A))) or side = sqrt(Surface Area/(6*sin(Angle A))). The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides & 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 surface area?
The Edge length of Rhombohedron given surface area formula is defined as a straight line joining two adjacent vertices of rhombohedron. Where, a = rhombohedron edge is calculated using side = sqrt(Surface Area/(6*sin(Angle A))). To calculate Edge length of Rhombohedron given surface area, you need Surface Area (SA) & Angle A (∠A). With our tool, you need to enter the respective value for Surface Area & 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 Surface Area & 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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