Surface to Volume Ratio of Rhombohedron given Obtuse Angle Calculator

✖Obtuse Angle of Rhombohedron is the angle of any of the six rhombus faces of the Rhombohedron, which is greater than 90 degrees.ⓘ Obtuse Angle of Rhombohedron [∠_Obtuse]			+10% -10%
✖Edge Length of Rhombohedron is the distance between any pair of adjacent vertices of the Rhombohedron.ⓘ Edge Length of Rhombohedron [l_e]			+10% -10%

✖Surface to Volume Ratio of Rhombohedron is the numerical ratio of the total surface area of a Rhombohedron to the volume of the Rhombohedron.ⓘ Surface to Volume Ratio of Rhombohedron given Obtuse Angle [R_A/V]

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Surface to Volume Ratio of Rhombohedron given Obtuse Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Rhombohedron = (6*sin(pi-Obtuse Angle of Rhombohedron))/(Edge Length of Rhombohedron*(1-cos(pi-Obtuse Angle of Rhombohedron))*sqrt(1+2*cos(pi-Obtuse Angle of Rhombohedron)))
R_A/V = (6*sin(pi-∠_Obtuse))/(l_e*(1-cos(pi-∠_Obtuse))*sqrt(1+2*cos(pi-∠_Obtuse)))
This formula uses 1 Constants, 3 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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

Surface to Volume Ratio of Rhombohedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Rhombohedron is the numerical ratio of the total surface area of a Rhombohedron to the volume of the Rhombohedron.
Obtuse Angle of Rhombohedron - (Measured in Radian) - Obtuse Angle of Rhombohedron is the angle of any of the six rhombus faces of the Rhombohedron, which is greater than 90 degrees.
Edge Length of Rhombohedron - (Measured in Meter) - Edge Length of Rhombohedron is the distance between any pair of adjacent vertices of the Rhombohedron.

STEP 1: Convert Input(s) to Base Unit

Obtuse Angle of Rhombohedron: 130 Degree --> 2.2689280275922 Radian (Check conversion here)
Edge Length of Rhombohedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (6*sin(pi-∠_Obtuse))/(l_e*(1-cos(pi-∠_Obtuse))*sqrt(1+2*cos(pi-∠_Obtuse))) --> (6*sin(pi-2.2689280275922))/(10*(1-cos(pi-2.2689280275922))*sqrt(1+2*cos(pi-2.2689280275922)))

Evaluating ... ...

R_A/V = 0.851100691003938

STEP 3: Convert Result to Output's Unit

0.851100691003938 1 per Meter --> No Conversion Required

FINAL ANSWER

0.851100691003938 ≈ 0.851101 1 per Meter <-- Surface to Volume Ratio of Rhombohedron

(Calculation completed in 00.020 seconds)

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< Surface to Volume Ratio of Rhombohedron Calculators

Surface to Volume Ratio of Rhombohedron given Volume

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

Surface to Volume Ratio of Rhombohedron given Total Surface Area

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

Surface to Volume Ratio of Rhombohedron given Obtuse Angle

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

Surface to Volume Ratio of Rhombohedron

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

Surface to Volume Ratio of Rhombohedron given Obtuse Angle Formula

LaTeX Go

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 Surface to Volume Ratio of Rhombohedron given Obtuse Angle?

Surface to Volume Ratio of Rhombohedron given Obtuse Angle calculator uses Surface to Volume Ratio of Rhombohedron = (6*sin(pi-Obtuse Angle of Rhombohedron))/(Edge Length of Rhombohedron*(1-cos(pi-Obtuse Angle of Rhombohedron))*sqrt(1+2*cos(pi-Obtuse Angle of Rhombohedron))) to calculate the Surface to Volume Ratio of Rhombohedron, Surface to Volume Ratio of Rhombohedron given Obtuse Angle formula is defined as the numerical ratio of the total surface area of a Rhombohedron to the volume of the Rhombohedron, calculated using its obtuse angle. Surface to Volume Ratio of Rhombohedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Rhombohedron given Obtuse Angle using this online calculator? To use this online calculator for Surface to Volume Ratio of Rhombohedron given Obtuse Angle, enter Obtuse Angle of Rhombohedron (∠_Obtuse) & Edge Length of Rhombohedron (l_e) and hit the calculate button. Here is how the Surface to Volume Ratio of Rhombohedron given Obtuse Angle calculation can be explained with given input values -> 0.851101 = (6*sin(pi-2.2689280275922))/(10*(1-cos(pi-2.2689280275922))*sqrt(1+2*cos(pi-2.2689280275922))).

FAQ

What is Surface to Volume Ratio of Rhombohedron given Obtuse Angle?

Surface to Volume Ratio of Rhombohedron given Obtuse Angle formula is defined as the numerical ratio of the total surface area of a Rhombohedron to the volume of the Rhombohedron, calculated using its obtuse angle and is represented as R_A/V = (6*sin(pi-∠_Obtuse))/(l_e*(1-cos(pi-∠_Obtuse))*sqrt(1+2*cos(pi-∠_Obtuse))) or Surface to Volume Ratio of Rhombohedron = (6*sin(pi-Obtuse Angle of Rhombohedron))/(Edge Length of Rhombohedron*(1-cos(pi-Obtuse Angle of Rhombohedron))*sqrt(1+2*cos(pi-Obtuse Angle of Rhombohedron))). Obtuse Angle of Rhombohedron is the angle of any of the six rhombus faces of the Rhombohedron, which is greater than 90 degrees & Edge Length of Rhombohedron is the distance between any pair of adjacent vertices of the Rhombohedron.

How to calculate Surface to Volume Ratio of Rhombohedron given Obtuse Angle?

Surface to Volume Ratio of Rhombohedron given Obtuse Angle formula is defined as the numerical ratio of the total surface area of a Rhombohedron to the volume of the Rhombohedron, calculated using its obtuse angle is calculated using Surface to Volume Ratio of Rhombohedron = (6*sin(pi-Obtuse Angle of Rhombohedron))/(Edge Length of Rhombohedron*(1-cos(pi-Obtuse Angle of Rhombohedron))*sqrt(1+2*cos(pi-Obtuse Angle of Rhombohedron))). To calculate Surface to Volume Ratio of Rhombohedron given Obtuse Angle, you need Obtuse Angle of Rhombohedron (∠_Obtuse) & Edge Length of Rhombohedron (l_e). With our tool, you need to enter the respective value for Obtuse Angle of Rhombohedron & Edge Length 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 Surface to Volume Ratio of Rhombohedron?

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

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

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