Edge Length of Rhombohedron given Total Surface Area Calculator

✖Total Surface Area of Rhombohedron is the total quantity of plane enclosed on the entire surface of the Rhombohedron.ⓘ Total Surface Area of Rhombohedron [TSA]			+10% -10%
✖Acute Angle of Rhombohedron is the angle of any of the six rhombus faces of the Rhombohedron, which is less than 90 degrees.ⓘ Acute Angle of Rhombohedron [∠_Acute]			+10% -10%

✖Edge Length of Rhombohedron is the distance between any pair of adjacent vertices of the Rhombohedron.ⓘ Edge Length of Rhombohedron given Total Surface Area [l_e]

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Formula

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Edge Length of Rhombohedron given Total Surface Area

Formula

`"l"_{"e"} = sqrt("TSA"/(6*sin("∠"_{"Acute"})))`

Example

`"10.00406m"=sqrt("460m²"/(6*sin("50°")))`

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Edge Length of Rhombohedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Rhombohedron = sqrt(Total Surface Area of Rhombohedron/(6*sin(Acute Angle of Rhombohedron)))
l_e = sqrt(TSA/(6*sin(∠_Acute)))
This formula uses 2 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Edge Length of Rhombohedron - (Measured in Meter) - Edge Length of Rhombohedron is the distance between any pair of adjacent vertices of the Rhombohedron.
Total Surface Area of Rhombohedron - (Measured in Square Meter) - Total Surface Area of Rhombohedron is the total quantity of plane enclosed on the entire surface of the Rhombohedron.
Acute Angle of Rhombohedron - (Measured in Radian) - Acute Angle of Rhombohedron is the angle of any of the six rhombus faces of the Rhombohedron, which is less than 90 degrees.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Rhombohedron: 460 Square Meter --> 460 Square Meter No Conversion Required
Acute Angle of Rhombohedron: 50 Degree --> 0.872664625997001 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(TSA/(6*sin(∠_Acute))) --> sqrt(460/(6*sin(0.872664625997001)))

Evaluating ... ...

l_e = 10.0040604514111

STEP 3: Convert Result to Output's Unit

10.0040604514111 Meter --> No Conversion Required

FINAL ANSWER

10.0040604514111 ≈ 10.00406 Meter <-- Edge Length of Rhombohedron

(Calculation completed in 00.004 seconds)

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< 3 Edge Length of Rhombohedron Calculators

Edge Length of Rhombohedron given Surface to Volume Ratio

Go Edge Length of Rhombohedron = (6*sin(Acute Angle of Rhombohedron))/(Surface to Volume Ratio of Rhombohedron*(1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron)))

Edge Length of Rhombohedron given Volume

Go Edge Length of Rhombohedron = (Volume of Rhombohedron/((1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron))))^(1/3)

Edge Length of Rhombohedron given Total Surface Area

Go Edge Length of Rhombohedron = sqrt(Total Surface Area of Rhombohedron/(6*sin(Acute Angle of Rhombohedron)))

Edge Length of Rhombohedron given Total Surface Area Formula

Edge Length of Rhombohedron = sqrt(Total Surface Area of Rhombohedron/(6*sin(Acute Angle of Rhombohedron)))
l_e = sqrt(TSA/(6*sin(∠_Acute)))

What is a Rhombohedron?

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 Total Surface Area?

Edge Length of Rhombohedron given Total Surface Area calculator uses Edge Length of Rhombohedron = sqrt(Total Surface Area of Rhombohedron/(6*sin(Acute Angle of Rhombohedron))) to calculate the Edge Length of Rhombohedron, Edge Length of Rhombohedron given Total Surface Area formula is defined as the distance between any pair of adjacent vertices of the Rhombohedron, calculated using its total surface area. Edge Length of Rhombohedron is denoted by l_e symbol.

How to calculate Edge Length of Rhombohedron given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Rhombohedron given Total Surface Area, enter Total Surface Area of Rhombohedron (TSA) & Acute Angle of Rhombohedron (∠_Acute) and hit the calculate button. Here is how the Edge Length of Rhombohedron given Total Surface Area calculation can be explained with given input values -> 10.00406 = sqrt(460/(6*sin(0.872664625997001))).

FAQ

What is Edge Length of Rhombohedron given Total Surface Area?

Edge Length of Rhombohedron given Total Surface Area formula is defined as the distance between any pair of adjacent vertices of the Rhombohedron, calculated using its total surface area and is represented as l_e = sqrt(TSA/(6*sin(∠_Acute))) or Edge Length of Rhombohedron = sqrt(Total Surface Area of Rhombohedron/(6*sin(Acute Angle of Rhombohedron))). Total Surface Area of Rhombohedron is the total quantity of plane enclosed on the entire surface of the Rhombohedron & Acute Angle of Rhombohedron is the angle of any of the six rhombus faces of the Rhombohedron, which is less than 90 degrees.

How to calculate Edge Length of Rhombohedron given Total Surface Area?

Edge Length of Rhombohedron given Total Surface Area formula is defined as the distance between any pair of adjacent vertices of the Rhombohedron, calculated using its total surface area is calculated using Edge Length of Rhombohedron = sqrt(Total Surface Area of Rhombohedron/(6*sin(Acute Angle of Rhombohedron))). To calculate Edge Length of Rhombohedron given Total Surface Area, you need Total Surface Area of Rhombohedron (TSA) & Acute Angle of Rhombohedron (∠_Acute). With our tool, you need to enter the respective value for Total Surface Area of Rhombohedron & Acute Angle of Rhombohedron 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 Edge Length of Rhombohedron?

In this formula, Edge Length of Rhombohedron uses Total Surface Area of Rhombohedron & Acute Angle of Rhombohedron. We can use 2 other way(s) to calculate the same, which is/are as follows -

Edge Length of Rhombohedron = (Volume of Rhombohedron/((1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron))))^(1/3)
Edge Length of Rhombohedron = (6*sin(Acute Angle of Rhombohedron))/(Surface to Volume Ratio of Rhombohedron*(1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron)))

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