Total Surface Area of Rhombohedron Calculator

✖Edge Length of Rhombohedron is the distance between any pair of adjacent vertices of the Rhombohedron.ⓘ Edge Length of Rhombohedron [l_e]			+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%

✖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]

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Formula

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Total Surface Area of Rhombohedron

Formula

`"TSA" = 6*"l"_{"e"}^2*sin("∠"_{"Acute"})`

Example

`"459.6267m²"=6*("10m")^2*sin("50°")`

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Total Surface Area of Rhombohedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Rhombohedron = 6*Edge Length of Rhombohedron^2*sin(Acute Angle of Rhombohedron)
TSA = 6*l_e^2*sin(∠_Acute)
This formula uses 1 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)

Variables Used

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.
Edge Length of Rhombohedron - (Measured in Meter) - Edge Length of Rhombohedron is the distance between any pair of adjacent vertices 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

Edge Length of Rhombohedron: 10 Meter --> 10 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

TSA = 6*l_e^2*sin(∠_Acute) --> 6*10^2*sin(0.872664625997001)

Evaluating ... ...

TSA = 459.626665871324

STEP 3: Convert Result to Output's Unit

459.626665871324 Square Meter --> No Conversion Required

FINAL ANSWER

459.626665871324 ≈ 459.6267 Square Meter <-- Total Surface Area of Rhombohedron

(Calculation completed in 00.004 seconds)

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< 4 Surface Area of Rhombohedron Calculators

Total Surface Area of Rhombohedron given Surface to Volume Ratio

Go Total Surface Area of Rhombohedron = 6*((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))))^2*sin(Acute Angle of Rhombohedron)

Total Surface Area of Rhombohedron given Volume

Go Total Surface Area of Rhombohedron = 6*(Volume of Rhombohedron/((1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron))))^(2/3)*sin(Acute Angle of Rhombohedron)

Total Surface Area of Rhombohedron given Obtuse Angle

Go Total Surface Area of Rhombohedron = 6*Edge Length of Rhombohedron^2*sin(pi-Obtuse Angle of Rhombohedron)

Total Surface Area of Rhombohedron

Go Total Surface Area of Rhombohedron = 6*Edge Length of Rhombohedron^2*sin(Acute Angle of Rhombohedron)

Total Surface Area of Rhombohedron Formula

Total Surface Area of Rhombohedron = 6*Edge Length of Rhombohedron^2*sin(Acute Angle of Rhombohedron)
TSA = 6*l_e^2*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 Total Surface Area of Rhombohedron?

Total Surface Area of Rhombohedron calculator uses Total Surface Area of Rhombohedron = 6*Edge Length of Rhombohedron^2*sin(Acute Angle of Rhombohedron) to calculate the Total Surface Area of Rhombohedron, Total Surface Area of Rhombohedron formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombohedron. Total Surface Area of Rhombohedron is denoted by TSA symbol.

How to calculate Total Surface Area of Rhombohedron using this online calculator? To use this online calculator for Total Surface Area of Rhombohedron, enter Edge Length of Rhombohedron (l_e) & Acute Angle of Rhombohedron (∠_Acute) and hit the calculate button. Here is how the Total Surface Area of Rhombohedron calculation can be explained with given input values -> 459.6267 = 6*10^2*sin(0.872664625997001).

FAQ

What is Total Surface Area of Rhombohedron?

Total Surface Area of Rhombohedron formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombohedron and is represented as TSA = 6*l_e^2*sin(∠_Acute) or Total Surface Area of Rhombohedron = 6*Edge Length of Rhombohedron^2*sin(Acute Angle of Rhombohedron). Edge Length of Rhombohedron is the distance between any pair of adjacent vertices 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 Total Surface Area of Rhombohedron?

Total Surface Area of Rhombohedron formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombohedron is calculated using Total Surface Area of Rhombohedron = 6*Edge Length of Rhombohedron^2*sin(Acute Angle of Rhombohedron). To calculate Total Surface Area of Rhombohedron, you need Edge Length of Rhombohedron (l_e) & Acute Angle of Rhombohedron (∠_Acute). With our tool, you need to enter the respective value for Edge Length 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 Total Surface Area of Rhombohedron?

In this formula, Total Surface Area of Rhombohedron uses Edge Length of Rhombohedron & Acute Angle of Rhombohedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Rhombohedron = 6*Edge Length of Rhombohedron^2*sin(pi-Obtuse Angle of Rhombohedron)
Total Surface Area of Rhombohedron = 6*(Volume of Rhombohedron/((1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron))))^(2/3)*sin(Acute Angle of Rhombohedron)
Total Surface Area of Rhombohedron = 6*((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))))^2*sin(Acute Angle of Rhombohedron)

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