Surface to Volume Ratio of Rhombohedron given Volume Calculator

✖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%
✖Volume of Rhombohedron is the total quantity of three dimensional space enclosed by the surface of the Rhombohedron.ⓘ Volume of Rhombohedron [V]			+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 Volume [R_A/V]

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Surface to Volume Ratio of Rhombohedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
R_A/V = (6*sin(∠_Acute))/((V/((1-cos(∠_Acute))*sqrt(1+2*cos(∠_Acute))))^(1/3)*(1-cos(∠_Acute))*sqrt(1+2*cos(∠_Acute)))
This formula uses 3 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)
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.
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.
Volume of Rhombohedron - (Measured in Cubic Meter) - Volume of Rhombohedron is the total quantity of three dimensional space enclosed by the surface of the Rhombohedron.

STEP 1: Convert Input(s) to Base Unit

Acute Angle of Rhombohedron: 50 Degree --> 0.872664625997001 Radian (Check conversion here)
Volume of Rhombohedron: 540 Cubic Meter --> 540 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (6*sin(∠_Acute))/((V/((1-cos(∠_Acute))*sqrt(1+2*cos(∠_Acute))))^(1/3)*(1-cos(∠_Acute))*sqrt(1+2*cos(∠_Acute))) --> (6*sin(0.872664625997001))/((540/((1-cos(0.872664625997001))*sqrt(1+2*cos(0.872664625997001))))^(1/3)*(1-cos(0.872664625997001))*sqrt(1+2*cos(0.872664625997001)))

Evaluating ... ...

R_A/V = 0.851120624320864

STEP 3: Convert Result to Output's Unit

0.851120624320864 1 per Meter --> No Conversion Required

FINAL ANSWER

0.851120624320864 ≈ 0.851121 1 per Meter <-- Surface to Volume Ratio of Rhombohedron

(Calculation completed in 00.007 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 Volume 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 Volume?

Surface to Volume Ratio of Rhombohedron given Volume calculator uses 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))) to calculate the Surface to Volume Ratio of Rhombohedron, Surface to Volume Ratio of Rhombohedron given Volume formula is defined as the numerical ratio of the total surface area of a Rhombohedron to the volume of the Rhombohedron, calculated using its volume. Surface to Volume Ratio of Rhombohedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Rhombohedron given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Rhombohedron given Volume, enter Acute Angle of Rhombohedron (∠_Acute) & Volume of Rhombohedron (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Rhombohedron given Volume calculation can be explained with given input values -> 0.851121 = (6*sin(0.872664625997001))/((540/((1-cos(0.872664625997001))*sqrt(1+2*cos(0.872664625997001))))^(1/3)*(1-cos(0.872664625997001))*sqrt(1+2*cos(0.872664625997001))).

FAQ

What is Surface to Volume Ratio of Rhombohedron given Volume?

Surface to Volume Ratio of Rhombohedron given Volume formula is defined as the numerical ratio of the total surface area of a Rhombohedron to the volume of the Rhombohedron, calculated using its volume and is represented as R_A/V = (6*sin(∠_Acute))/((V/((1-cos(∠_Acute))*sqrt(1+2*cos(∠_Acute))))^(1/3)*(1-cos(∠_Acute))*sqrt(1+2*cos(∠_Acute))) or 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))). Acute Angle of Rhombohedron is the angle of any of the six rhombus faces of the Rhombohedron, which is less than 90 degrees & Volume of Rhombohedron is the total quantity of three dimensional space enclosed by the surface of the Rhombohedron.

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

Surface to Volume Ratio of Rhombohedron given Volume formula is defined as the numerical ratio of the total surface area of a Rhombohedron to the volume of the Rhombohedron, calculated using its volume is calculated using 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))). To calculate Surface to Volume Ratio of Rhombohedron given Volume, you need Acute Angle of Rhombohedron (∠_Acute) & Volume of Rhombohedron (V). With our tool, you need to enter the respective value for Acute Angle of Rhombohedron & Volume 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 Acute Angle of Rhombohedron & Volume 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(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 = (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)))

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